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400133245520 = 24523920927471
BaseRepresentation
bin1011101001010011100…
…11001100101001010000
31102020210222021221111002
411310221303030221100
523023433102324040
6503452500041132
740623450316631
oct5645163145120
91366728257432
10400133245520
11144771870768
126566b9931a8
132b96a122148
141551bb69888
15a61d468a15
hex5d29ccca50

400133245520 has 40 divisors (see below), whose sum is σ = 934202350080. Its totient is φ = 159383611520.

The previous prime is 400133245483. The next prime is 400133245537. The reversal of 400133245520 is 25542331004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4001332455202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10444616 + ... + 10482855.

It is an arithmetic number, because the mean of its divisors is an integer number (23355058752).

Almost surely, 2400133245520 is an apocalyptic number.

400133245520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400133245520 is an abundant number, since it is smaller than the sum of its proper divisors (534069104560).

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

400133245520 is a wasteful number, since it uses less digits than its factorization.

400133245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20927723 (or 20927717 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 400133245520 its reverse (25542331004), we get a palindrome (425675576524).

The spelling of 400133245520 in words is "four hundred billion, one hundred thirty-three million, two hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 19120 20927471 41854942 83709884 104637355 167419768 209274710 334839536 418549420 837098840 1674197680 5001665569 10003331138 20006662276 25008327845 40013324552 50016655690 80026649104 100033311380 200066622760 400133245520