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130426853440 = 2651373342773
BaseRepresentation
bin111100101111000001…
…0111101100001000000
3110110122200010122110111
41321132002331201000
54114103233302230
6135530044041104
712265045651012
oct1713602754100
9413580118414
10130426853440
115034a616474
122133b833194
13c3b7458b30
1464540601b2
1535d557d92a
hex1e5e0bd840

130426853440 has 112 divisors (see below), whose sum is σ = 334933765488. Its totient is φ = 48090783744.

The previous prime is 130426853429. The next prime is 130426853483. The reversal of 130426853440 is 44358624031.

It can be written as a sum of positive squares in 8 ways, for example, as 4447289344 + 125979564096 = 66688^2 + 354936^2 .

It is a super-2 number, since 2×1304268534402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 130426853393 and 130426853402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027894 + ... + 3070666.

It is an arithmetic number, because the mean of its divisors is an integer number (2990480049).

Almost surely, 2130426853440 is an apocalyptic number.

130426853440 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 130426853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167466882744).

130426853440 is an abundant number, since it is smaller than the sum of its proper divisors (204506912048).

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

130426853440 is a wasteful number, since it uses less digits than its factorization.

130426853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43536 (or 43526 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 130426853440 in words is "one hundred thirty billion, four hundred twenty-six million, eight hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 733 832 1040 1466 2080 2932 3665 4160 5864 7330 9529 11728 14660 19058 23456 29320 38116 42773 46912 47645 58640 76232 85546 95290 117280 152464 171092 190580 213865 234560 304928 342184 381160 427730 556049 609856 684368 762320 855460 1112098 1368736 1524640 1710920 2224196 2737472 2780245 3049280 3421840 4448392 5560490 6843680 8896784 11120980 13687360 17793568 22241960 31352609 35587136 44483920 62705218 88967840 125410436 156763045 177935680 250820872 313526090 407583917 501641744 627052180 815167834 1003283488 1254104360 1630335668 2006566976 2037919585 2508208720 3260671336 4075839170 5016417440 6521342672 8151678340 10032834880 13042685344 16303356680 26085370688 32606713360 65213426720 130426853440