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145094800392 = 233731267517
BaseRepresentation
bin1000011100100001010…
…0101111010000001000
3111212111220110120000000
42013020110233100020
54334123232103032
6150353341043000
713324404311523
oct2071024572010
9455456416000
10145094800392
1156597261083
1224153b56460
13108b4263799
147046129bba
153b93151e7c
hex21c852f408

145094800392 has 128 divisors (see below), whose sum is σ = 421180339200. Its totient is φ = 46804599360.

The previous prime is 145094800373. The next prime is 145094800393. The reversal of 145094800392 is 293008490541.

145094800392 is a `hidden beast` number, since 1 + 450 + 94 + 80 + 0 + 39 + 2 = 666.

It is a super-2 number, since 2×1450948003922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145094800393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408618 + ... + 676134.

It is an arithmetic number, because the mean of its divisors is an integer number (3290471400).

Almost surely, 2145094800392 is an apocalyptic number.

145094800392 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 145094800392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210590169600).

145094800392 is an abundant number, since it is smaller than the sum of its proper divisors (276085538808).

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

145094800392 is an equidigital number, since it uses as much as digits as its factorization.

145094800392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267575 (or 267553 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 145094800392 in words is "one hundred forty-five billion, ninety-four million, eight hundred thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 729 744 837 972 1116 1458 1674 1944 2187 2232 2511 2916 3348 4374 5022 5832 6696 7533 8748 10044 15066 17496 20088 22599 30132 45198 60264 67797 90396 135594 180792 267517 271188 535034 542376 802551 1070068 1605102 2140136 2407653 3210204 4815306 6420408 7222959 8293027 9630612 14445918 16586054 19261224 21668877 24879081 28891836 33172108 43337754 49758162 57783672 65006631 66344216 74637243 86675508 99516324 130013262 149274486 173351016 195019893 199032648 223911729 260026524 298548972 390039786 447823458 520053048 585059679 597097944 671735187 780079572 895646916 1170119358 1343470374 1560159144 1791293832 2015205561 2340238716 2686940748 4030411122 4680477432 5373881496 6045616683 8060822244 12091233366 16121644488 18136850049 24182466732 36273700098 48364933464 72547400196 145094800392