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2142601146434 = 2731431031497481
BaseRepresentation
bin11111001011011100111…
…110101111000001000010
321120211102120001122211002
4133023130332233001002
5240101021343141214
64320144122252002
7310540440151460
oct37133476570102
97524376048732
102142601146434
11756743542821
122a7300957002
1312707acab068
14759b973b830
153ab022591de
hex1f2dcfaf042

2142601146434 has 128 divisors (see below), whose sum is σ = 3944175206400. Its totient is φ = 853660684800.

The previous prime is 2142601146373. The next prime is 2142601146479. The reversal of 2142601146434 is 4346411062412.

It is a super-2 number, since 2×21426011464342 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286401974 + ... + 286409454.

It is an arithmetic number, because the mean of its divisors is an integer number (30813868800).

Almost surely, 22142601146434 is an apocalyptic number.

2142601146434 is a deficient number, since it is larger than the sum of its proper divisors (1801574059966).

2142601146434 is a wasteful number, since it uses less digits than its factorization.

2142601146434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816.

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 2142601146434 in words is "two trillion, one hundred forty-two billion, six hundred one million, one hundred forty-six thousand, four hundred thirty-four".

Divisors: 1 2 7 14 31 43 62 86 103 149 206 217 298 301 434 602 721 1043 1333 1442 2086 2666 3193 4429 4619 6386 6407 7481 8858 9238 9331 12814 14962 15347 18662 22351 30694 31003 32333 44702 44849 52367 62006 64666 89698 104734 107429 137299 198617 214858 231911 274598 321683 397234 463822 475757 643366 659921 770543 951514 961093 1114669 1319842 1390319 1541086 1623377 1922186 2229338 2251781 2780638 3246754 3330299 4503562 4619447 5393801 6660598 7802683 9238894 9972173 10787602 15605366 19944346 20457551 23886833 33133349 34554739 40915102 47773666 47930767 66266698 69109478 69805211 95861534 114810907 139610422 143202857 167207831 229621814 231933443 241883173 286405714 334415662 335515369 463866886 483766346 671030738 803676349 1027133819 1485853777 1607352698 2054267638 2971707554 3559138117 4936869001 7118276234 7189936733 9873738002 10400976439 14379873466 20801952878 24913966819 34558083007 49827933638 69116166014 153042939031 306085878062 1071300573217 2142601146434