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140032401010020 = 223251171717792567
BaseRepresentation
bin11111110101101111010101…
…100001001110110101100100
3200100210222002210110101112100
4133311233111201032311210
5121323242324124310040
61213453555201052100
741332002303236121
oct3765572541166544
9610728083411470
10140032401010020
1140689453807682
1213857273927030
136019cca35608c
142681866579748
15112c86dcdab30
hex7f5bd584ed64

140032401010020 has 144 divisors (see below), whose sum is σ = 425191514686848. Its totient is φ = 37304483074560.

The previous prime is 140032401010001. The next prime is 140032401010037. The reversal of 140032401010020 is 20010104230041.

140032401010020 is a `hidden beast` number, since 1 + 400 + 3 + 240 + 1 + 0 + 1 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×1400324010100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140032401009975 and 140032401010002.

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, 1512721777 + ... + 1512814343.

It is an arithmetic number, because the mean of its divisors is an integer number (2952718851992).

Almost surely, 2140032401010020 is an apocalyptic number.

140032401010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140032401010020 is an abundant number, since it is smaller than the sum of its proper divisors (285159113676828).

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

140032401010020 is a wasteful number, since it uses less digits than its factorization.

140032401010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100930 (or 100925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 140032401010020 its reverse (20010104230041), we get a palindrome (160042505240061).

The spelling of 140032401010020 in words is "one hundred forty trillion, thirty-two billion, four hundred one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1171 2342 3513 4684 5855 7026 7177 10539 11710 14052 14354 17565 21078 21531 23420 28708 35130 35885 42156 43062 52695 64593 70260 71770 86124 92567 105390 107655 129186 143540 185134 210780 215310 258372 277701 322965 370268 430620 462835 555402 645930 833103 925670 1110804 1291860 1388505 1666206 1851340 2777010 3332412 4165515 5554020 8331030 8404267 16662060 16808534 25212801 33617068 42021335 50425602 75638403 84042670 100851204 108395957 126064005 151276806 168085340 216791914 252128010 302553612 325187871 378192015 433583828 504256020 541979785 650375742 664353359 756384030 975563613 1083959570 1300751484 1328706718 1512768060 1625939355 1951127226 1993060077 2167919140 2657413436 3251878710 3321766795 3902254452 3986120154 4877818065 5979180231 6503757420 6643533590 7972240308 9755636130 9965300385 11958360462 13287067180 19511272260 19930600770 23916720924 29895901155 39861201540 59791802310 119583604620 777957783389 1555915566778 2333873350167 3111831133556 3889788916945 4667746700334 7001620050501 7779577833890 9335493400668 11669366750835 14003240101002 15559155667780 23338733501670 28006480202004 35008100252505 46677467003340 70016200505010 140032401010020