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400431223542021 = 371731353102499871
BaseRepresentation
bin101101100001100001010100…
…0110101100001000100000101
31221111210211222110102202121220
41123003002220311201010011
5404441131121211321041
63535351321540030553
7150226126003361160
oct13303025065410405
91844724873382556
10400431223542021
11106653a23518281
1238ab2306692459
131425866b899039
1470c4d90552ad7
153146205c8bd66
hex16c30a8d61105

400431223542021 has 64 divisors (see below), whose sum is σ = 668804284809216. Its totient is φ = 207820536422400.

The previous prime is 400431223542011. The next prime is 400431223542041. The reversal of 400431223542021 is 120245322134004.

It is a happy number.

It is not a de Polignac number, because 400431223542021 - 25 = 400431223541989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400431223542011) 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 63 ways as a sum of consecutive naturals, for example, 47343285 + ... + 55156586.

It is an arithmetic number, because the mean of its divisors is an integer number (10450066950144).

Almost surely, 2400431223542021 is an apocalyptic number.

It is an amenable number.

400431223542021 is a deficient number, since it is larger than the sum of its proper divisors (268373061267195).

400431223542021 is a wasteful number, since it uses less digits than its factorization.

400431223542021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102500282.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 400431223542021 its reverse (120245322134004), we get a palindrome (520676545676025).

The spelling of 400431223542021 in words is "four hundred trillion, four hundred thirty-one billion, two hundred twenty-three million, five hundred forty-two thousand, twenty-one".

Divisors: 1 3 7 17 21 31 51 93 119 217 353 357 527 651 1059 1581 2471 3689 6001 7413 10943 11067 18003 32829 42007 76601 126021 186031 229803 558093 1302217 3906651 102499871 307499613 717499097 1742497807 2152497291 3177496001 5227493421 9532488003 12197484649 22242472007 36182454463 36592453947 54017432017 66727416021 108547363389 162052296051 253277181241 378122024119 615101725871 759831543723 1121656088353 1134366072357 1845305177613 3364968265059 4305712081097 7851592618471 12917136243291 19068153502001 23554777855413 57204460506003 133477074514007 400431223542021