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140012000014040 = 235711231976453981
BaseRepresentation
bin11111110101011100010101…
…100001100110111011011000
3200100202000110000101102012122
4133311130111201212323120
5121322424034000422130
61213440342545000412
741330350611521540
oct3765342541467330
9610660400342178
10140012000014040
11406808349a2420
121385331b623108
1360180c887b71b
14268088cd10320
15112c077c612e5
hex7f5715866ed8

140012000014040 has 128 divisors (see below), whose sum is σ = 409837497707520. Its totient is φ = 41742708057600.

The previous prime is 140012000014009. The next prime is 140012000014049. The reversal of 140012000014040 is 40410000210041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140012000014049) 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, 988156151 + ... + 988297830.

It is an arithmetic number, because the mean of its divisors is an integer number (3201855450840).

Almost surely, 2140012000014040 is an apocalyptic number.

140012000014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012000014040 is an abundant number, since it is smaller than the sum of its proper divisors (269825497693480).

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

140012000014040 is a wasteful number, since it uses less digits than its factorization.

140012000014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976454033 (or 1976454029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 140012000014040 its reverse (40410000210041), we get a palindrome (180422000224081).

The spelling of 140012000014040 in words is "one hundred forty trillion, twelve billion, fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3542 5060 6440 7084 8855 10120 14168 17710 35420 70840 1976453981 3952907962 7905815924 9882269905 13835177867 15811631848 19764539810 21740993791 27670355734 39529079620 43481987582 45458441563 55340711468 69175889335 79058159240 86963975164 90916883126 108704968955 110681422936 138351778670 152186956537 173927950328 181833766252 217409937910 227292207815 276703557340 304373913074 318209090941 363667532504 434819875820 454584415630 500042857193 553407114680 608747826148 636418181882 760934782685 869639751640 909168831260 1000085714386 1217495652296 1272836363764 1521869565370 1591045454705 1818337662520 2000171428772 2500214285965 2545672727528 3043739130740 3182090909410 3500300000351 4000342857544 5000428571930 6087478261480 6364181818820 7000600000702 10000857143860 12728363637640 14001200001404 17501500001755 20001714287720 28002400002808 35003000003510 70006000007020 140012000014040