Search a number
-
+
145413602628 = 223783172112119
BaseRepresentation
bin1000011101101101010…
…0110111110101000100
3111220100010100101110020
42013123110313311010
54340301340241003
6150445130055140
713335325141230
oct2073324676504
9456303311406
10145413602628
11567402079a8
122422287a4b0
1310935315768
1470765d55c0
153bb1126d53
hex21db537d44

145413602628 has 96 divisors (see below), whose sum is σ = 392701962240. Its totient is φ = 41018945280.

The previous prime is 145413602623. The next prime is 145413602629. The reversal of 145413602628 is 826206314541.

It is a super-2 number, since 2×1454136026282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145413602628.

It is not an unprimeable number, because it can be changed into a prime (145413602623) 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, 11992753 + ... + 12004871.

It is an arithmetic number, because the mean of its divisors is an integer number (4090645440).

Almost surely, 2145413602628 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 145413602628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196350981120).

145413602628 is an abundant number, since it is smaller than the sum of its proper divisors (247288359612).

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

145413602628 is a wasteful number, since it uses less digits than its factorization.

145413602628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937 (or 13935 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 145413602628 in words is "one hundred forty-five billion, four hundred thirteen million, six hundred two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1721 1743 2324 3442 3486 5163 6884 6972 10326 12047 12119 20652 24094 24238 36141 36357 48188 48476 72282 72714 84833 142843 144564 145428 169666 254499 285686 339332 428529 508998 571372 857058 999901 1005877 1017996 1714116 1999802 2011754 2999703 3017631 3999604 4023508 5999406 6035262 7041139 11998812 12070524 14082278 20856799 21123417 28164556 41713598 42246834 62570397 83427196 84493668 125140794 145997593 250281588 291995186 437992779 583990372 875985558 1731114317 1751971116 3462228634 5193342951 6924457268 10386685902 12117800219 20773371804 24235600438 36353400657 48471200876 72706801314 145413602628