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400120021004 = 221167400133923
BaseRepresentation
bin1011101001010010000…
…00110000000000001100
31102020210001102001212012
411310221000300000030
523023421211133004
6503451304400352
740623230030324
oct5645100600014
91366701361765
10400120021004
11144765358a10
12656674760b8
132b9674719a2
141551a0c6284
15a61c20546e
hex5d2903000c

400120021004 has 48 divisors (see below), whose sum is σ = 775483099776. Its totient is φ = 179108160000.

The previous prime is 400120020967. The next prime is 400120021013.

400120021004 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 400120021004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11777987 + ... + 11811909.

It is an arithmetic number, because the mean of its divisors is an integer number (16155897912).

Almost surely, 2400120021004 is an apocalyptic number.

400120021004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400120021004 is a deficient number, since it is larger than the sum of its proper divisors (375363078772).

400120021004 is a wasteful number, since it uses less digits than its factorization.

400120021004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38006 (or 38004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 4001200 and 21004, that added together give a palindrome (4022204).

The spelling of 400120021004 in words is "four hundred billion, one hundred twenty million, twenty-one thousand, four".

Divisors: 1 2 4 11 22 44 67 134 268 737 1474 2948 4001 8002 16004 33923 44011 67846 88022 135692 176044 268067 373153 536134 746306 1072268 1492612 2272841 2948737 4545682 5897474 9091364 11794948 25001251 50002502 100005004 135725923 271451846 542903692 1492985153 2985970306 5971940612 9093636841 18187273682 36374547364 100030005251 200060010502 400120021004