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10133001142440 = 23351135591215687
BaseRepresentation
bin1001001101110100010111…
…1011110000000010101000
31022212201001021100022220220
42103131011323300002220
52312004341243024230
633315011513050040
72064041133403131
oct223350573600250
938781037308826
1010133001142440
113257421a83960
121177a156b6920
135866cba24587
1427062301ac88
151288b14c3d10
hex93745ef00a8

10133001142440 has 128 divisors (see below), whose sum is σ = 33163634718720. Its totient is φ = 2456404716800.

The previous prime is 10133001142423. The next prime is 10133001142463. The reversal of 10133001142440 is 4424110033101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10133001142440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46872277 + ... + 47087963.

It is an arithmetic number, because the mean of its divisors is an integer number (259090896240).

Almost surely, 210133001142440 is an apocalyptic number.

10133001142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133001142440 is an abundant number, since it is smaller than the sum of its proper divisors (23030633576280).

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

10133001142440 is a wasteful number, since it uses less digits than its factorization.

10133001142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251303 (or 251299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10133001142440 its reverse (4424110033101), we get a palindrome (14557111175541).

The spelling of 10133001142440 in words is "ten trillion, one hundred thirty-three billion, one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 35591 71182 106773 142364 177955 213546 215687 284728 355910 391501 427092 431374 533865 647061 711820 783002 854184 862748 1067730 1078435 1174503 1294122 1423640 1566004 1725496 1957505 2135460 2156870 2349006 2372557 2588244 3132008 3235305 3915010 4270920 4313740 4698012 4745114 5176488 5872515 6470610 7117671 7830020 8627480 9396024 9490228 11745030 11862785 12941220 14235342 15660040 18980456 23490060 23725570 25882440 28470684 35588355 46980120 47451140 56941368 71176710 94902280 142353420 284706840 7676516017 15353032034 23029548051 30706064068 38382580085 46059096102 61412128136 76765160170 84441676187 92118192204 115147740255 153530320340 168883352374 184236384408 230295480510 253325028561 307060640680 337766704748 422208380935 460590961020 506650057122 675533409496 844416761870 921181922040 1013300114244 1266625142805 1688833523740 2026600228488 2533250285610 3377667047480 5066500571220 10133001142440