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11434033434024 = 23321671511629341
BaseRepresentation
bin1010011001100011000110…
…0000000100110110101000
31111111002020110010121222200
42212120301200010312220
52444313400024342044
640152420014220200
72260040002410135
oct246306140046650
944432213117880
1011434033434024
113709167874a93
121347baa7b4660
1364c2bc953c26
142b75a571b58c
1514c65ad58369
hexa6631804da8

11434033434024 has 96 divisors (see below), whose sum is σ = 31173272807040. Its totient is φ = 3786008745600.

The previous prime is 11434033434007. The next prime is 11434033434059. The reversal of 11434033434024 is 42043433043411.

11434033434024 is a `hidden beast` number, since 1 + 143 + 40 + 33 + 43 + 402 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11434033434024.

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 23 ways as a sum of consecutive naturals, for example, 17853594 + ... + 18482934.

It is an arithmetic number, because the mean of its divisors is an integer number (324721591740).

Almost surely, 211434033434024 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 11434033434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586636403520).

11434033434024 is an abundant number, since it is smaller than the sum of its proper divisors (19739239373016).

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

11434033434024 is a wasteful number, since it uses less digits than its factorization.

11434033434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631031 (or 631024 counting only the distinct ones).

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

Adding to 11434033434024 its reverse (42043433043411), we get a palindrome (53477466477435).

The spelling of 11434033434024 in words is "eleven trillion, four hundred thirty-four billion, thirty-three million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 1511 2004 3006 3022 4008 4533 6012 6044 9066 12024 12088 13599 18132 27198 36264 54396 108792 252337 504674 629341 757011 1009348 1258682 1514022 1888023 2018696 2271033 2517364 3028044 3776046 4542066 5034728 5664069 6056088 7552092 9084132 11328138 15104184 18168264 22656276 45312552 105099947 210199894 315299841 420399788 630599682 840799576 945899523 950934251 1261199364 1891799046 1901868502 2522398728 2852802753 3783598092 3803737004 5705605506 7567196184 7607474008 8558408259 11411211012 17116816518 22822422024 34233633036 68467266072 158806019917 317612039834 476418059751 635224079668 952836119502 1270448159336 1429254179253 1905672239004 2858508358506 3811344478008 5717016717012 11434033434024