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114241131404240 = 2454134829613233
BaseRepresentation
bin11001111110011011010110…
…000011100101101111010000
3112222111100022212111222212212
4121332123112003211233100
5104433211314114413430
61042545352400411252
733030435506611301
oct3176332603455720
9488440285458785
10114241131404240
1133445434465825
1210990843916b28
134b98b7a996479
14202d42bcc47a8
15d31a19b14b95
hex67e6d60e5bd0

114241131404240 has 40 divisors (see below), whose sum is σ = 272088938584008. Its totient is φ = 44581904936960.

The previous prime is 114241131404219. The next prime is 114241131404287. The reversal of 114241131404240 is 42404131142411.

It can be written as a sum of positive squares in 4 ways, for example, as 9859273442704 + 104381857961536 = 3139948^2 + 10216744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1142411314042402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114241131404197 and 114241131404206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17414803337 + ... + 17414809896.

Almost surely, 2114241131404240 is an apocalyptic number.

114241131404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114241131404240 is an abundant number, since it is smaller than the sum of its proper divisors (157847807179768).

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

114241131404240 is a wasteful number, since it uses less digits than its factorization.

114241131404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34829613287 (or 34829613281 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 114241131404240 its reverse (42404131142411), we get a palindrome (156645262546651).

The spelling of 114241131404240 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred thirty-one million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 34829613233 69659226466 139318452932 174148066165 278636905864 348296132330 557273811728 696592264660 1393184529320 1428014142553 2786369058640 2856028285106 5712056570212 7140070712765 11424113140424 14280141425530 22848226280848 28560282851060 57120565702120 114241131404240