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4123556056320 = 28351763167219
BaseRepresentation
bin111100000000010111000…
…110000000110100000000
3112121012121201012200122020
4330000113012000310000
51020030020322300240
612434200245041440
7603626364105501
oct74002706006400
915535551180566
104123556056320
11134a876990508
1256720a6b6280
1323bb0794832c
1410381ca76ba8
15723e32420d0
hex3c017180d00

4123556056320 has 144 divisors (see below), whose sum is σ = 13944290149440. Its totient is φ = 1034931699712.

The previous prime is 4123556056309. The next prime is 4123556056381. The reversal of 4123556056320 is 236506553214.

It is a happy number.

It is a super-2 number, since 2×41235560563202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31518330 + ... + 31648889.

It is an arithmetic number, because the mean of its divisors is an integer number (96835348260).

Almost surely, 24123556056320 is an apocalyptic number.

4123556056320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4123556056320 is an abundant number, since it is smaller than the sum of its proper divisors (9820734093120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4123556056320 is a wasteful number, since it uses less digits than its factorization.

4123556056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63167260 (or 63167246 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 4123556056320 in words is "four trillion, one hundred twenty-three billion, five hundred fifty-six million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 32640 65280 63167219 126334438 189501657 252668876 315836095 379003314 505337752 631672190 758006628 947508285 1010675504 1073842723 1263344380 1516013256 1895016570 2021351008 2147685446 2526688760 3032026512 3221528169 3790033140 4042702016 4295370892 5053377520 5369213615 6064053024 6443056338 7580066280 8085404032 8590741784 10106755040 10738427230 12128106048 12886112676 15160132560 16107640845 16170808064 17181483568 20213510080 21476854460 24256212096 25772225352 30320265120 32215281690 34362967136 40427020160 42953708920 48512424192 51544450704 60640530240 64430563380 68725934272 80854040320 85907417840 103088901408 121281060480 128861126760 137451868544 171814835680 206177802816 242562120960 257722253520 274903737088 343629671360 412355605632 515444507040 687259342720 824711211264 1030889014080 1374518685440 2061778028160 4123556056320