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114340433140 = 225238312972309
BaseRepresentation
bin110101001111100111…
…0001000110011110100
3101221010120200211022001
41222133032020303310
53333132122330030
6124305520145044
711155314434323
oct1523716106364
9357116624261
10114340433140
114454521483a
121a1b0468184
13aa2280513b
1457698340ba
152e931b6cca
hex1a9f388cf4

114340433140 has 96 divisors (see below), whose sum is σ = 253878831360. Its totient is φ = 43168536576.

The previous prime is 114340433111. The next prime is 114340433147. The reversal of 114340433140 is 41334043411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114340433099 and 114340433108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114340433147) 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, 49518306 + ... + 49520614.

It is an arithmetic number, because the mean of its divisors is an integer number (2644571160).

Almost surely, 2114340433140 is an apocalyptic number.

114340433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114340433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126939415680).

114340433140 is an abundant number, since it is smaller than the sum of its proper divisors (139538398220).

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

114340433140 is a wasteful number, since it uses less digits than its factorization.

114340433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 114340433140 its reverse (41334043411), we get a palindrome (155674476551).

The spelling of 114340433140 in words is "one hundred fourteen billion, three hundred forty million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1297 1660 1909 2309 2594 3818 4618 5188 6485 7636 9236 9545 11545 12970 19090 23090 25940 29831 38180 46180 53107 59662 106214 107651 119324 149155 191647 212428 215302 265535 298310 383294 430604 531070 538255 596620 766588 958235 1062140 1076510 1916470 2153020 2475973 2994773 3832940 4407881 4951946 5989546 8815762 9903892 11979092 12379865 14973865 17631524 22039405 24759730 29947730 44078810 49519460 59895460 68879779 88157620 137759558 248566159 275519116 344398895 497132318 688797790 994264636 1242830795 1377595580 2485661590 4971323180 5717021657 11434043314 22868086628 28585108285 57170216570 114340433140