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105241421544 = 23372921601277
BaseRepresentation
bin110001000000011100…
…0001010011011101000
3101001122110022010220120
41202000320022123220
53211013300442134
6120203000523240
710413660215610
oct1420070123350
9331573263816
10105241421544
11406a6047746
1218491180520
139c026991cc
145145207a40
152b0e47d649
hex1880e0a6e8

105241421544 has 64 divisors (see below), whose sum is σ = 311058403200. Its totient is φ = 29032114944.

The previous prime is 105241421543. The next prime is 105241421599. The reversal of 105241421544 is 445124142501.

It is a super-2 number, since 2×1052414215442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105241421543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10795767 + ... + 10805510.

It is an arithmetic number, because the mean of its divisors is an integer number (4860287550).

Almost surely, 2105241421544 is an apocalyptic number.

105241421544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105241421544 is an abundant number, since it is smaller than the sum of its proper divisors (205816981656).

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

105241421544 is a wasteful number, since it uses less digits than its factorization.

105241421544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21601322 (or 21601318 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 105241421544 in words is "one hundred five billion, two hundred forty-one million, four hundred twenty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 21601277 43202554 64803831 86405108 129607662 151208939 172810216 259215324 302417878 453626817 518430648 604835756 626437033 907253634 1209671512 1252874066 1814507268 1879311099 2505748132 3629014536 3758622198 4385059231 5011496264 7517244396 8770118462 13155177693 15034488792 17540236924 26310355386 35080473848 52620710772 105241421544