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140082388264 = 237137122711939
BaseRepresentation
bin1000001001110110001…
…1111001110100101000
3111101120120201122012101
42002131203321310220
54243342042411024
6144204123423144
713056241440220
oct2023543716450
9441516648171
10140082388264
1154454946715
1223195384ab4
131029597a450
146acc557080
15399d097c44
hex209d8f9d28

140082388264 has 128 divisors (see below), whose sum is σ = 329291827200. Its totient is φ = 54391438080.

The previous prime is 140082388231. The next prime is 140082388267. The reversal of 140082388264 is 462883280041.

It is not an unprimeable number, because it can be changed into a prime (140082388267) 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, 11727207 + ... + 11739145.

It is an arithmetic number, because the mean of its divisors is an integer number (2572592400).

Almost surely, 2140082388264 is an apocalyptic number.

140082388264 is a gapful number since it is divisible by the number (14) 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 140082388264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164645913600).

140082388264 is an abundant number, since it is smaller than the sum of its proper divisors (189209438936).

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

140082388264 is a wasteful number, since it uses less digits than its factorization.

140082388264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 140082388264 in words is "one hundred forty billion, eighty-two million, three hundred eighty-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 91 104 142 182 227 284 364 454 497 568 728 908 923 994 1589 1816 1846 1988 2951 3178 3692 3976 5902 6356 6461 7384 11804 11939 12712 12922 16117 20657 23608 23878 25844 32234 41314 47756 51688 64468 82628 83573 95512 112819 128936 155207 165256 167146 209521 225638 310414 334292 419042 451276 620828 668584 838084 847669 902552 1086449 1241656 1466647 1676168 1695338 2172898 2710153 2933294 3390676 4345796 5420306 5866588 5933683 6781352 8691592 10840612 11019697 11733176 11867366 18971071 21681224 22039394 23734732 35231989 37942142 44078788 47469464 70463978 75884284 77137879 88157576 140927956 151768568 154275758 192420863 246623923 281855912 308551516 384841726 493247846 617103032 769683452 986495692 1346946041 1539366904 1972991384 2501471219 2693892082 5002942438 5387784164 10005884876 10775568328 17510298533 20011769752 35020597066 70041194132 140082388264