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400240125405520 = 245172851103224907
BaseRepresentation
bin101101100000001000010101…
…0011111111110100101010000
31221111010120201111120121011121
41123000100222133332211100
5404430013234100434040
63535123435243452024
7150206252264124031
oct13300205237764520
91844116644517147
10400240125405520
1110658a97a609964
1238a81274227014
13142436358b991a
1470b9a2281ca88
15314126e0abc4a
hex16c042a7fe950

400240125405520 has 80 divisors (see below), whose sum is σ = 985642621138368. Its totient is φ = 150625782835200.

The previous prime is 400240125405509. The next prime is 400240125405539. The reversal of 400240125405520 is 25504521042004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×4002401254055204 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 47735094 + ... + 55489813.

Almost surely, 2400240125405520 is an apocalyptic number.

400240125405520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400240125405520 is an abundant number, since it is smaller than the sum of its proper divisors (585402495732848).

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

400240125405520 is a wasteful number, since it uses less digits than its factorization.

400240125405520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103227788 (or 103227782 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

Adding to 400240125405520 its reverse (25504521042004), we get a palindrome (425744646447524).

The spelling of 400240125405520 in words is "four hundred trillion, two hundred forty billion, one hundred twenty-five million, four hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2851 5702 11404 14255 22808 28510 45616 48467 57020 96934 114040 193868 228080 242335 387736 484670 775472 969340 1938680 3877360 103224907 206449814 412899628 516124535 825799256 1032249070 1651598512 1754823419 2064498140 3509646838 4128996280 7019293676 8257992560 8774117095 14038587352 17548234190 28077174704 35096468380 70192936760 140385873520 294294209857 588588419714 1177176839428 1471471049285 2354353678856 2942942098570 4708707357712 5003001567569 5885884197140 10006003135138 11771768394280 20012006270276 23543536788560 25015007837845 40024012540552 50030015675690 80048025081104 100060031351380 200120062702760 400240125405520