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15142321350 = 23252134755073
BaseRepresentation
bin11100001101000110…
…10111110011000110
31110002021221121212200
432012203113303012
5222002413240400
610542320255330
71044145415322
oct160643276306
943067847780
1015142321350
11647049a172
122b27171546
131574189b80
14a390b0982
155d9578b00
hex3868d7cc6

15142321350 has 144 divisors (see below), whose sum is σ = 44744761152. Its totient is φ = 3647969280.

The previous prime is 15142321343. The next prime is 15142321393. The reversal of 15142321350 is 5312324151.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 247414 + ... + 302486.

It is an arithmetic number, because the mean of its divisors is an integer number (310727508).

Almost surely, 215142321350 is an apocalyptic number.

15142321350 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 15142321350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372380576).

15142321350 is an abundant number, since it is smaller than the sum of its proper divisors (29602439802).

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

15142321350 is a wasteful number, since it uses less digits than its factorization.

15142321350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55151 (or 55143 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 15142321350 in words is "fifteen billion, one hundred forty-two million, three hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 47 50 65 75 78 90 94 117 130 141 150 195 225 234 235 282 325 390 423 450 470 585 611 650 705 846 975 1170 1175 1222 1410 1833 1950 2115 2350 2925 3055 3525 3666 4230 5499 5850 6110 7050 9165 10575 10998 15275 18330 21150 27495 30550 45825 54990 55073 91650 110146 137475 165219 274950 275365 330438 495657 550730 715949 826095 991314 1376825 1431898 1652190 2147847 2478285 2588431 2753650 3579745 4130475 4295694 4956570 5176862 6443541 7159490 7765293 8260950 10739235 12391425 12887082 12942155 15530586 17898725 21478470 23295879 24782850 25884310 32217705 33649603 35797450 38826465 46591758 53696175 64435410 64710775 67299206 77652930 100948809 107392350 116479395 129421550 161088525 168248015 194132325 201897618 232958790 302846427 322177050 336496030 388264650 504744045 582396975 605692854 841240075 1009488090 1164793950 1514232135 1682480150 2523720225 3028464270 5047440450 7571160675 15142321350