Search a number
-
+
311055533040 = 24357185152103
BaseRepresentation
bin1001000011011000101…
…10101100001111110000
31002201212222212021222210
410201230112230033300
520044020204024130
6354521423332120
731321150256160
oct4415426541760
91081788767883
10311055533040
1110aa1081496a
125034ba51040
13234423cac35
14110ab54a5a0
15815806c5b0
hex486c5ac3f0

311055533040 has 80 divisors (see below), whose sum is σ = 1102025323008. Its totient is φ = 71098407168.

The previous prime is 311055533011. The next prime is 311055533059. The reversal of 311055533040 is 40335550113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 311055532989 and 311055533007.

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, 92574372 + ... + 92577731.

Almost surely, 2311055533040 is an apocalyptic number.

311055533040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311055533040 is an abundant number, since it is smaller than the sum of its proper divisors (790969789968).

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

311055533040 is a wasteful number, since it uses less digits than its factorization.

311055533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185152126 (or 185152120 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 311055533040 in words is "three hundred eleven billion, fifty-five million, five hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 185152103 370304206 555456309 740608412 925760515 1110912618 1296064721 1481216824 1851521030 2221825236 2592129442 2777281545 2962433648 3703042060 3888194163 4443650472 5184258884 5554563090 6480323605 7406084120 7776388326 8887300944 10368517768 11109126180 12960647210 14812168240 15552776652 19440970815 20737035536 22218252360 25921294420 31105553304 38881941630 44436504720 51842588840 62211106608 77763883260 103685177680 155527766520 311055533040