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5141154001344 = 263892819106727
BaseRepresentation
bin100101011010000010010…
…1010000111000111000000
3200012111012212021100101220
41022310010222013013000
51133213040411020334
614533451420355040
71040302405655634
oct112640452070700
920174185240356
105141154001344
111702395449a19
126b04820a5a80
132b3a68a6369a
1413ab9436cdc4
158daee8e4449
hex4ad04a871c0

5141154001344 has 112 divisors (see below), whose sum is σ = 13760483731200. Its totient is φ = 1693845784576.

The previous prime is 5141154001331. The next prime is 5141154001349. The reversal of 5141154001344 is 4431004511415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141154001349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48117709 + ... + 48224435.

Almost surely, 25141154001344 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 5141154001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880241865600).

5141154001344 is an abundant number, since it is smaller than the sum of its proper divisors (8619329729856).

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

5141154001344 is a wasteful number, since it uses less digits than its factorization.

5141154001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109650 (or 109640 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 5141154001344 its reverse (4431004511415), we get a palindrome (9572158512759).

The spelling of 5141154001344 in words is "five trillion, one hundred forty-one billion, one hundred fifty-four million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2819 2848 4272 5638 5696 8457 8544 11276 16914 17088 22552 33828 45104 67656 90208 106727 135312 180416 213454 250891 270624 320181 426908 501782 541248 640362 752673 853816 1003564 1280724 1505346 1707632 2007128 2561448 3010692 3415264 4014256 5122896 6021384 6830528 8028512 9498703 10245792 12042768 16057024 18997406 20491584 24085536 28496109 37994812 48171072 56992218 75989624 113984436 151979248 227968872 300863413 303958496 455937744 601726826 607916992 902590239 911875488 1203453652 1805180478 1823750976 2406907304 3610360956 4813814608 7220721912 9627629216 14441443824 19255258432 26776843757 28882887648 53553687514 57765775296 80330531271 107107375028 160661062542 214214750056 321322125084 428429500112 642644250168 856859000224 1285288500336 1713718000448 2570577000672 5141154001344