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34144241123320 = 23517192642743121
BaseRepresentation
bin1111100001101110100110…
…10111001111111111111000
311110220011020212111201121221
413300313103113033333320
513433404401211421240
6200341351533041424
710122561060616546
oct760672327177770
9143804225451557
1034144241123320
11a974544a80559
1239b5471326274
131608a326735a3
148608392b6d96
153e3283ea9a4a
hex1f0dd35cfff8

34144241123320 has 64 divisors (see below), whose sum is σ = 85624877152800. Its totient is φ = 12177760296960.

The previous prime is 34144241123297. The next prime is 34144241123329. The reversal of 34144241123320 is 2332114244143.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144241123329) 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, 1321358641 + ... + 1321384480.

Almost surely, 234144241123320 is an apocalyptic number.

It is an amenable number.

34144241123320 is an abundant number, since it is smaller than the sum of its proper divisors (51480636029480).

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

34144241123320 is a wasteful number, since it uses less digits than its factorization.

34144241123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642743168 (or 2642743164 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34144241123320 its reverse (2332114244143), we get a palindrome (36476355367463).

The spelling of 34144241123320 in words is "thirty-four trillion, one hundred forty-four billion, two hundred forty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 2642743121 5285486242 10570972484 13213715605 21141944968 26427431210 44926633057 50212119299 52854862420 89853266114 100424238598 105709724840 179706532228 200848477196 224633165285 251060596495 359413064456 401696954392 449266330570 502121192990 853606028083 898532661140 1004242385980 1707212056166 1797065322280 2008484771960 3414424112332 4268030140415 6828848224664 8536060280830 17072120561660 34144241123320