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145714716 = 2232773892
BaseRepresentation
bin10001010111101…
…10111000011100
3101011012002000100
420223312320130
5244300332331
622243101100
73416361150
oct1053667034
9334162010
10145714716
1175285694
1240971790
132425b534
14154d1060
15cbd4ae6
hex8af6e1c

145714716 has 108 divisors (see below), whose sum is σ = 431568592. Its totient is φ = 40601088.

The previous prime is 145714693. The next prime is 145714721. The reversal of 145714716 is 617417541.

145714716 is a `hidden beast` number, since 14 + 571 + 4 + 71 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1637200 + ... + 1637288.

Almost surely, 2145714716 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 145714716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215784296).

145714716 is an abundant number, since it is smaller than the sum of its proper divisors (285853876).

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

145714716 is a wasteful number, since it uses less digits than its factorization.

145714716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 174 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 145714716 is about 12071.2350652284. The cubic root of 145714716 is about 526.2205506697.

The spelling of 145714716 in words is "one hundred forty-five million, seven hundred fourteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 89 126 146 178 219 252 267 292 356 438 511 534 623 657 801 876 1022 1068 1246 1314 1533 1602 1869 2044 2492 2628 3066 3204 3738 4599 5607 6132 6497 7476 7921 9198 11214 12994 15842 18396 19491 22428 23763 25988 31684 38982 45479 47526 55447 58473 71289 77964 90958 95052 110894 116946 136437 142578 166341 181916 221788 233892 272874 285156 332682 409311 499023 545748 578233 665364 818622 998046 1156466 1637244 1734699 1996092 2312932 3469398 4047631 5204097 6938796 8095262 10408194 12142893 16190524 20816388 24285786 36428679 48571572 72857358 145714716