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311040433132 = 2211213475917827
BaseRepresentation
bin1001000011010110111…
…01000101101111101100
31002201211221110010210221
410201223131011233230
520044002322330012
6354520123541124
731320605026132
oct4415335055754
91081757403727
10311040433132
1110aa03241100
125034698a7a4
132343c241c90
14110a9539752
158156a88507
hex486b745bec

311040433132 has 144 divisors (see below), whose sum is σ = 669226037760. Its totient is φ = 125557787520.

The previous prime is 311040433097. The next prime is 311040433177. The reversal of 311040433132 is 231334040113.

It is a junction number, because it is equal to n+sod(n) for n = 311040433097 and 311040433106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17438803 + ... + 17456629.

It is an arithmetic number, because the mean of its divisors is an integer number (4647403040).

Almost surely, 2311040433132 is an apocalyptic number.

It is an amenable number.

311040433132 is an abundant number, since it is smaller than the sum of its proper divisors (358185604628).

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

311040433132 is a wasteful number, since it uses less digits than its factorization.

311040433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17972 (or 17959 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 311040433132 its reverse (231334040113), we get a palindrome (542374473245).

The spelling of 311040433132 in words is "three hundred eleven billion, forty million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 47 52 59 94 118 121 143 188 236 242 286 484 517 572 611 649 767 1034 1222 1298 1534 1573 2068 2444 2596 2773 3068 3146 5546 5687 6292 6721 7139 8437 11092 11374 13442 14278 16874 17827 22748 26884 28556 30503 33748 35654 36049 61006 71308 72098 73931 92807 122012 144196 147862 185614 196097 231751 295724 335533 371228 392194 396539 463502 671066 784388 793078 837869 927004 1051793 1342132 1586156 1675738 2103586 2157067 2549261 3351476 4207172 4314134 4361929 5098522 8628268 8723858 9216559 10197044 10892297 11569723 13673309 17447716 18433118 21784594 23139446 27346618 28041871 36866236 43569188 46278892 49434271 54693236 56083742 98868542 101382149 112167484 119815267 127266953 150406399 197737084 202764298 239630534 254533906 300812798 405528596 479261068 509067812 543776981 601625596 642645523 1087553962 1285291046 1317967937 1654470389 2175107924 2570582092 2635935874 3308940778 5271871748 5981546791 6617881556 7069100753 11963093582 14138201506 23926187164 28276403012 77760108283 155520216566 311040433132