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3238912880112 = 2437134909151051
BaseRepresentation
bin101111001000011110010…
…000000110110111110000
3102110122012102000002022110
4233020132100012313300
5411031243144130422
610515534103405320
7453001165142130
oct57103620066760
912418172002273
103238912880112
111039684978728
12443881453840
131a6574910410
14b2a9b03aac0
15593b901060c
hex2f21e406df0

3238912880112 has 160 divisors (see below), whose sum is σ = 10300247964160. Its totient is φ = 854039116800.

The previous prime is 3238912880111. The next prime is 3238912880149. The reversal of 3238912880112 is 2110882198323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238912880111) 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, 21366987 + ... + 21518037.

It is an arithmetic number, because the mean of its divisors is an integer number (64376549776).

Almost surely, 23238912880112 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 3238912880112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150123982080).

3238912880112 is an abundant number, since it is smaller than the sum of its proper divisors (7061335084048).

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

3238912880112 is a wasteful number, since it uses less digits than its factorization.

3238912880112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155991 (or 155985 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 3238912880112 in words is "three trillion, two hundred thirty-eight billion, nine hundred twelve million, eight hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 4909 9818 14727 19636 29454 34363 39272 58908 63817 68726 78544 103089 117816 127634 137452 151051 191451 206178 235632 255268 274904 302102 382902 412356 446719 453153 510536 549808 604204 765804 824712 893438 906306 1021072 1057357 1208408 1340157 1531608 1649424 1786876 1812612 1963663 2114714 2416816 2680314 3063216 3172071 3573752 3625224 3927326 4229428 5360628 5890989 6344142 7147504 7250448 7854652 8458856 10721256 11781978 12688284 13745641 15709304 16917712 21442512 23563956 25376568 27491282 31418608 41236923 47127912 50753136 54982564 82473846 94255824 109965128 164947692 219930256 329895384 659790768 741509359 1483018718 2224528077 2966037436 4449056154 5190565513 5932074872 8898112308 9639621667 10381131026 11864149744 15571696539 17796224616 19279243334 20762262052 28918865001 31143393078 35592449232 38558486668 41524524104 57837730002 62286786156 67477351669 77116973336 83049048208 115675460004 124573572312 134954703338 154233946672 202432055007 231350920008 249147144624 269909406676 404864110014 462701840016 539818813352 809728220028 1079637626704 1619456440056 3238912880112