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102344046151400 = 23521732957920409
BaseRepresentation
bin10111010001010011010100…
…100001000000011011101000
3111102100222212112200201202122
4113101103110201000123220
5101403301101303321100
61001400112234450412
730362053604525354
oct2721232441003350
9442328775621678
10102344046151400
112a678958a48779
12b58ab65b93a08
13451500491b5a1
141b3b69a4da464
15bc730bc82985
hex5d14d48406e8

102344046151400 has 48 divisors (see below), whose sum is σ = 239325340373100. Its totient is φ = 40700984814080.

The previous prime is 102344046151381. The next prime is 102344046151481. The reversal of 102344046151400 is 4151640443201.

It can be written as a sum of positive squares in 6 ways, for example, as 39073825820836 + 63270220330564 = 6250906^2 + 7954258^2 .

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 11 ways as a sum of consecutive naturals, for example, 1478925605 + ... + 1478994804.

Almost surely, 2102344046151400 is an apocalyptic number.

102344046151400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102344046151400 is an abundant number, since it is smaller than the sum of its proper divisors (136981294221700).

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

102344046151400 is a wasteful number, since it uses less digits than its factorization.

102344046151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957920598 (or 2957920589 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 102344046151400 its reverse (4151640443201), we get a palindrome (106495686594601).

The spelling of 102344046151400 in words is "one hundred two trillion, three hundred forty-four billion, forty-six million, one hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 200 346 692 865 1384 1730 3460 4325 6920 8650 17300 34600 2957920409 5915840818 11831681636 14789602045 23663363272 29579204090 59158408180 73948010225 118316816360 147896020450 295792040900 511720230757 591584081800 1023440461514 2046880923028 2558601153785 4093761846056 5117202307570 10234404615140 12793005768925 20468809230280 25586011537850 51172023075700 102344046151400