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140111011440 = 24335193414011
BaseRepresentation
bin1000001001111101000…
…1000101111001110000
3111101122120120211211000
42002133101011321300
54243421404331230
6144211025122000
713060036642551
oct2023721057160
9441576524730
10140111011440
115446a016734
12231a2a89300
131029b88c83a
146ad2288328
1539a084db60
hex209f445e70

140111011440 has 160 divisors (see below), whose sum is σ = 508004985600. Its totient is φ = 35396455680.

The previous prime is 140111011433. The next prime is 140111011477. The reversal of 140111011440 is 44110111041.

140111011440 is a `hidden beast` number, since 1 + 401 + 110 + 114 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665966 + ... + 1748045.

It is an arithmetic number, because the mean of its divisors is an integer number (3175031160).

Almost surely, 2140111011440 is an apocalyptic number.

140111011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140111011440 is an abundant number, since it is smaller than the sum of its proper divisors (367893974160).

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

140111011440 is a wasteful number, since it uses less digits than its factorization.

140111011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414052 (or 3414040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 140111011440 its reverse (44110111041), we get a palindrome (184221122481).

The spelling of 140111011440 in words is "one hundred forty billion, one hundred eleven million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 3414011 6828022 10242033 13656044 17070055 20484066 27312088 30726099 34140110 40968132 51210165 54624176 61452198 64866209 68280220 81936264 92178297 102420330 122904396 129732418 136560440 153630495 163872528 184356594 194598627 204840660 245808792 259464836 273120880 307260990 324331045 368713188 389197254 409681320 460891485 491617584 518929672 583795881 614521980 648662090 737426376 778394508 819362640 921782970 972993135 1037859344 1167591762 1229043960 1297324180 1474852752 1556789016 1751387643 1843565940 1945986270 2335183524 2458087920 2594648360 2918979405 3113578032 3502775286 3687131880 3891972540 4670367048 5189296720 5837958810 7005550572 7374263760 7783945080 8756938215 9340734096 11675917620 14011101144 15567890160 17513876430 23351835240 28022202288 35027752860 46703670480 70055505720 140111011440