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141314669552 = 24724323917539
BaseRepresentation
bin1000001110011100000…
…0101011101111110000
3111111202110111000100002
42003213000223233300
54303403023411202
6144530303445132
713131623605100
oct2034700535760
9444673430302
10141314669552
1154a274a0901
1223479bb67a8
1310431065084
146ba808b200
153a2135d302
hex20e702bbf0

141314669552 has 120 divisors (see below), whose sum is σ = 327287980800. Its totient is φ = 58904108928.

The previous prime is 141314669513. The next prime is 141314669563. The reversal of 141314669552 is 255966413141.

It is a junction number, because it is equal to n+sod(n) for n = 141314669497 and 141314669506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8048399 + ... + 8065937.

It is an arithmetic number, because the mean of its divisors is an integer number (2727399840).

Almost surely, 2141314669552 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 141314669552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163643990400).

141314669552 is an abundant number, since it is smaller than the sum of its proper divisors (185973311248).

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

141314669552 is a wasteful number, since it uses less digits than its factorization.

141314669552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843 (or 17830 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The spelling of 141314669552 in words is "one hundred forty-one billion, three hundred fourteen million, six hundred sixty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 239 301 344 392 478 602 688 784 956 1204 1673 1912 2107 2408 3346 3824 4214 4816 6692 8428 10277 11711 13384 16856 17539 20554 23422 26768 33712 35078 41108 46844 70156 71939 82216 93688 122773 140312 143878 164432 187376 245546 280624 287756 491092 503573 575512 754177 859411 982184 1007146 1151024 1508354 1718822 1964368 2014292 3016708 3437644 4028584 4191821 5279239 6033416 6875288 8057168 8383642 10558478 12066832 13750576 16767284 21116956 29342747 33534568 36954673 42233912 58685494 67069136 73909346 84467824 117370988 147818692 180248303 205399229 234741976 295637384 360496606 410798458 469483952 591274768 720993212 821596916 1261738121 1441986424 1643193832 2523476242 2883972848 3286387664 5046952484 8832166847 10093904968 17664333694 20187809936 35328667388 70657334776 141314669552