Search a number
-
+
402047000431 = 21123314395683
BaseRepresentation
bin1011101100110111101…
…11100101111101101111
31102102202100100202200121
411312123313211331233
523041343013003211
6504410422305411
741022046055206
oct5663367457557
91372670322617
10402047000431
1114556406109a
1265b04888267
132bbb37606bb
141565ddb423d
15a6d1492271
hex5d9bde5f6f

402047000431 has 16 divisors (see below), whose sum is σ = 406039495680. Its totient is φ = 398077283520.

The previous prime is 402047000371. The next prime is 402047000437. The reversal of 402047000431 is 134000740204.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402047000431 is a prime.

It is a super-2 number, since 2×4020470004312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 402047000396 and 402047000405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402047000437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70742716 + ... + 70748398.

It is an arithmetic number, because the mean of its divisors is an integer number (25377468480).

Almost surely, 2402047000431 is an apocalyptic number.

402047000431 is a deficient number, since it is larger than the sum of its proper divisors (3992495249).

402047000431 is a wasteful number, since it uses less digits than its factorization.

With its successor (402047000432) it forms an eRAP, since the sums of their prime factors are consecutive (7566 and 7567).

402047000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566.

The product of its (nonzero) digits is 2688, while the sum is 25.

Adding to 402047000431 its reverse (134000740204), we get a palindrome (536047740635).

The spelling of 402047000431 in words is "four hundred two billion, forty-seven million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 211 233 1439 5683 49163 303629 335287 1199113 1324139 8177837 70745557 279393329 1725523607 1905436021 402047000431