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400540134360 = 23354996689047
BaseRepresentation
bin1011101010000100000…
…11010110101111011000
31102021212022221001001010
411311002003112233120
523030301233244420
6504001113053520
740636520652522
oct5650203265730
91367768831033
10400540134360
11144960511333
12657640b72a0
132ba03506182
1415559c04a12
15a64403d4e0
hex5d420d6bd8

400540134360 has 64 divisors (see below), whose sum is σ = 1204028640000. Its totient is φ = 106596637056.

The previous prime is 400540134347. The next prime is 400540134361. The reversal of 400540134360 is 63431045004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400540134361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3284644 + ... + 3404403.

It is an arithmetic number, because the mean of its divisors is an integer number (18812947500).

Almost surely, 2400540134360 is an apocalyptic number.

400540134360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400540134360 is an abundant number, since it is smaller than the sum of its proper divisors (803488505640).

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

400540134360 is a wasteful number, since it uses less digits than its factorization.

400540134360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689560 (or 6689556 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 400540134360 its reverse (63431045004), we get a palindrome (463971179364).

The spelling of 400540134360 in words is "four hundred billion, five hundred forty million, one hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 499 998 1497 1996 2495 2994 3992 4990 5988 7485 9980 11976 14970 19960 29940 59880 6689047 13378094 20067141 26756188 33445235 40134282 53512376 66890470 80268564 100335705 133780940 160537128 200671410 267561880 401342820 802685640 3337834453 6675668906 10013503359 13351337812 16689172265 20027006718 26702675624 33378344530 40054013436 50067516795 66756689060 80108026872 100135033590 133513378120 200270067180 400540134360