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11434037744724 = 22372176717072557
BaseRepresentation
bin1010011001100011000111…
…0000100001010001010100
31111111002020202020122011020
42212120301300201101110
52444313402130312344
640152420250441140
72260040054142600
oct246306160412124
944432222218136
1011434037744724
11370916a249751
121347bb01331b0
1364c2c080303a
142b75a6120500
1514c65b40a719
hexa6631c21454

11434037744724 has 144 divisors (see below), whose sum is σ = 33351310343232. Its totient is φ = 3028808014848.

The previous prime is 11434037744677. The next prime is 11434037744761. The reversal of 11434037744724 is 42744773043411.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7866547 + ... + 9206010.

It is an arithmetic number, because the mean of its divisors is an integer number (231606321828).

Almost surely, 211434037744724 is an apocalyptic number.

11434037744724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11434037744724 is an abundant number, since it is smaller than the sum of its proper divisors (21917272598508).

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

11434037744724 is a wasteful number, since it uses less digits than its factorization.

11434037744724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17072662 (or 17072653 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 51.

The spelling of 11434037744724 in words is "eleven trillion, four hundred thirty-four billion, thirty-seven million, seven hundred forty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 67 68 84 98 102 119 134 147 196 201 204 238 268 294 357 402 469 476 588 714 804 833 938 1139 1407 1428 1666 1876 2278 2499 2814 3283 3332 3417 4556 4998 5628 6566 6834 7973 9849 9996 13132 13668 15946 19698 23919 31892 39396 47838 55811 95676 111622 167433 223244 334866 669732 17072557 34145114 51217671 68290228 102435342 119507899 204870684 239015798 290233469 358523697 478031596 580466938 717047394 836555293 870700407 1143861319 1160933876 1434094788 1673110586 1741400814 2031634283 2287722638 2509665879 3346221172 3431583957 3482801628 4063268566 4575445276 5019331758 6094902849 6863167914 8007029233 8126537132 10038663516 12189805698 13726335828 14221439981 16014058466 19445642423 24021087699 24379611396 28442879962 32028116932 38891284846 42664319943 48042175398 56049204631 56885759924 58336927269 77782569692 85328639886 96084350796 112098409262 116673854538 136119496961 168147613893 170657279772 224196818524 233347709076 272238993922 336295227786 408358490883 544477987844 672590455572 816716981766 952836478727 1633433963532 1905672957454 2858509436181 3811345914908 5717018872362 11434037744724