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311542640406 = 23219979391169
BaseRepresentation
bin1001000100010010110…
…00110110111100010110
31002210010221102220200100
410202021120312330112
520101014403443111
6355042023554530
731336213515234
oct4421130667426
91083127386610
10311542640406
11110140775938
1250466bbba46
13234bc2ba94a
1411116107954
158185bda756
hex4889636f16

311542640406 has 48 divisors (see below), whose sum is σ = 717861034800. Its totient is φ = 97367629824.

The previous prime is 311542640389. The next prime is 311542640411. The reversal of 311542640406 is 604046245113.

311542640406 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 4 + 2 + 640 + 4 + 0 + 6 = 666.

It is a super-2 number, since 2×3115426404062 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662411 + ... + 4728758.

It is an arithmetic number, because the mean of its divisors is an integer number (14955438225).

Almost surely, 2311542640406 is an apocalyptic number.

311542640406 is an abundant number, since it is smaller than the sum of its proper divisors (406318394394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311542640406 is a wasteful number, since it uses less digits than its factorization.

311542640406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9391293 (or 9391290 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 311542640406 its reverse (604046245113), we get a palindrome (915588885519).

The spelling of 311542640406 in words is "three hundred eleven billion, five hundred forty-two million, six hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 97 114 171 194 291 342 582 873 1746 1843 3686 5529 11058 16587 33174 9391169 18782338 28173507 56347014 84520521 169041042 178432211 356864422 535296633 910943393 1070593266 1605889899 1821886786 2732830179 3211779798 5465660358 8198490537 16396981074 17307924467 34615848934 51923773401 103847546802 155771320203 311542640406