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114534415450 = 252721331311489
BaseRepresentation
bin110101010101011001…
…0000111110001011010
3101221122002201011000001
41222222302013301122
53334031302243300
6124341050003214
711163161316400
oct1525262076132
9357562634001
10114534415450
11446347675a4
121a24541650a
13aa53a63380
1457874cb470
152ea523316a
hex1aaac87c5a

114534415450 has 144 divisors (see below), whose sum is σ = 267753722040. Its totient is φ = 36129300480.

The previous prime is 114534415427. The next prime is 114534415459. The reversal of 114534415450 is 54514435411.

It can be written as a sum of positive squares in 12 ways, for example, as 21075199929 + 93459215521 = 145173^2 + 305711^2 .

It is not an unprimeable number, because it can be changed into a prime (114534415459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9963306 + ... + 9974794.

Almost surely, 2114534415450 is an apocalyptic number.

114534415450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114534415450 is an abundant number, since it is smaller than the sum of its proper divisors (153219306590).

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

114534415450 is a wasteful number, since it uses less digits than its factorization.

114534415450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

It can be divided in two parts, 114534 and 415450, that added together give a square (529984 = 7282).

The spelling of 114534415450 in words is "one hundred fourteen billion, five hundred thirty-four million, four hundred fifteen thousand, four hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 49 50 65 70 91 98 130 175 182 245 313 325 350 455 490 626 637 650 910 1225 1274 1565 2191 2275 2450 3130 3185 4069 4382 4550 6370 7825 8138 10955 11489 15337 15650 15925 20345 21910 22978 28483 30674 31850 40690 54775 56966 57445 76685 80423 101725 109550 114890 142415 149357 153370 160846 199381 203450 284830 287225 298714 383425 398762 402115 562961 574450 712075 746785 766850 804230 996905 1045499 1125922 1424150 1493570 1993810 2010575 2090998 2814805 3596057 3733925 4021150 4984525 5227495 5629610 7192114 7318493 7467850 9969050 10454990 14074025 14636986 17980285 25172399 26137475 28148050 35960570 36592465 46748741 50344798 52274950 73184930 89901425 93497482 125861995 176206793 179802850 182962325 233743705 251723990 327241187 352413586 365924650 467487410 629309975 654482374 881033965 1168718525 1258619950 1636205935 1762067930 2290688309 2337437050 3272411870 4405169825 4581376618 8181029675 8810339650 11453441545 16362059350 22906883090 57267207725 114534415450