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141123251344240 = 245111135872417683
BaseRepresentation
bin100000000101100111010001…
…010001000001001101110000
3200111200020210000210222101201
4200011213101101001031300
5121444130404321003430
61220051043205340544
741503550504134204
oct4005472121011560
9614606700728351
10141123251344240
1140a6a042343310
12139b276b407754
136098b3366b319
1426bc58a7ccb04
15114ae163998ca
hex8059d1441370

141123251344240 has 160 divisors (see below), whose sum is σ = 361722816758016. Its totient is φ = 50776737607680.

The previous prime is 141123251344133. The next prime is 141123251344241. The reversal of 141123251344240 is 42443152321141.

It is a self number, because there is not a number n which added to its sum of digits gives 141123251344240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141123251344241) 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 31 ways as a sum of consecutive naturals, for example, 57162439 + ... + 59580121.

Almost surely, 2141123251344240 is an apocalyptic number.

141123251344240 is a gapful number since it is divisible by the number (10) 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 141123251344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180861408379008).

141123251344240 is an abundant number, since it is smaller than the sum of its proper divisors (220599565413776).

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

141123251344240 is a wasteful number, since it uses less digits than its factorization.

141123251344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418407 (or 2418401 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 141123251344240 in words is "one hundred forty-one trillion, one hundred twenty-three billion, two hundred fifty-one million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 587 880 904 1130 1174 1243 1808 2260 2348 2486 2935 4520 4696 4972 5870 6215 6457 9040 9392 9944 11740 12430 12914 19888 23480 24860 25828 32285 46960 49720 51656 64570 66331 99440 103312 129140 132662 258280 265324 331655 516560 530648 663310 729641 1061296 1326620 1459282 2417683 2653240 2918564 3648205 4835366 5306480 5837128 7296410 9670732 11674256 12088415 14592820 19341464 24176830 26594513 29185640 38682928 48353660 53189026 58371280 96707320 106378052 132972565 193414640 212756104 265945130 273198179 425512208 531890260 546396358 1063780520 1092792716 1365990895 1419179921 2127561040 2185585432 2731981790 2838359842 3005179969 4371170864 5463963580 5676719684 6010359938 7095899605 10927927160 11353439368 12020719876 14191799210 15025899845 15610979131 21855854320 22706878736 24041439752 28383598420 30051799690 31221958262 48082879504 56767196840 60103599380 62443916524 78054895655 113534393680 120207198760 124887833048 156109791310 160367331073 240414397520 249775666096 312219582620 320734662146 624439165240 641469324292 801836655365 1248878330480 1282938648584 1603673310730 1764040641803 2565877297168 3207346621460 3528081283606 6414693242920 7056162567212 8820203209015 12829386485840 14112325134424 17640406418030 28224650268848 35280812836060 70561625672120 141123251344240