Search a number
-
+
400340131323429 = 311293433121855009
BaseRepresentation
bin101101100000110110111001…
…1010100010001111000100101
31221111111010212002100121021010
41123001231303110101320211
5404433133042104322204
63535241414541412433
7150216422442320643
oct13301556324217045
91844433762317233
10400340131323429
111066193293171a0
1238a98723b6a119
131424cbb26bbb8b
1470c07cc580193
153143b73ab4d89
hex16c1b73511e25

400340131323429 has 32 divisors (see below), whose sum is σ = 602568150249600. Its totient is φ = 234195576975360.

The previous prime is 400340131323409. The next prime is 400340131323479. The reversal of 400340131323429 is 924323131043004.

It is not a de Polignac number, because 400340131323429 - 29 = 400340131322917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400340131323409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57642124 + ... + 64212885.

It is an arithmetic number, because the mean of its divisors is an integer number (18830254695300).

Almost surely, 2400340131323429 is an apocalyptic number.

It is an amenable number.

400340131323429 is a deficient number, since it is larger than the sum of its proper divisors (202228018926171).

400340131323429 is a wasteful number, since it uses less digits than its factorization.

400340131323429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121858485.

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 400340131323429 in words is "four hundred trillion, three hundred forty billion, one hundred thirty-one million, three hundred twenty-three thousand, four hundred twenty-nine".

Divisors: 1 3 11 29 33 87 319 957 3433 10299 37763 99557 113289 298671 1095127 3285381 121855009 365565027 1340405099 3533795261 4021215297 10601385783 38871747871 116615243613 418328245897 1254984737691 4601610704867 12131519131013 13804832114601 36394557393039 133446710441143 400340131323429