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140443145515332 = 2232111733733549163
BaseRepresentation
bin11111111011101101110111…
…110011001011000101000100
3200102021020022021201011221100
4133323231313303023011010
5121402010030222442312
61214410405041220100
741403453033024402
oct3773556763130504
9612236267634840
10140443145515332
1140827670330930
12139029a5331630
1360499689a436a
1426976ad702472
1511383adb065dc
hex7fbb77ccb144

140443145515332 has 144 divisors (see below), whose sum is σ = 389626296067008. Its totient is φ = 42301114133760.

The previous prime is 140443145515331. The next prime is 140443145515417. The reversal of 140443145515332 is 233515541344041.

140443145515332 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 3 + 14 + 551 + 53 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (140443145515331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255465783 + ... + 256014945.

It is an arithmetic number, because the mean of its divisors is an integer number (2705738167132).

Almost surely, 2140443145515332 is an apocalyptic number.

140443145515332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140443145515332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194813148033504).

140443145515332 is an abundant number, since it is smaller than the sum of its proper divisors (249183150551676).

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

140443145515332 is a wasteful number, since it uses less digits than its factorization.

140443145515332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553090 (or 553085 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 140443145515332 its reverse (233515541344041), we get a palindrome (373958686859373).

The spelling of 140443145515332 in words is "one hundred forty trillion, four hundred forty-three billion, one hundred forty-five million, five hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 346 396 519 692 1038 1557 1903 2076 3114 3733 3806 5709 6228 7466 7612 11199 11418 14932 17127 22398 22836 33597 34254 41063 44796 67194 68508 82126 123189 134388 164252 246378 369567 492756 549163 645809 739134 1098326 1291618 1478268 1647489 1937427 2196652 2583236 3294978 3874854 4942467 5812281 6040793 6589956 7103899 7749708 9884934 11624562 12081586 14207798 18122379 19769868 21311697 23249124 24163172 28415596 36244758 42623394 54367137 63935091 72489516 85246788 95005199 108734274 127870182 190010398 217468548 255740364 285015597 380020796 570031194 855046791 1045057189 1140062388 1710093582 2050025479 2090114378 3135171567 3420187164 4100050958 4180228756 6150076437 6270343134 8200101916 9405514701 12300152874 12540686268 18450229311 18811029402 22550280269 24600305748 36900458622 37622058804 45100560538 67650840807 73800917244 90201121076 135301681614 202952522421 270603363228 354654407867 405905044842 709308815734 811810089684 1063963223601 1418617631468 2127926447202 3191889670803 3901198486537 4255852894404 6383779341606 7802396973074 11703595459611 12767558683212 15604793946148 23407190919222 35110786378833 46814381838444 70221572757666 140443145515332