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102455141454400 = 2652713616721367
BaseRepresentation
bin10111010010111010110010…
…010011111101001001000000
3111102202121121222002212101111
4113102322302103331021000
5101412111112203020100
61001523124152413104
730403065626160130
oct2722726223751100
9442677558085344
10102455141454400
112a710a88395179
12b5a85ab6a7194
13452262b013277
141b42bd8d58ac0
15bca1600d46ba
hex5d2eb24fd240

102455141454400 has 168 divisors, whose sum is σ = 288330233291136. Its totient is φ = 35101661798400.

The previous prime is 102455141454349. The next prime is 102455141454481. The reversal of 102455141454400 is 4454141554201.

It is a super-2 number, since 2×1024551414544002 (a number of 29 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 11882517 + ... + 18603883.

Almost surely, 2102455141454400 is an apocalyptic number.

102455141454400 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 102455141454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144165116645568).

102455141454400 is an abundant number, since it is smaller than the sum of its proper divisors (185875091836736).

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

102455141454400 is a wasteful number, since it uses less digits than its factorization.

102455141454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722757 (or 6722742 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

The spelling of 102455141454400 in words is "one hundred two trillion, four hundred fifty-five billion, one hundred forty-one million, four hundred fifty-four thousand, four hundred".