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141102864 = 24337291609
BaseRepresentation
bin10000110100100…
…00111100010000
3100211111202202000
420122100330100
5242110242424
622000154000
73332232420
oct1032207420
9324452660
10141102864
1172715741
123b308900
1323305326
1414a50480
15c5c33c9
hex8690f10

141102864 has 160 divisors (see below), whose sum is σ = 479136000. Its totient is φ = 38900736.

The previous prime is 141102847. The next prime is 141102869. The reversal of 141102864 is 468201141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141102869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86892 + ... + 88500.

It is an arithmetic number, because the mean of its divisors is an integer number (2994600).

Almost surely, 2141102864 is an apocalyptic number.

141102864 is a gapful number since it is divisible by the number (14) 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 141102864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239568000).

141102864 is an abundant number, since it is smaller than the sum of its proper divisors (338033136).

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

141102864 is a wasteful number, since it uses less digits than its factorization.

141102864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141102864 is about 11878.6726531208. The cubic root of 141102864 is about 520.6093251743.

The spelling of 141102864 in words is "one hundred forty-one million, one hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1609 1624 1827 2088 2436 3024 3132 3218 3248 3654 4176 4827 4872 5481 6264 6436 7308 9654 9744 10962 11263 12528 12872 14481 14616 19308 21924 22526 25744 28962 29232 33789 38616 43443 43848 45052 46661 57924 67578 77232 86886 87696 90104 93322 101367 115848 135156 139983 173772 180208 186644 202734 231696 270312 279966 304101 326627 347544 373288 405468 419949 540624 559932 608202 653254 695088 746576 810936 839898 979881 1119864 1216404 1259847 1306508 1621872 1679796 1959762 2239728 2432808 2519694 2613016 2939643 3359592 3919524 4865616 5039388 5226032 5879286 6719184 7839048 8818929 10078776 11758572 15678096 17637858 20157552 23517144 35275716 47034288 70551432 141102864