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140193603072 = 2932191601261
BaseRepresentation
bin1000001010010000110…
…0001001111000000000
3111101212022222221020100
42002210030021320000
54244104030244242
6144223135242400
713062061651515
oct2024414117000
9441768887210
10140193603072
11545016a7a86
1223206679400
13102b2a19723
146add22730c
1539a7c1554c
hex20a4309e00

140193603072 has 120 divisors (see below), whose sum is σ = 425903666760. Its totient is φ = 44271636480.

The previous prime is 140193603071. The next prime is 140193603107. The reversal of 140193603072 is 270306391041.

140193603072 is a `hidden beast` number, since 1 + 40 + 1 + 9 + 3 + 603 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140193603071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713079 + ... + 888182.

It is an arithmetic number, because the mean of its divisors is an integer number (3549197223).

Almost surely, 2140193603072 is an apocalyptic number.

140193603072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140193603072 is an abundant number, since it is smaller than the sum of its proper divisors (285710063688).

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

140193603072 is a wasteful number, since it uses less digits than its factorization.

140193603072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601304 (or 1601285 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 140193603072 in words is "one hundred forty billion, one hundred ninety-three million, six hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 87552 1601261 3202522 4803783 6405044 9607566 12810088 14411349 19215132 25620176 28822698 30423959 38430264 51240352 57645396 60847918 76860528 91271877 102480704 115290792 121695836 153721056 182543754 204961408 230581584 243391672 273815631 307442112 365087508 409922816 461163168 486783344 547631262 614884224 730175016 819845632 922326336 973566688 1095262524 1229768448 1460350032 1844652672 1947133376 2190525048 2459536896 2920700064 3689305344 3894266752 4381050096 5841400128 7378610688 7788533504 8762100192 11682800256 15577067008 17524200384 23365600512 35048400768 46731201024 70096801536 140193603072