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141739416 = 23337137211
BaseRepresentation
bin10000111001011…
…00010110011000
3100212201002221000
420130230112120
5242241130131
622021545000
73340523310
oct1034542630
9325632830
10141739416
117300aa15
123b575160
1323498ca0
1414b78440
15c69bce6
hex872c598

141739416 has 128 divisors (see below), whose sum is σ = 484646400. Its totient is φ = 37376640.

The previous prime is 141739397. The next prime is 141739441. The reversal of 141739416 is 614937141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 16051 + ... + 23261.

It is an arithmetic number, because the mean of its divisors is an integer number (3786300).

Almost surely, 2141739416 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 141739416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242323200).

141739416 is an abundant number, since it is smaller than the sum of its proper divisors (342906984).

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

141739416 is a wasteful number, since it uses less digits than its factorization.

141739416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7236 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 141739416 is about 11905.4364052730. The cubic root of 141739416 is about 521.3910192438.

The spelling of 141739416 in words is "one hundred forty-one million, seven hundred thirty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 7211 9828 14422 19656 21633 28844 43266 50477 57688 64899 86532 93743 100954 129798 151431 173064 187486 194697 201908 259596 281229 302862 374972 389394 403816 454293 519192 562458 605724 656201 749944 778788 843687 908586 1124916 1211448 1312402 1362879 1557576 1687374 1817172 1968603 2249832 2531061 2624804 2725758 3374748 3634344 3937206 5062122 5249608 5451516 5905809 6749496 7874412 10124244 10903032 11811618 15748824 17717427 20248488 23623236 35434854 47246472 70869708 141739416