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126264474440 = 23513898273299
BaseRepresentation
bin111010110010111110…
…0101111101101001000
3110001220120212212220022
41311211330233231020
54032042201140230
6134001033520012
712056644216166
oct1654574575510
9401816785808
10126264474440
1149604005525
1220579873008
13bba2cc2b90
14617b31c236
15343ee311e5
hex1d65f2fb48

126264474440 has 128 divisors (see below), whose sum is σ = 309854160000. Its totient is φ = 46027204608.

The previous prime is 126264474433. The next prime is 126264474451. The reversal of 126264474440 is 44474462621.

It is a junction number, because it is equal to n+sod(n) for n = 126264474391 and 126264474400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38271911 + ... + 38275209.

It is an arithmetic number, because the mean of its divisors is an integer number (2420735625).

Almost surely, 2126264474440 is an apocalyptic number.

126264474440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126264474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154927080000).

126264474440 is an abundant number, since it is smaller than the sum of its proper divisors (183589685560).

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

126264474440 is a wasteful number, since it uses less digits than its factorization.

126264474440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 44.

The spelling of 126264474440 in words is "one hundred twenty-six billion, two hundred sixty-four million, four hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 130 178 260 356 445 520 712 827 890 1157 1654 1780 2314 3299 3308 3560 4135 4628 5785 6598 6616 8270 9256 10751 11570 13196 16495 16540 21502 23140 26392 32990 33080 42887 43004 46280 53755 65980 73603 85774 86008 107510 131960 147206 171548 214435 215020 293611 294412 343096 368015 428870 430040 587222 588824 736030 857740 956839 1174444 1468055 1472060 1715480 1913678 2348888 2728273 2936110 2944120 3816943 3827356 4784195 5456546 5872220 7633886 7654712 9568390 10913092 11744440 13641365 15267772 19084715 19136780 21826184 27282730 30535544 35467549 38169430 38273560 54565460 70935098 76338860 109130920 141870196 152677720 177337745 242816297 283740392 354675490 485632594 709350980 971265188 1214081485 1418701960 1942530376 2428162970 3156611861 4856325940 6313223722 9712651880 12626447444 15783059305 25252894888 31566118610 63132237220 126264474440