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1413357504 = 263134631223
BaseRepresentation
bin101010000111110…
…0001111111000000
310122111111000000020
41110033201333000
510343304420004
6352125053440
750011224546
oct12417417700
93574430006
101413357504
11665892459
123353b7280
13196a77620
14d59cbd96
15841328d9
hex543e1fc0

1413357504 has 112 divisors (see below), whose sum is σ = 4039160832. Its totient is φ = 433585152.

The previous prime is 1413357493. The next prime is 1413357523. The reversal of 1413357504 is 4057533141.

It is a super-2 number, since 2×14133575042 = 3995158868226220032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155037 + ... + 1156259.

It is an arithmetic number, because the mean of its divisors is an integer number (36063936).

Almost surely, 21413357504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019580416).

1413357504 is an abundant number, since it is smaller than the sum of its proper divisors (2625803328).

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

1413357504 is a wasteful number, since it uses less digits than its factorization.

1413357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1413357504 is about 37594.6472785688. The cubic root of 1413357504 is about 1122.2355179347.

The spelling of 1413357504 in words is "one billion, four hundred thirteen million, three hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 463 624 832 926 1223 1248 1389 1852 2446 2496 2778 3669 3704 4892 5556 6019 7338 7408 9784 11112 12038 14676 14816 15899 18057 19568 22224 24076 29352 29632 31798 36114 39136 44448 47697 48152 58704 63596 72228 78272 88896 95394 96304 117408 127192 144456 190788 192608 234816 254384 288912 381576 385216 508768 566249 577824 763152 1017536 1132498 1155648 1526304 1698747 2264996 3052608 3397494 4529992 6794988 7361237 9059984 13589976 14722474 18119968 22083711 27179952 29444948 36239936 44167422 54359904 58889896 88334844 108719808 117779792 176669688 235559584 353339376 471119168 706678752 1413357504