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142619326814832 = 24374199413107621
BaseRepresentation
bin100000011011011000100110…
…010100000001101001110000
3200200222021102002202100212020
4200123120212110001221300
5122143133340131033312
61223154225251031440
742016622604616110
oct4033304624015160
9620867362670766
10142619326814832
11414965759aa66a
1213bb46b7b9b580
136176c38998a7a
142730b52b4d040
151174cc8e2a78c
hex81b626501a70

142619326814832 has 160 divisors (see below), whose sum is σ = 422120277573120. Its totient is φ = 40646431288320.

The previous prime is 142619326814827. The next prime is 142619326814849. The reversal of 142619326814832 is 238418623916241.

It is a super-2 number, since 2×1426193268148322 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1325145982 + ... + 1325253602.

It is an arithmetic number, because the mean of its divisors is an integer number (2638251734832).

Almost surely, 2142619326814832 is an apocalyptic number.

142619326814832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142619326814832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211060138786560).

142619326814832 is an abundant number, since it is smaller than the sum of its proper divisors (279500950758288).

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

142619326814832 is a wasteful number, since it uses less digits than its factorization.

142619326814832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117471 (or 117465 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 60.

The spelling of 142619326814832 in words is "one hundred forty-two trillion, six hundred nineteen billion, three hundred twenty-six million, eight hundred fourteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 419 838 1257 1676 2514 2933 3352 5028 5866 6704 8799 9413 10056 11732 17598 18826 20112 23464 28239 35196 37652 46928 56478 65891 70392 75304 107621 112956 131782 140784 150608 197673 215242 225912 263564 322863 395346 430484 451824 527128 645726 753347 790692 860968 1054256 1291452 1506694 1581384 1721936 2260041 2582904 3013388 3162768 3944047 4520082 5165808 6026776 7888094 9040164 11832141 12053552 15776188 18080328 23664282 27608329 31552376 36160656 45093199 47328564 55216658 63104752 82824987 90186398 94657128 110433316 135279597 165649974 180372796 189314256 220866632 270559194 315652393 331299948 360745592 441733264 541118388 631304786 662599896 721491184 946957179 1013036473 1082236776 1262609572 1325199792 1893914358 2026072946 2164473552 2525219144 3039109419 3787828716 4052145892 5050438288 6078218838 7091255311 7575657432 8104291784 12156437676 14182510622 15151314864 16208583568 21273765933 24312875352 28365021244 42547531866 48625750704 56730042488 85095063732 113460084976 170190127464 340380254928 424462282187 848924564374 1273386846561 1697849128748 2546773693122 2971235975309 3395698257496 5093547386244 5942471950618 6791396514992 8913707925927 10187094772488 11884943901236 17827415851854 20374189544976 23769887802472 35654831703708 47539775604944 71309663407416 142619326814832