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114941306064 = 24313537614567
BaseRepresentation
bin110101100001100001…
…0010010010011010000
3101222200110100022222210
41223003002102103100
53340344433243224
6124445303032120
711206231660404
oct1530302222320
9358613308883
10114941306064
1144823409532
121a33973b640
13aaba148150
1457c5567104
152ecad08429
hex1ac30924d0

114941306064 has 160 divisors (see below), whose sum is σ = 326305615104. Its totient is φ = 34646077440.

The previous prime is 114941306063. The next prime is 114941306087. The reversal of 114941306064 is 460603149411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114941306063) 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, 25165509 + ... + 25170075.

Almost surely, 2114941306064 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 114941306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163152807552).

114941306064 is an abundant number, since it is smaller than the sum of its proper divisors (211364309040).

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

114941306064 is a wasteful number, since it uses less digits than its factorization.

114941306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 114941306064 in words is "one hundred fourteen billion, nine hundred forty-one million, three hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 761 848 1272 1378 1522 2067 2283 2544 2756 3044 4134 4566 4567 5512 6088 8268 9132 9134 9893 11024 12176 13701 16536 18264 18268 19786 27402 29679 33072 36528 36536 39572 40333 54804 59358 59371 73072 79144 80666 109608 118716 118742 120999 158288 161332 178113 219216 237432 237484 241998 242051 322664 356226 474864 474968 483996 484102 524329 645328 712452 726153 949936 967992 968204 1048658 1424904 1452306 1572987 1935984 1936408 2097316 2849808 2904612 3145974 3146663 3475487 3872816 4194632 5809224 6291948 6293326 6950974 8389264 9439989 10426461 11618448 12583896 12586652 13901948 18879978 20852922 25167792 25173304 27803896 37759956 41705844 45181331 50346608 55607792 75519912 83411688 90362662 135543993 151039824 166823376 180725324 184200811 271087986 361450648 368401622 542175972 552602433 722901296 736803244 1084351944 1105204866 1473606488 2168703888 2210409732 2394610543 2947212976 4420819464 4789221086 7183831629 8841638928 9578442172 14367663258 19156884344 28735326516 38313768688 57470653032 114941306064