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114455204244 = 2232235910123197
BaseRepresentation
bin110101010011000001…
…1111101000110010100
3101221102120122210122200
41222212003331012110
53333401013013434
6124325140124500
711161210120053
oct1524603750624
9357376583580
10114455204244
11445a3a84a97
121a222996730
13aa4051b034
14577ab8c39a
152e9d2d8199
hex1aa60fd194

114455204244 has 144 divisors (see below), whose sum is σ = 310066323840. Its totient is φ = 35517715200.

The previous prime is 114455204231. The next prime is 114455204257. The reversal of 114455204244 is 442402554411.

114455204244 is a `hidden beast` number, since 1 + 1 + 445 + 5 + 204 + 2 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114455204231) and next prime (114455204257).

It is a super-2 number, since 2×1144552042442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114455204199 and 114455204208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4922454 + ... + 4945650.

It is an arithmetic number, because the mean of its divisors is an integer number (2153238360).

Almost surely, 2114455204244 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 114455204244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155033161920).

114455204244 is an abundant number, since it is smaller than the sum of its proper divisors (195611119596).

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

114455204244 is a wasteful number, since it uses less digits than its factorization.

114455204244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23390 (or 23385 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 114455204244 its reverse (442402554411), we get a palindrome (556857758655).

The spelling of 114455204244 in words is "one hundred fourteen billion, four hundred fifty-five million, two hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 101 118 138 177 202 207 236 276 303 354 404 414 531 606 708 828 909 1062 1212 1357 1818 2124 2323 2714 3636 4071 4646 5428 5959 6969 8142 9292 11918 12213 13938 16284 17877 20907 23197 23836 24426 27876 35754 41814 46394 48852 53631 69591 71508 83628 92788 107262 137057 139182 208773 214524 274114 278364 411171 417546 533531 548228 822342 835092 1067062 1233513 1368623 1600593 1644684 2134124 2342897 2467026 2737246 3201186 4105869 4685794 4801779 4934052 5474492 6402372 7028691 8211738 9371588 9603558 12317607 14057382 16423476 19207116 21086073 24635214 28114764 31478329 42172146 49270428 53886631 62956658 84344292 94434987 107773262 125913316 138230923 161659893 188869974 215546524 276461846 283304961 323319786 377739948 414692769 484979679 552923692 566609922 646639572 829385538 969959358 1133219844 1244078307 1658771076 1939918716 2488156614 3179311229 4976313228 6358622458 9537933687 12717244916 19075867374 28613801061 38151734748 57227602122 114455204244