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19413404871144 = 23341173647176261
BaseRepresentation
bin1000110101000000010010…
…00110011110100111101000
32112201220101120020110102120
410122200021012132213220
510021032123121334034
6105142221200431240
74042400161501554
oct432401106364750
975656346213376
1019413404871144
1162051a6a41649
122216546018520
13aaa8a3883a5b
144b1884414864
15239ec1c91c49
hex11a80919e9e8

19413404871144 has 128 divisors (see below), whose sum is σ = 50082210420480. Its totient is φ = 6267072358400.

The previous prime is 19413404871139. The next prime is 19413404871229. The reversal of 19413404871144 is 44117840431491.

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, 110051974 + ... + 110228234.

It is an arithmetic number, because the mean of its divisors is an integer number (391267268910).

Almost surely, 219413404871144 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 19413404871144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041105210240).

19413404871144 is an abundant number, since it is smaller than the sum of its proper divisors (30668805549336).

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

19413404871144 is a wasteful number, since it uses less digits than its factorization.

19413404871144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177131 (or 177127 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 19413404871144 in words is "nineteen trillion, four hundred thirteen billion, four hundred four million, eight hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 173 246 328 346 492 519 647 692 984 1038 1294 1384 1941 2076 2588 3882 4152 5176 7093 7764 14186 15528 21279 26527 28372 42558 53054 56744 79581 85116 106108 111931 159162 170232 176261 212216 223862 318324 335793 352522 447724 528783 636648 671586 705044 895448 1057566 1343172 1410088 2115132 2686344 4230264 4589171 7226701 9178342 13767513 14453402 18356684 21680103 27535026 28906804 30493153 36713368 43360206 55070052 57813608 60986306 86720412 91479459 110140104 114040867 121972612 173440824 182958918 228081734 243945224 342122601 365917836 456163468 684245202 731835672 912326936 1250219273 1368490404 2500438546 2736980808 3750657819 4675675547 5000877092 7501315638 9351351094 10001754184 14027026641 15002631276 18702702188 19729069991 28054053282 30005262552 37405404376 39458139982 56108106564 59187209973 78916279964 112216213128 118374419946 157832559928 236748839892 473497679784 808891869631 1617783739262 2426675608893 3235567478524 4853351217786 6471134957048 9706702435572 19413404871144