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77140004105444 = 2271911310691200361
BaseRepresentation
bin10001100010100010001110…
…100010101110110011100100
3101010010111211112000012112112
4101202202032202232303210
540102330212022333234
6432021343442540152
722151116133121620
oct2142421642566344
9333114745005475
1077140004105444
112264098a311035
12879a2bb367658
13340736aa00b77
14150984ba78180
158db8c6477ace
hex46288e8aece4

77140004105444 has 96 divisors (see below), whose sum is σ = 163990575571200. Its totient is φ = 31013768540160.

The previous prime is 77140004105441. The next prime is 77140004105449. The reversal of 77140004105444 is 44450140004177.

It is not an unprimeable number, because it can be changed into a prime (77140004105441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63663824 + ... + 64864184.

It is an arithmetic number, because the mean of its divisors is an integer number (1708235162200).

Almost surely, 277140004105444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77140004105444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81995287785600).

77140004105444 is an abundant number, since it is smaller than the sum of its proper divisors (86850571465756).

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

77140004105444 is a wasteful number, since it uses less digits than its factorization.

77140004105444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201573 (or 1201571 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 41.

The spelling of 77140004105444 in words is "seventy-seven trillion, one hundred forty billion, four million, one hundred five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 113 133 226 266 452 532 791 1069 1582 2138 2147 3164 4276 4294 7483 8588 14966 15029 20311 29932 30058 40622 60116 81244 120797 142177 241594 284354 483188 568708 845579 1200361 1691158 2295143 2400722 3382316 4590286 4801444 8402527 9180572 16066001 16805054 22806859 32132002 33610108 45613718 64264004 91227436 135640793 159648013 271281586 319296026 542563172 638592052 949485551 1283185909 1898971102 2566371818 2577175067 3797942204 5132743636 5154350134 8982301363 10308700268 17964602726 18040225469 24380532271 35929205452 36080450938 48761064542 72160901876 97522129084 145000007717 170663725897 290000015434 341327451794 580000030868 682654903588 1015000054019 2030000108038 2755000146623 4060000216076 5510000293246 11020000586492 19285001026361 38570002052722 77140004105444