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311431142040 = 23354084963533
BaseRepresentation
bin1001000100000101011…
…11100001101010011000
31002202212011122012200020
410202002233201222120
520100302333021130
6355023002110440
731333361013144
oct4420257415230
91082764565606
10311431142040
11110093840527
12504357ab420
13234a217c595
14111053a2224
15817b013e10
hex4882be1a98

311431142040 has 64 divisors (see below), whose sum is σ = 934331004000. Its totient is φ = 83044964352.

The previous prime is 311431141993. The next prime is 311431142053. The reversal of 311431142040 is 40241134113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 311431142040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4870114 + ... + 4933646.

Almost surely, 2311431142040 is an apocalyptic number.

311431142040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311431142040 is an abundant number, since it is smaller than the sum of its proper divisors (622899861960).

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

311431142040 is a wasteful number, since it uses less digits than its factorization.

311431142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104396 (or 104392 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 311431142040 its reverse (40241134113), we get a palindrome (351672276153).

The spelling of 311431142040 in words is "three hundred eleven billion, four hundred thirty-one million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 40849 63533 81698 122547 127066 163396 190599 204245 245094 254132 317665 326792 381198 408490 490188 508264 612735 635330 762396 816980 952995 980376 1225470 1270660 1524792 1633960 1905990 2450940 2541320 3811980 4901880 7623960 2595259517 5190519034 7785778551 10381038068 12976297585 15571557102 20762076136 25952595170 31143114204 38928892755 51905190340 62286228408 77857785510 103810380680 155715571020 311431142040