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12044323431432 = 2333607345726573
BaseRepresentation
bin1010111101000100100110…
…0111101010010000001000
31120122102111121102201021000
42233101021213222100020
53034313233244301212
641341030311015000
72352113363656455
oct257211147522010
946572447381230
1012044323431432
113923a72644976
12142632b66a460
13694a0c3a68a6
142d8d3c45282c
1515d4792691dc
hexaf4499ea408

12044323431432 has 128 divisors (see below), whose sum is σ = 33522527001600. Its totient is φ = 4006850125824.

The previous prime is 12044323431403. The next prime is 12044323431449. The reversal of 12044323431432 is 23413432344021.

12044323431432 is a `hidden beast` number, since 1 + 204 + 432 + 3 + 4 + 3 + 14 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 453240898 + ... + 453267470.

It is an arithmetic number, because the mean of its divisors is an integer number (261894742200).

Almost surely, 212044323431432 is an apocalyptic number.

12044323431432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12044323431432 is an abundant number, since it is smaller than the sum of its proper divisors (21478203570168).

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

12044323431432 is a wasteful number, since it uses less digits than its factorization.

12044323431432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30652 (or 30642 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12044323431432 its reverse (23413432344021), we get a palindrome (35457755775453).

The spelling of 12044323431432 in words is "twelve trillion, forty-four billion, three hundred twenty-three million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 607 1214 1821 2428 3457 3642 4856 5463 6914 7284 10371 10926 13828 14568 16389 20742 21852 26573 27656 31113 32778 41484 43704 53146 62226 65556 79719 82968 93339 106292 124452 131112 159438 186678 212584 239157 248904 318876 373356 478314 637752 717471 746712 956628 1434942 1913256 2098399 2869884 4196798 5739768 6295197 8393596 12590394 16129811 16787192 18885591 25180788 32259622 37771182 48389433 50361576 56656773 64519244 75542364 91862861 96778866 113313546 129038488 145168299 151084728 183725722 193557732 226627092 275588583 290336598 367451444 387115464 435504897 453254184 551177166 580673196 734902888 826765749 871009794 1102354332 1161346392 1653531498 1742019588 2204708664 2480297247 3307062996 3484039176 4960594494 6614125992 9921188988 19842377976 55760756627 111521513254 167282269881 223043026508 334564539762 446086053016 501846809643 669129079524 1003693619286 1338258159048 1505540428929 2007387238572 3011080857858 4014774477144 6022161715716 12044323431432