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105241365021444 = 22359257957637067
BaseRepresentation
bin10111111011011101101010…
…001011011000001100000100
3111210121222100200022011002120
4113323131222023120030010
5102243233303421141234
61011455114325205540
731111303063552521
oct2773355213301404
9453558320264076
10105241365021444
1130595680a10773
12b9785942608b0
1346952ab331312
141bdb9d0252148
15c27881bd3049
hex5fb76a2d8304

105241365021444 has 48 divisors (see below), whose sum is σ = 249822107539200. Its totient is φ = 34472498626336.

The previous prime is 105241365021391. The next prime is 105241365021469. The reversal of 105241365021444 is 444120563142501.

105241365021444 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052413650214442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105241365021396 and 105241365021405.

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, 26992602 + ... + 30644465.

It is an arithmetic number, because the mean of its divisors is an integer number (5204627240400).

Almost surely, 2105241365021444 is an apocalyptic number.

It is an amenable number.

105241365021444 is an abundant number, since it is smaller than the sum of its proper divisors (144580742517756).

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

105241365021444 is a wasteful number, since it uses less digits than its factorization.

105241365021444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57639712 (or 57639710 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 105241365021444 in words is "one hundred five trillion, two hundred forty-one billion, three hundred sixty-five million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 2579 5158 7737 10316 15474 30948 152161 304322 456483 608644 912966 1825932 57637067 115274134 172911201 230548268 345822402 691644804 3400586953 6801173906 10201760859 13602347812 20403521718 40807043436 148645995793 297291991586 445937987379 594583983172 891875974758 1783751949516 8770113751787 17540227503574 26310341255361 35080455007148 52620682510722 105241365021444