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61444471943304 = 23326619137141301
BaseRepresentation
bin11011111100010001001111…
…11011000111000010001000
322001120000220220012002220100
431332020213323013002020
531023201234304141204
6334403111205125400
715641134203034032
oct1576104773070210
9261500826162810
1061444471943304
111863a4aa61564a
126a844253b9860
13283925bb69ac8
141125cdd3d4c52
157184a20e4a39
hex37e227ec7088

61444471943304 has 96 divisors (see below), whose sum is σ = 166683289794840. Its totient is φ = 20448122112000.

The previous prime is 61444471943233. The next prime is 61444471943389. The reversal of 61444471943304 is 40334917444416.

61444471943304 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 447 + 194 + 3 + 3 + 0 + 4 = 666.

61444471943304 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57595804856100 + 3848667087204 = 7589190^2 + 1961802^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434777454 + ... + 434918754.

Almost surely, 261444471943304 is an apocalyptic number.

It is an amenable number.

61444471943304 is an abundant number, since it is smaller than the sum of its proper divisors (105238817851536).

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

61444471943304 is a wasteful number, since it uses less digits than its factorization.

61444471943304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151111 (or 151104 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 61444471943304 in words is "sixty-one trillion, four hundred forty-four billion, four hundred seventy-one million, nine hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 661 1322 1983 2644 3966 5288 5949 7932 9137 11898 15864 18274 23796 27411 36548 47592 54822 73096 82233 109644 141301 164466 219288 282602 328932 423903 565204 657864 847806 1130408 1271709 1695612 2543418 3391224 5086836 6039557 10173672 12079114 18118671 24158228 36237342 48316456 54356013 72474684 93399961 108712026 144949368 186799922 217424052 280199883 373599844 434848104 560399766 747199688 840599649 1120799532 1291067237 1681199298 2241599064 2582134474 3362398596 3873201711 5164268948 6724797192 7746403422 10328537896 11619605133 15492806844 23239210266 30985613688 46478420532 92956841064 853395443657 1706790887314 2560186330971 3413581774628 5120372661942 6827163549256 7680558992913 10240745323884 15361117985826 20481490647768 30722235971652 61444471943304