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140241236364 = 2232172233832683
BaseRepresentation
bin1000001010011100000…
…1110111000110001100
3111101222122121221211100
42002213001313012030
54244203224030424
6144232000223100
713063210561215
oct2024701670614
9441878557740
10140241236364
1154526581639
122321a60aa90
13102bc8567c8
146b056a640c
1539abec3dc9
hex20a707718c

140241236364 has 144 divisors (see below), whose sum is σ = 378160054272. Its totient is φ = 43669310976.

The previous prime is 140241236309. The next prime is 140241236407. The reversal of 140241236364 is 463632142041.

140241236364 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 4 + 12 + 3 + 636 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52268967 + ... + 52271649.

It is an arithmetic number, because the mean of its divisors is an integer number (2626111488).

Almost surely, 2140241236364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140241236364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189080027136).

140241236364 is an abundant number, since it is smaller than the sum of its proper divisors (237918817908).

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

140241236364 is a wasteful number, since it uses less digits than its factorization.

140241236364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 140241236364 in words is "one hundred forty billion, two hundred forty-one million, two hundred thirty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 223 306 383 446 612 669 766 892 1149 1338 1532 2007 2298 2676 2683 3447 3791 4014 4596 5366 6511 6894 7582 8028 8049 10732 11373 13022 13788 15164 16098 19533 22746 24147 26044 32196 34119 39066 45492 45611 48294 58599 68238 78132 85409 91222 96588 117198 136476 136833 170818 182444 234396 256227 273666 341636 410499 512454 547332 598309 768681 820998 1024908 1027589 1196618 1451953 1537362 1641996 1794927 2055178 2393236 2903906 3074724 3082767 3589854 4110356 4355859 5384781 5807812 6165534 7179708 8711718 9248301 10171253 10769562 12331068 13067577 17423436 17469013 18496602 20342506 21539124 26135154 30513759 34938026 36993204 40685012 52270308 52407039 61027518 69876052 91541277 104814078 122055036 157221117 183082554 209628156 229152347 314442234 366165108 458304694 628884468 687457041 916609388 1374914082 2062371123 2749828164 3895589899 4124742246 7791179798 8249484492 11686769697 15582359596 23373539394 35060309091 46747078788 70120618182 140241236364