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142468456687392 = 25311231975815981
BaseRepresentation
bin100000011001001100000101…
…110000001010011100100000
3200200102211222200222210112110
4200121030011300022130200
5122133200344402444032
61223001034440355320
742003002111654133
oct4031140560123440
9620384880883473
10142468456687392
1141438595722930
1213b8b411a75b40
136165944081c04
14272771d9ba21a
151170de8c707cc
hex819305c0a720

142468456687392 has 96 divisors (see below), whose sum is σ = 407995510918464. Its totient is φ = 43170391065600.

The previous prime is 142468456687363. The next prime is 142468456687441. The reversal of 142468456687392 is 293786654864241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1424684566873922 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21588042 + ... + 27404022.

It is an arithmetic number, because the mean of its divisors is an integer number (4249953238734).

Almost surely, 2142468456687392 is an apocalyptic number.

142468456687392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142468456687392 is an abundant number, since it is smaller than the sum of its proper divisors (265527054231072).

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

142468456687392 is a wasteful number, since it uses less digits than its factorization.

142468456687392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839202 (or 5839194 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 75.

The spelling of 142468456687392 in words is "one hundred forty-two trillion, four hundred sixty-eight billion, four hundred fifty-six million, six hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 23197 46394 69591 92788 139182 185576 255167 278364 371152 510334 556728 742304 765501 1020668 1113456 1531002 2041336 2226912 3062004 4082672 5815981 6124008 8165344 11631962 12248016 17447943 23263924 24496032 34895886 46527848 63975791 69791772 93055696 127951582 139583544 186111392 191927373 255903164 279167088 383854746 511806328 558334176 767709492 1023612656 1535418984 2047225312 3070837968 6141675936 134913311257 269826622514 404739933771 539653245028 809479867542 1079306490056 1484046423827 1618959735084 2158612980112 2968092847654 3237919470168 4317225960224 4452139271481 5936185695308 6475838940336 8904278542962 11872371390616 12951677880672 17808557085924 23744742781232 35617114171848 47489485562464 71234228343696 142468456687392