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2141544775326 = 231117323992753
BaseRepresentation
bin11111001010011110000…
…000111111111010011110
321120201200221022110002020
4133022132000333322132
5240041340430302301
64315451224441010
7310502322146355
oct37123600777236
97521627273066
102141544775326
11756251217550
122a7067019166
13126c401948b8
147591931899c
153aa8e640436
hex1f29e03fe9e

2141544775326 has 128 divisors (see below), whose sum is σ = 4968304128000. Its totient is φ = 610302894080.

The previous prime is 2141544775319. The next prime is 2141544775387. The reversal of 2141544775326 is 6235774451412.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777893566 + ... + 777896318.

It is an arithmetic number, because the mean of its divisors is an integer number (38814876000).

Almost surely, 22141544775326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141544775326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484152064000).

2141544775326 is an abundant number, since it is smaller than the sum of its proper divisors (2826759352674).

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

2141544775326 is a wasteful number, since it uses less digits than its factorization.

2141544775326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5185 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The spelling of 2141544775326 in words is "two trillion, one hundred forty-one billion, five hundred forty-four million, seven hundred seventy-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 561 578 867 1122 1734 2399 2753 3179 4798 4913 5506 6358 7197 8259 9537 9826 14394 14739 16518 19074 26389 29478 30283 40783 46801 52778 54043 60566 79167 81566 90849 93602 108086 122349 140403 158334 162129 181698 244698 280806 324258 448613 514811 693311 795617 897226 1029622 1345839 1386622 1544433 1591234 2079933 2386851 2691678 3088866 4159866 4773702 6604447 7626421 8751787 11786287 13208894 13525489 15252842 17503574 19813341 22879263 23572574 26255361 27050978 35358861 39626682 40576467 45758526 52510722 70717722 72648917 81152934 112275599 129649157 145297834 148780379 217946751 224551198 259298314 297560758 336826797 388947471 435893502 446341137 673653594 777894942 892682274 1235031589 1908685183 2470063178 3705094767 3817370366 5726055549 7410189534 11452111098 20995537013 32447648111 41991074026 62986611039 64895296222 97342944333 125973222078 194685888666 356924129221 713848258442 1070772387663 2141544775326