Search a number
-
+
3014634340152 = 2332731733315379
BaseRepresentation
bin101011110111100110001…
…101010111111100111000
3101200012022001100210010100
4223313212031113330320
5343342432342341102
610224523124115400
7430541310044601
oct53674615277470
911605261323110
103014634340152
11a62554548076
1240830ab35b60
1318b38169bc86
14a5ca2734da8
155363e3c9a1c
hex2bde6357f38

3014634340152 has 96 divisors (see below), whose sum is σ = 8324322411600. Its totient is φ = 985383387648.

The previous prime is 3014634340139. The next prime is 3014634340181. The reversal of 3014634340152 is 2510434364103.

3014634340152 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 634 + 3 + 4 + 0 + 15 + 2 = 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 23 ways as a sum of consecutive naturals, for example, 748402 + ... + 2566977.

Almost surely, 23014634340152 is an apocalyptic number.

It is an amenable number.

3014634340152 is an abundant number, since it is smaller than the sum of its proper divisors (5309688071448).

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

3014634340152 is a wasteful number, since it uses less digits than its factorization.

3014634340152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315637 (or 3315630 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3014634340152 in words is "three trillion, fourteen billion, six hundred thirty-four million, three hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 173 219 292 346 438 519 584 657 692 876 1038 1314 1384 1557 1752 2076 2628 3114 4152 5256 6228 12456 12629 25258 37887 50516 75774 101032 113661 151548 227322 303096 454644 909288 3315379 6630758 9946137 13261516 19892274 26523032 29838411 39784548 59676822 79569096 119353644 238707288 242022667 484045334 573560567 726068001 968090668 1147121134 1452136002 1720681701 1936181336 2178204003 2294242268 2904272004 3441363402 4356408006 4588484536 5162045103 5808544008 6882726804 8712816012 10324090206 13765453608 17425632024 20648180412 41296360824 41869921391 83739842782 125609764173 167479685564 251219528346 334959371128 376829292519 502439056692 753658585038 1004878113384 1507317170076 3014634340152