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400434130203121 = 7883257926639433
BaseRepresentation
bin101101100001100010101011…
…0000101100011000111110001
31221111211010111000211110001201
41123003011112011203013301
5404441203044312444441
63535352522211531201
7150226261016523610
oct13303052605430761
91844733430743051
10400434130203121
11106655185226833
1238ab2997bb9b01
1314258a12b2c951
1470c51885bd877
153146326044c31
hex16c31561631f1

400434130203121 has 32 divisors (see below), whose sum is σ = 458555651573760. Its totient is φ = 342542601523584.

The previous prime is 400434130203119. The next prime is 400434130203139. The reversal of 400434130203121 is 121302031434004.

It is a happy number.

It is not a de Polignac number, because 400434130203121 - 21 = 400434130203119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400434130203121.

It is not an unprimeable number, because it can be changed into a prime (400434130203521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42450343021 + ... + 42450352453.

It is an arithmetic number, because the mean of its divisors is an integer number (14329864111680).

Almost surely, 2400434130203121 is an apocalyptic number.

It is an amenable number.

400434130203121 is a deficient number, since it is larger than the sum of its proper divisors (58121521370639).

400434130203121 is a wasteful number, since it uses less digits than its factorization.

400434130203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 400434130203121 its reverse (121302031434004), we get a palindrome (521736161637125).

The spelling of 400434130203121 in words is "four hundred trillion, four hundred thirty-four billion, one hundred thirty million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 7 883 2579 2663 6181 9433 18053 18641 66031 2277257 2351429 6867877 8329339 15940799 16460003 24327707 25120079 48075139 58305373 170293949 175840553 6064335391 21481365281 22181029757 42450347737 64784683741 150369556967 155267208299 453492786187 57204875743303 400434130203121