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61442701947144 = 2333776952843573
BaseRepresentation
bin11011111100001101111100…
…11011000111000100001000
322001112212100112121222122000
431332012332123013010020
531023134123144302034
6334402215420031000
715641042301232260
oct1576067633070410
9261485315558560
1061442701947144
1118639781494301
126a84010692460
1328390392536bb
141125bb22cc7a0
157183eba16599
hex37e1be6c7108

61442701947144 has 128 divisors (see below), whose sum is σ = 195309849504000. Its totient is φ = 17532228943872.

The previous prime is 61442701947139. The next prime is 61442701947223. The reversal of 61442701947144 is 44174910724416.

It is a happy number.

61442701947144 is a `hidden beast` number, since 6 + 1 + 44 + 270 + 194 + 7 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 25259059 + ... + 27584514.

It is an arithmetic number, because the mean of its divisors is an integer number (1525858199250).

Almost surely, 261442701947144 is an apocalyptic number.

It is an amenable number.

61442701947144 is an abundant number, since it is smaller than the sum of its proper divisors (133867147556856).

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

61442701947144 is a wasteful number, since it uses less digits than its factorization.

61442701947144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52844364 (or 52844354 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 61442701947144 in words is "sixty-one trillion, four hundred forty-two billion, seven hundred one million, nine hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 769 1512 1538 2307 3076 4614 5383 6152 6921 9228 10766 13842 16149 18456 20763 21532 27684 32298 41526 43064 48447 55368 64596 83052 96894 129192 145341 166104 193788 290682 387576 581364 1162728 52843573 105687146 158530719 211374292 317061438 369905011 422748584 475592157 634122876 739810022 951184314 1109715033 1268245752 1426776471 1479620044 1902368628 2219430066 2853552942 2959240088 3329145099 3804737256 4438860132 5707105884 6658290198 8877720264 9987435297 11414211768 13316580396 19974870594 26633160792 39949741188 40636707637 79899482376 81273415274 121910122911 162546830548 243820245822 284456953459 325093661096 365730368733 487640491644 568913906918 731460737466 853370860377 975280983288 1097191106199 1137827813836 1462921474932 1706741720754 2194382212398 2275655627672 2560112581131 2925842949864 3413483441508 4388764424796 5120225162262 6826966883016 7680337743393 8777528849592 10240450324524 15360675486786 20480900649048 30721350973572 61442701947144