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401320013232 = 24315155369759
BaseRepresentation
bin1011101011100001000…
…10010110110110110000
31102100212200101222201210
411311300202112312300
523033400410410412
6504210332400120
740665040554045
oct5656042266660
91370780358653
10401320013232
11145220759926
1265941316040
132bac8c62768
14155d16131cc
15a68c73d83c
hex5d70896db0

401320013232 has 40 divisors (see below), whose sum is σ = 1043609236480. Its totient is φ = 132887419200.

The previous prime is 401320013207. The next prime is 401320013243. The reversal of 401320013232 is 232310023104.

It is a super-4 number, since 4×4013200132324 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 401320013199 and 401320013208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27677632 + ... + 27692127.

It is an arithmetic number, because the mean of its divisors is an integer number (26090230912).

Almost surely, 2401320013232 is an apocalyptic number.

It is an amenable number.

401320013232 is an abundant number, since it is smaller than the sum of its proper divisors (642289223248).

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

401320013232 is a wasteful number, since it uses less digits than its factorization.

401320013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55369921 (or 55369915 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 401320013232 its reverse (232310023104), we get a palindrome (633630036336).

The spelling of 401320013232 in words is "four hundred one billion, three hundred twenty million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 604 906 1208 1812 2416 3624 7248 55369759 110739518 166109277 221479036 332218554 442958072 664437108 885916144 1328874216 2657748432 8360833609 16721667218 25082500827 33443334436 50165001654 66886668872 100330003308 133773337744 200660006616 401320013232