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44125461641140 = 225111495212583703
BaseRepresentation
bin10100000100001110000100…
…11101110111011110110100
312210020100112021211102220021
422002013002131313132310
521240422421140004030
6233502542432414524
712202650034312225
oct1202070235673664
9183210467742807
1044125461641140
1113072559825670
124b479879a7444
131b81022c50679
14ac798027124c
15517c103c197a
hex2821c27777b4

44125461641140 has 96 divisors (see below), whose sum is σ = 101961227692800. Its totient is φ = 15907336473600.

The previous prime is 44125461641099. The next prime is 44125461641147. The reversal of 44125461641140 is 4114616452144.

44125461641140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44125461641147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15786529 + ... + 18370231.

It is an arithmetic number, because the mean of its divisors is an integer number (1062096121800).

Almost surely, 244125461641140 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 44125461641140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50980613846400).

44125461641140 is an abundant number, since it is smaller than the sum of its proper divisors (57835766051660).

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

44125461641140 is a wasteful number, since it uses less digits than its factorization.

44125461641140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584393 (or 2584391 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 44125461641140 in words is "forty-four trillion, one hundred twenty-five billion, four hundred sixty-one million, six hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 521 596 745 1042 1490 1639 2084 2605 2980 3278 5210 5731 6556 8195 10420 11462 16390 22924 28655 32780 57310 77629 114620 155258 310516 388145 776290 853919 1552580 1707838 2583703 3415676 4269595 5167406 8539190 10334812 12918515 17078380 25837030 28420733 51674060 56841466 113682932 142103665 284207330 384971747 568414660 769943494 1346109263 1539886988 1924858735 2692218526 3849717470 4234689217 5384437052 6730546315 7699434940 8469378434 13461092630 14807201893 16938756868 21173446085 26922185260 29614403786 42346892170 59228807572 74036009465 84693784340 148072018930 200570280187 296144037860 401140560374 802281120748 1002851400935 2005702801870 2206273082057 4011405603740 4412546164114 8825092328228 11031365410285 22062730820570 44125461641140