Search a number
-
+
400430266201 = 72101101379873
BaseRepresentation
bin1011101001110111000…
…00001111011101011001
31102021120200012011021001
411310323200033131121
523030040122004301
6503542150145001
740634015050300
oct5647340173531
91367520164231
10400430266201
1114490449a7a9
1265733352161
132b9b6818b24
14155493a5437
15a639589c01
hex5d3b80f759

400430266201 has 24 divisors (see below), whose sum is σ = 470888860104. Its totient is φ = 339487948800.

The previous prime is 400430266183. The next prime is 400430266241. The reversal of 400430266201 is 102662034004.

It can be written as a sum of positive squares in 4 ways, for example, as 2294505801 + 398135760400 = 47901^2 + 630980^2 .

It is not a de Polignac number, because 400430266201 - 25 = 400430266169 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 400430266201.

It is not an unprimeable number, because it can be changed into a prime (400430266241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4973401 + ... + 5053273.

It is an arithmetic number, because the mean of its divisors is an integer number (19620369171).

Almost surely, 2400430266201 is an apocalyptic number.

It is an amenable number.

400430266201 is a deficient number, since it is larger than the sum of its proper divisors (70458593903).

400430266201 is a wasteful number, since it uses less digits than its factorization.

400430266201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81001 (or 80994 counting only the distinct ones).

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

The spelling of 400430266201 in words is "four hundred billion, four hundred thirty million, two hundred sixty-six thousand, two hundred one".

Divisors: 1 7 49 101 707 1013 4949 7091 49637 79873 102313 559111 716191 3913777 5013337 8067173 56470211 80911349 395291477 566379443 3964656101 8172046249 57204323743 400430266201