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12044326244440 = 2357474397208147
BaseRepresentation
bin1010111101000100100111…
…0010011001000001011000
31120122102111210201121222111
42233101021302121001120
53034313240004310230
641341030451202104
72352113426613610
oct257211162310130
946572453647874
1012044326244440
113923a74196376
1214263305a6334
13694a0cb500a9
142d8d3c985a40
1515d47962292a
hexaf449c99058

12044326244440 has 128 divisors (see below), whose sum is σ = 31637430282240. Its totient is φ = 4040683347456.

The previous prime is 12044326244437. The next prime is 12044326244459. The reversal of 12044326244440 is 4444262344021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12044326244393 and 12044326244402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57760447 + ... + 57968593.

It is an arithmetic number, because the mean of its divisors is an integer number (247167424080).

Almost surely, 212044326244440 is an apocalyptic number.

12044326244440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12044326244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818715141120).

12044326244440 is an abundant number, since it is smaller than the sum of its proper divisors (19593104037800).

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

12044326244440 is a wasteful number, since it uses less digits than its factorization.

12044326244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212609 (or 212605 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 12044326244440 its reverse (4444262344021), we get a palindrome (16488588588461).

The spelling of 12044326244440 in words is "twelve trillion, forty-four billion, three hundred twenty-six million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 4397 6580 8794 13160 17588 21985 30779 35176 43970 61558 87940 123116 153895 175880 206659 208147 246232 307790 413318 416294 615580 826636 832588 1033295 1040735 1231160 1446613 1457029 1653272 1665176 2066590 2081470 2893226 2914058 4133180 4162940 5786452 5828116 7233065 7285145 8266360 8325880 9782909 11572904 11656232 14466130 14570290 19565818 28932260 29140580 39131636 48914545 57864520 58281160 68480363 78263272 97829090 136960726 195658180 273921452 342401815 391316360 547842904 684803630 915222359 1369607260 1830444718 2739214520 3660889436 4576111795 6406556513 7321778872 9152223590 12813113026 18304447180 25626226052 32032782565 36608894360 43015450873 51252452104 64065565130 86030901746 128131130260 172061803492 215077254365 256262260520 301108156111 344123606984 430154508730 602216312222 860309017460 1204432624444 1505540780555 1720618034920 2408865248888 3011081561110 6022163122220 12044326244440