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114404030144 = 2617261101399
BaseRepresentation
bin110101010001100000…
…0101111011011000000
3101221022000100212222122
41222203000233123000
53333244412431034
6124320111223412
711160016132325
oct1524300573300
9357260325878
10114404030144
1144578102148
121a209817b68
13aa32a413c1
14577406ab4c
152e98a7a62e
hex1aa302f6c0

114404030144 has 84 divisors (see below), whose sum is σ = 245116045200. Its totient is φ = 52954091520.

The previous prime is 114404030137. The next prime is 114404030179. The reversal of 114404030144 is 441030404411.

It is a super-2 number, since 2×1144040301442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077557 + ... + 1178955.

Almost surely, 2114404030144 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 114404030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122558022600).

114404030144 is an abundant number, since it is smaller than the sum of its proper divisors (130712015056).

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

114404030144 is a wasteful number, since it uses less digits than its factorization.

114404030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101506 (or 101479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 114404030144 its reverse (441030404411), we get a palindrome (555434434555).

The spelling of 114404030144 in words is "one hundred fourteen billion, four hundred four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 289 488 544 578 976 1037 1088 1156 1952 2074 2312 3904 4148 4624 8296 9248 16592 17629 18496 33184 35258 66368 70516 101399 141032 202798 282064 405596 564128 811192 1128256 1622384 1723783 3244768 3447566 6185339 6489536 6895132 12370678 13790264 24741356 27580528 29304311 49482712 55161056 58608622 98965424 105150763 110322112 117217244 197930848 210301526 234434488 395861696 420603052 468868976 841206104 937737952 1682412208 1787562971 1875475904 3364824416 3575125942 6729648832 7150251884 14300503768 28601007536 57202015072 114404030144