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114031312304 = 24713194219791
BaseRepresentation
bin110101000110011001…
…0111011110110110000
3101220100001000212020012
41222030302323312300
53332014003443204
6124215114434052
711144542106360
oct1521462736660
9356301025205
10114031312304
11443a6780778
121a124a32928
13a9a37629c0
14573a7689a0
152e75ea576e
hex1a8ccbbdb0

114031312304 has 160 divisors (see below), whose sum is σ = 286941634560. Its totient is φ = 42631142400.

The previous prime is 114031312303. The next prime is 114031312319. The reversal of 114031312304 is 403213130411.

It is a self number, because there is not a number n which added to its sum of digits gives 114031312304.

It is not an unprimeable number, because it can be changed into a prime (114031312303) 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, 11641649 + ... + 11651439.

It is an arithmetic number, because the mean of its divisors is an integer number (1793385216).

Almost surely, 2114031312304 is an apocalyptic number.

114031312304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114031312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143470817280).

114031312304 is an abundant number, since it is smaller than the sum of its proper divisors (172910322256).

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

114031312304 is a wasteful number, since it uses less digits than its factorization.

114031312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10259 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 114031312304 its reverse (403213130411), we get a palindrome (517244442715).

The spelling of 114031312304 in words is "one hundred fourteen billion, thirty-one million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 421 494 532 728 842 988 1064 1456 1684 1729 1976 2128 2947 3368 3458 3952 5473 5894 6736 6916 7999 9791 10946 11788 13832 15998 19582 21892 23576 27664 31996 38311 39164 43784 47152 55993 63992 68537 76622 78328 87568 103987 111986 127283 127984 137074 153244 156656 186029 207974 223972 254566 274148 306488 372058 415948 447944 509132 548296 612976 727909 744116 831896 890981 895888 1018264 1096592 1302203 1455818 1488232 1663792 1781962 2036528 2418377 2604406 2911636 2976464 3563924 4122011 4836754 5208812 5823272 7127848 8244022 9673508 10417624 11646544 14255696 16488044 16928639 19347016 20835248 28854077 32976088 33857278 38694032 53586143 57708154 65952176 67714556 78318209 107172286 115416308 135429112 156636418 214344572 230832616 270858224 313272836 375103001 428689144 461665232 548227463 626545672 750206002 857378288 1018136717 1096454926 1253091344 1500412004 2036273434 2192909852 3000824008 4072546868 4385819704 6001648016 7126957019 8145093736 8771639408 14253914038 16290187472 28507828076 57015656152 114031312304