Search a number
-
+
461476521105240 = 233512647304075091
BaseRepresentation
bin110100011101101011110000…
…0000111001101011101011000
32020111221201120012121100010210
41220323113200013031131120
5440441312403400331430
64313251215341011120
7166126402251244314
oct15073274007153530
92214851505540123
10461476521105240
1112404a10354aa33
12439112a9253aa0
1316a6608417aab4
1481d582329cb44
1538540e3bc12b0
hex1a3b5e01cd758

461476521105240 has 64 divisors (see below), whose sum is σ = 1384539034901760. Its totient is φ = 123050674820480.

The previous prime is 461476521105143. The next prime is 461476521105323. The reversal of 461476521105240 is 42501125674164.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 461476521105240.

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, 150519906 + ... + 153555185.

It is an arithmetic number, because the mean of its divisors is an integer number (21633422420340).

Almost surely, 2461476521105240 is an apocalyptic number.

461476521105240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461476521105240 is an abundant number, since it is smaller than the sum of its proper divisors (923062513796520).

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

461476521105240 is a wasteful number, since it uses less digits than its factorization.

461476521105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304087752 (or 304087748 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 461476521105240 in words is "four hundred sixty-one trillion, four hundred seventy-six billion, five hundred twenty-one million, one hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12647 25294 37941 50588 63235 75882 101176 126470 151764 189705 252940 303528 379410 505880 758820 1517640 304075091 608150182 912225273 1216300364 1520375455 1824450546 2432600728 3040750910 3648901092 4561126365 6081501820 7297802184 9122252730 12163003640 18244505460 36489010920 3845637675877 7691275351754 11536913027631 15382550703508 19228188379385 23073826055262 30765101407016 38456376758770 46147652110524 57684565138155 76912753517540 92295304221048 115369130276310 153825507035080 230738260552620 461476521105240