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140404101434120 = 235167103325917853
BaseRepresentation
bin11111111011001001100000…
…100101110100101100001000
3200102010111112020101100111102
4133323021200211310230020
5121400340044431342440
61214340430451120532
741400601343561006
oct3773114045645410
9612114466340442
10140404101434120
1140812054a28817
12138b73095a3148
136046085996924
142695848089a76
151137375ee4b15
hex7fb260974b08

140404101434120 has 128 divisors (see below), whose sum is σ = 318271846717440. Its totient is φ = 55742677186560.

The previous prime is 140404101434117. The next prime is 140404101434167. The reversal of 140404101434120 is 21434101404041.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17879036114 + ... + 17879043966.

It is an arithmetic number, because the mean of its divisors is an integer number (2486498802480).

Almost surely, 2140404101434120 is an apocalyptic number.

140404101434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140404101434120 is an abundant number, since it is smaller than the sum of its proper divisors (177867745283320).

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

140404101434120 is a wasteful number, since it uses less digits than its factorization.

140404101434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11655 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 140404101434120 its reverse (21434101404041), we get a palindrome (161838202838161).

The spelling of 140404101434120 in words is "one hundred forty trillion, four hundred four billion, one hundred one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1033 1336 1670 2066 2591 3340 4132 5165 5182 6680 7853 8264 10330 10364 12955 15706 20660 20728 25910 31412 39265 41320 51820 62824 78530 103640 157060 172511 314120 345022 432697 690044 862555 865394 1311451 1380088 1725110 1730788 2163485 2622902 2676503 3450220 3461576 4326970 5245804 5353006 6557255 6900440 8112149 8653940 10491608 10706012 13114510 13382515 16224298 17307880 20347123 21412024 26229020 26765030 32448596 40560745 40694246 52458040 53530060 64897192 81121490 81388492 101735615 107060120 162242980 162776984 203471230 324485960 406942460 446976001 813884920 893952002 1354728883 1787904004 2234880005 2709457766 3397969541 3575808008 4469760010 5418915532 6773644415 6795939082 8939520020 10837831064 13547288830 13591878164 16989847705 17879040040 21018578059 27094577660 27183756328 33979695410 42037156118 54189155320 67959390820 84074312236 105092890295 135918781640 168148624472 210185780590 420371561180 840743122360 3510102535853 7020205071706 14040410143412 17550512679265 28080820286824 35101025358530 70202050717060 140404101434120