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140997141990 = 233519266310321
BaseRepresentation
bin1000001101010000010…
…1011010010111100110
3111110221022222221102000
42003110011122113212
54302230232020430
6144435002030130
713121016634545
oct2032405322746
9443838887360
10140997141990
1154884235731
12233ab7a8346
13103b033b343
146b77c3415c
153a0353ae60
hex20d415a5e6

140997141990 has 128 divisors (see below), whose sum is σ = 395968435200. Its totient is φ = 35603504640.

The previous prime is 140997141947. The next prime is 140997141997. The reversal of 140997141990 is 99141799041.

140997141990 is a `hidden beast` number, since 1 + 409 + 9 + 7 + 141 + 9 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140997141997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13656030 + ... + 13666350.

It is an arithmetic number, because the mean of its divisors is an integer number (3093503400).

Almost surely, 2140997141990 is an apocalyptic number.

140997141990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140997141990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197984217600).

140997141990 is an abundant number, since it is smaller than the sum of its proper divisors (254971293210).

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

140997141990 is a wasteful number, since it uses less digits than its factorization.

140997141990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13019 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 140997141990 in words is "one hundred forty billion, nine hundred ninety-seven million, one hundred forty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 2663 5130 5326 7989 10321 13315 15978 20642 23967 26630 30963 39945 47934 50597 51605 61926 71901 79890 92889 101194 103210 119835 143802 151791 154815 185778 196099 239670 252985 278667 303582 309630 359505 392198 455373 464445 505970 557334 588297 719010 758955 910746 928890 980495 1176594 1366119 1393335 1517910 1764891 1960990 2276865 2732238 2786670 2941485 3529782 4553730 5294673 5882970 6830595 8824455 10589346 13661190 17648910 26473365 27484823 52946730 54969646 82454469 137424115 164908938 247363407 274848230 412272345 494726814 522211637 742090221 824544690 1044423274 1236817035 1484180442 1566634911 2473634070 2611058185 3133269822 3710451105 4699904733 5222116370 7420902210 7833174555 9399809466 14099714199 15666349110 23499523665 28199428398 46999047330 70498570995 140997141990