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342312400440032 = 251117281203575133
BaseRepresentation
bin100110111010101001101000…
…1000001111100101011100000
31122220000202010202021002200112
41031311103101001330223200
5324331421244003040112
63212012051255110452
7132050153252134601
oct11565232101745340
91586022122232615
10342312400440032
119a086967a89820
123248652a372428
1311900bc8160a09
14607601979bda8
1529894e76d6a22
hex13754d107cae0

342312400440032 has 96 divisors (see below), whose sum is σ = 781210619419104. Its totient is φ = 145922654617600.

The previous prime is 342312400440029. The next prime is 342312400440071. The reversal of 342312400440032 is 230044004213243.

It is a super-2 number, since 2×3423124004400322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100106063 + ... + 103469070.

It is an arithmetic number, because the mean of its divisors is an integer number (8137610618949).

Almost surely, 2342312400440032 is an apocalyptic number.

342312400440032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342312400440032 is an abundant number, since it is smaller than the sum of its proper divisors (438898218979072).

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

342312400440032 is a wasteful number, since it uses less digits than its factorization.

342312400440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203575452 (or 203575444 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 342312400440032 its reverse (230044004213243), we get a palindrome (572356404653275).

The spelling of 342312400440032 in words is "three hundred forty-two trillion, three hundred twelve billion, four hundred million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 281 352 374 544 562 748 1124 1496 2248 2992 3091 4496 4777 5984 6182 8992 9554 12364 19108 24728 38216 49456 52547 76432 98912 105094 152864 210188 420376 840752 1681504 203575133 407150266 814300532 1628601064 2239326463 3257202128 3460777261 4478652926 6514404256 6921554522 8957305852 13843109044 17914611704 27686218088 35829223408 38068549871 55372436176 57204612373 71658446816 76137099742 110744872352 114409224746 152274199484 228818449492 304548398968 457636898984 609096797936 629250736103 915273797968 972478410341 1218193595872 1258501472206 1830547595936 1944956820682 2517002944412 3889913641364 5034005888824 7779827282728 10068011777648 10697262513751 15559654565456 20136023555296 21394525027502 31119309130912 42789050055004 85578100110008 171156200220016 342312400440032