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34130143410 = 23511534874007
BaseRepresentation
bin11111110010010100…
…001010100010110010
310021002120212221000120
4133302110022202302
51024344304042120
623402411231110
72315530301166
oct376224124262
9107076787016
1034130143410
11135246379a0
126746148496
1332abc5263c
14191ab98ca6
15d4b50a140
hex7f250a8b2

34130143410 has 128 divisors (see below), whose sum is σ = 91254657024. Its totient is φ = 8099170560.

The previous prime is 34130143409. The next prime is 34130143427. The reversal of 34130143410 is 1434103143.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 8515627 + ... + 8519633.

It is an arithmetic number, because the mean of its divisors is an integer number (712927008).

Almost surely, 234130143410 is an apocalyptic number.

34130143410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130143410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45627328512).

34130143410 is an abundant number, since it is smaller than the sum of its proper divisors (57124513614).

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

34130143410 is a wasteful number, since it uses less digits than its factorization.

34130143410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34130143410 its reverse (1434103143), we get a palindrome (35564246553).

The spelling of 34130143410 in words is "thirty-four billion, one hundred thirty million, one hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 487 530 583 795 974 1166 1461 1590 1749 2435 2915 2922 3498 4007 4870 5357 5830 7305 8014 8745 10714 12021 14610 16071 17490 20035 24042 25811 26785 32142 40070 44077 51622 53570 60105 77433 80355 88154 120210 129055 132231 154866 160710 212371 220385 258110 264462 283921 387165 424742 440770 567842 637113 661155 774330 851763 1061855 1274226 1322310 1419605 1703526 1951409 2123710 2336081 2839210 3185565 3902818 4258815 4672162 5854227 6371130 7008243 8517630 9757045 11680405 11708454 14016486 19514090 21465499 23360810 29271135 35041215 42930998 58542270 64396497 70082430 103424677 107327495 128792994 206849354 214654990 310274031 321982485 517123385 620548062 643964970 1034246770 1137671447 1551370155 2275342894 3102740310 3413014341 5688357235 6826028682 11376714470 17065071705 34130143410