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11434243055144 = 2371328170697907
BaseRepresentation
bin1010011001100011110111…
…1111101101111000101000
31111111002210001120111002212
42212120331333231320220
52444314312210231034
640152452503144252
72260045126225340
oct246307577557050
944432701514085
1011434243055144
113709265129488
121348048a45088
1364c3241c94b0
142b75c54c5d20
1514c66e4632ce
hexa663dfede28

11434243055144 has 128 divisors (see below), whose sum is σ = 26487713145600. Its totient is φ = 4506131589120.

The previous prime is 11434243055029. The next prime is 11434243055201. The reversal of 11434243055144 is 44155034243411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446087239 + ... + 1446095145.

It is an arithmetic number, because the mean of its divisors is an integer number (206935258950).

Almost surely, 211434243055144 is an apocalyptic number.

11434243055144 is a gapful number since it is divisible by the number (14) 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 11434243055144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243856572800).

11434243055144 is an abundant number, since it is smaller than the sum of its proper divisors (15053470090456).

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

11434243055144 is a wasteful number, since it uses less digits than its factorization.

11434243055144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15283 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 11434243055144 its reverse (44155034243411), we get a palindrome (55589277298555).

The spelling of 11434243055144 in words is "eleven trillion, four hundred thirty-four billion, two hundred forty-three million, fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 281 364 562 728 1124 1967 2248 3653 3934 7069 7306 7868 7907 14138 14612 15736 15814 25571 28276 29224 31628 49483 51142 55349 56552 63256 91897 98966 102284 102791 110698 183794 197932 204568 205582 221396 367588 395864 411164 442792 643279 719537 735176 822328 1286558 1439074 1986389 2221867 2573116 2878148 3972778 4443734 5146232 5756296 7945556 8887468 13904723 15553069 15891112 17774936 25823057 27809446 28884271 31106138 51646114 55618892 55894583 57768542 62212276 103292228 111237784 111789166 115537084 124424552 180761399 202189897 206584456 223578332 231074168 361522798 391262081 404379794 447156664 723045596 726629579 782524162 808759588 1446091192 1453259158 1565048324 1617519176 2906518316 3130096648 5086407053 5813036632 10172814106 15706377823 20345628212 31412755646 40691256424 62825511292 109944644761 125651022584 204182911699 219889289522 408365823398 439778579044 816731646796 879557158088 1429280381893 1633463293592 2858560763786 5717121527572 11434243055144