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114012731152 = 242943131181241
BaseRepresentation
bin110101000101110110…
…0000011011100010000
3101220021202001211200101
41222023230003130100
53331444224344102
6124213212302144
711144225140045
oct1521354033420
9356252054611
10114012731152
114439723a451
121a11a771954
13a99c958338
1457380cd1cc
152e74534e87
hex1a8bb03710

114012731152 has 160 divisors (see below), whose sum is σ = 237901023360. Its totient is φ = 52835328000.

The previous prime is 114012731137. The next prime is 114012731201. The reversal of 114012731152 is 251137210411.

It is a self number, because there is not a number n which added to its sum of digits gives 114012731152.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473081752 + ... + 473081992.

It is an arithmetic number, because the mean of its divisors is an integer number (1486881396).

Almost surely, 2114012731152 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 114012731152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118950511680).

114012731152 is an abundant number, since it is smaller than the sum of its proper divisors (123888292208).

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

114012731152 is a wasteful number, since it uses less digits than its factorization.

114012731152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 114012731152 its reverse (251137210411), we get a palindrome (365149941563).

The spelling of 114012731152 in words is "one hundred fourteen billion, twelve million, seven hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 43 58 86 116 131 172 181 232 241 262 344 362 464 482 524 688 724 964 1048 1247 1448 1928 2096 2494 2896 3799 3856 4988 5249 5633 6989 7598 7783 9976 10363 10498 11266 13978 15196 15566 19952 20726 20996 22532 23711 27956 30392 31132 31571 41452 41992 43621 45064 47422 55912 60784 62264 63142 82904 83984 87242 90128 94844 111824 124528 126284 163357 165808 174484 189688 225707 252568 300527 326714 348968 379376 451414 505136 601054 653428 687619 697936 902828 915559 1019573 1202108 1265009 1306856 1357553 1375238 1805656 1831118 1875703 2039146 2404216 2530018 2613712 2715106 2750476 3611312 3662236 3751406 4078292 4808432 5060036 5430212 5500952 5714351 7324472 7502812 8156584 10120072 10860424 11001904 11428702 14648944 15005624 16313168 20240144 21720848 22857404 29567617 30011248 39369037 45714808 54395387 59135234 78738074 91429616 108790774 118270468 157476148 165716179 217581548 236540936 245717093 314952296 331432358 435163096 473081872 491434186 629904592 662864716 870326192 982868372 1325729432 1965736744 2651458864 3931473488 7125795697 14251591394 28503182788 57006365576 114012731152