Search a number
-
+
4012903631296 = 267191359130633
BaseRepresentation
bin111010011001010011101…
…100100000100111000000
3112012122000011011002101101
4322121103230200213000
51011221411312200141
612311300311344144
7562631331031330
oct72312354404700
915178004132341
104012903631296
11130795453586a
12549889382054
13231552228721
14dc322d810c0
156e5b8c23531
hex3a653b209c0

4012903631296 has 112 divisors (see below), whose sum is σ = 9173892833280. Its totient is φ = 1706033018880.

The previous prime is 4012903631279. The next prime is 4012903631371. The reversal of 4012903631296 is 6921363092104.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×40129036312962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30653596 + ... + 30784228.

It is an arithmetic number, because the mean of its divisors is an integer number (81909757440).

Almost surely, 24012903631296 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 4012903631296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586946416640).

4012903631296 is an abundant number, since it is smaller than the sum of its proper divisors (5160989201984).

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

4012903631296 is a wasteful number, since it uses less digits than its factorization.

4012903631296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131202 (or 131192 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 4012903631296 in words is "four trillion, twelve billion, nine hundred three million, six hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 191 224 359 382 448 718 764 1337 1436 1528 2513 2674 2872 3056 5026 5348 5744 6112 10052 10696 11488 12224 20104 21392 22976 40208 42784 68569 80416 85568 130633 137138 160832 261266 274276 479983 522532 548552 914431 959966 1045064 1097104 1828862 1919932 2090128 2194208 3657724 3839864 4180256 4388416 7315448 7679728 8360512 14630896 15359456 24950903 29261792 30718912 46897247 49901806 58523584 93794494 99803612 174656321 187588988 199607224 328280729 349312642 375177976 399214448 656561458 698625284 750355952 798428896 1313122916 1397250568 1500711904 1596857792 2626245832 2794501136 3001423808 5252491664 5589002272 8957374177 10504983328 11178004544 17914748354 21009966656 35829496708 62701619239 71658993416 125403238478 143317986832 250806476956 286635973664 501612953912 573271947328 1003225907824 2006451815648 4012903631296