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141292940152 = 237134110134673
BaseRepresentation
bin1000001110010110110…
…1110010101101111000
3111111200221121001012111
42003211231302231320
54303331443041102
6144524210022104
713131241114060
oct2034555625570
9444627531174
10141292940152
1154a161aa221
1223472877934
13104296c7740
146ba52323a0
153a1e4b9cd7
hex20e5b72b78

141292940152 has 128 divisors (see below), whose sum is σ = 334414604160. Its totient is φ = 54467297280.

The previous prime is 141292940141. The next prime is 141292940197. The reversal of 141292940152 is 251049292141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30233688 + ... + 30238360.

It is an arithmetic number, because the mean of its divisors is an integer number (2612614095).

Almost surely, 2141292940152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141292940152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167207302080).

141292940152 is an abundant number, since it is smaller than the sum of its proper divisors (193121664008).

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

141292940152 is a wasteful number, since it uses less digits than its factorization.

141292940152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 141292940152 in words is "one hundred forty-one billion, two hundred ninety-two million, nine hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 364 533 574 728 1013 1066 1148 2026 2132 2296 3731 4052 4264 4673 7091 7462 8104 9346 13169 14182 14924 18692 26338 28364 29848 32711 37384 41533 52676 56728 60749 65422 83066 92183 105352 121498 130844 166132 184366 191593 242996 261688 290731 332264 368732 383186 425243 485992 539929 581462 737464 766372 850486 1079858 1162924 1341151 1532744 1700972 2159716 2325848 2490709 2682302 3401944 3779503 4319432 4733749 4981418 5364604 7559006 9467498 9962836 10729208 15118012 17434963 18934996 19925672 30236024 33136243 34869926 37869992 61538737 66272486 69739852 123077474 132544972 139479704 194083709 246154948 265089944 388167418 430771159 492309896 776334836 861542318 1358585963 1552669672 1723084636 2523088217 2717171926 3446169272 5046176434 5434343852 10092352868 10868687704 17661617519 20184705736 35323235038 70646470076 141292940152