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114105323031440 = 24513131837531731
BaseRepresentation
bin11001111100011100110111…
…001111110000101110010000
3112222000100210011002211200112
4121330130313033300232100
5104424000200144001230
61042403132311540452
733014560163521406
oct3174346717605620
9488010704084615
10114105323031440
11333a288314a1a4
121096a46198a728
134b8911663b170
142026a2724d476
15d2d21bdbbd95
hex67c7373f0b90

114105323031440 has 80 divisors (see below), whose sum is σ = 287883107176896. Its totient is φ = 41809583961600.

The previous prime is 114105323031439. The next prime is 114105323031457. The reversal of 114105323031440 is 44130323501411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1141053230314402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114105323031397 and 114105323031406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418629626 + ... + 418902105.

Almost surely, 2114105323031440 is an apocalyptic number.

114105323031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114105323031440 is an abundant number, since it is smaller than the sum of its proper divisors (173777784145456).

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

114105323031440 is a wasteful number, since it uses less digits than its factorization.

114105323031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837531888 (or 837531882 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 114105323031440 its reverse (44130323501411), we get a palindrome (158235646532851).

The spelling of 114105323031440 in words is "one hundred fourteen trillion, one hundred five billion, three hundred twenty-three million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 208 260 262 520 524 655 1040 1048 1310 1703 2096 2620 3406 5240 6812 8515 10480 13624 17030 27248 34060 68120 136240 837531731 1675063462 3350126924 4187658655 6700253848 8375317310 10887912503 13400507696 16750634620 21775825006 33501269240 43551650012 54439562515 67002538480 87103300024 108879125030 109716656761 174206600048 217758250060 219433313522 435516500120 438866627044 548583283805 871033000240 877733254088 1097166567610 1426316537893 1755466508176 2194333135220 2852633075786 4388666270440 5705266151572 7131582689465 8777332540880 11410532303144 14263165378930 22821064606288 28526330757860 57052661515720 114105323031440