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141033252201345 = 365741134816203
BaseRepresentation
bin100000000100010011011100…
…111001100010001110000001
3200111100122110211112211000000
4200010103130321202032001
5121441142100030420340
61215541440455350213
741464213315060410
oct4004233471421601
9614318424484000
10141033252201345
1140a34959158179
1213999232982369
1360904bca8920a
1426b808da75477
1511488ea13bd30
hex8044dce62381

141033252201345 has 112 divisors (see below), whose sum is σ = 297065887719552. Its totient is φ = 62899847205120.

The previous prime is 141033252201251. The next prime is 141033252201367. The reversal of 141033252201345 is 543102252330141.

141033252201345 is a `hidden beast` number, since 1 + 4 + 10 + 33 + 252 + 20 + 1 + 345 = 666.

It is not a de Polignac number, because 141033252201345 - 212 = 141033252197249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66361987 + ... + 68454216.

It is an arithmetic number, because the mean of its divisors is an integer number (2652373997496).

Almost surely, 2141033252201345 is an apocalyptic number.

141033252201345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141033252201345 is an abundant number, since it is smaller than the sum of its proper divisors (156032635518207).

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

141033252201345 is an equidigital number, since it uses as much as digits as its factorization.

141033252201345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134816274 (or 134816259 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 141033252201345 in words is "one hundred forty-one trillion, thirty-three billion, two hundred fifty-two million, two hundred one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 81 105 123 135 189 205 243 287 315 369 405 567 615 729 861 945 1107 1215 1435 1701 1845 2583 2835 3321 3645 4305 5103 5535 7749 8505 9963 12915 16605 23247 25515 29889 38745 49815 69741 116235 149445 209223 348705 1046115 134816203 404448609 674081015 943713421 1213345827 2022243045 2831140263 3640037481 4718567105 5527464323 6066729135 8493420789 10920112443 14155701315 16582392969 18200187405 25480262367 27637321615 32760337329 38692250261 42467103945 49747178907 54600562215 76440787101 82911964845 98281011987 116076750783 127401311835 149241536721 163801686645 193461251305 229322361303 248735894535 348230252349 382203935505 447724610163 491405059935 580383753915 687967083909 746207683605 1044690757047 1146611806515 1343173830489 1741151261745 2238623050815 3134072271141 3439835419545 4029521491467 5223453785235 6715869152445 9402216813423 15670361355705 20147607457335 28206650440269 47011084067115 141033252201345