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231445383544132 = 2273101137397144289
BaseRepresentation
bin110100100111111110010011…
…110111101111110101000100
31010100110221222201110112020021
4310213332103313233311010
5220314000121141403012
62140124312534144524
766515243235305602
oct6447762367576504
91110427881415207
10231445383544132
116782248827305a
1221b5b7ba7b2144
139c1b28a815504
144122032b68872
151bb565b429007
hexd27f93defd44

231445383544132 has 96 divisors (see below), whose sum is σ = 418724452510560. Its totient is φ = 111899153203200.

The previous prime is 231445383544079. The next prime is 231445383544157.

231445383544132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 9374766206976 + 222070617337156 = 3061824^2 + 14902034^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 231445383544132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1603968244 + ... + 1604112532.

It is an arithmetic number, because the mean of its divisors is an integer number (4361713046985).

Almost surely, 2231445383544132 is an apocalyptic number.

It is an amenable number.

231445383544132 is a deficient number, since it is larger than the sum of its proper divisors (187279068966428).

231445383544132 is a wasteful number, since it uses less digits than its factorization.

231445383544132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145001 (or 144999 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 52.

The spelling of 231445383544132 in words is "two hundred thirty-one trillion, four hundred forty-five billion, three hundred eighty-three million, five hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 73 101 137 146 202 274 292 397 404 548 794 1588 7373 10001 13837 14746 20002 27674 28981 29492 40004 40097 54389 55348 57962 80194 108778 115924 144289 160388 217556 288578 577156 1010101 2020202 2927081 3970397 4040404 5493289 5854162 7940794 10533097 10986578 11708324 14573189 15881588 19767593 21066194 21973156 29146378 39535186 42132388 57282733 58292756 79070372 114565466 229130932 401010097 802020194 1063842797 1443034289 1604040388 1996526893 2127685594 2886068578 3993053786 4181639509 4255371188 5772137156 5785556033 7847734421 7986107572 8363279018 11571112066 15695468842 16726558036 23142224132 31390937684 145746463189 291492926378 422345590409 572884612733 582985852756 792621176521 844691180818 1145769225466 1585242353042 1689382361636 2291538450932 3170484706084 57861345886033 115722691772066 231445383544132