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114054020440 = 23543611099973
BaseRepresentation
bin110101000111000100…
…1100011110101011000
3101220101121202112221021
41222032021203311120
53332040312123230
6124221245252224
711145236115013
oct1521611436530
9356347675837
10114054020440
1144408580728
121a130564074
13a9a8383979
14573d79a37a
152e77e8dc7a
hex1a8e263d58

114054020440 has 128 divisors (see below), whose sum is σ = 269369812800. Its totient is φ = 43423672320.

The previous prime is 114054020417. The next prime is 114054020447. The reversal of 114054020440 is 44020450411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114054020447) 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, 11431294 + ... + 11441266.

Almost surely, 2114054020440 is an apocalyptic number.

114054020440 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 114054020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134684906400).

114054020440 is an abundant number, since it is smaller than the sum of its proper divisors (155315792360).

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

114054020440 is a wasteful number, since it uses less digits than its factorization.

114054020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10197 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 114054020440 its reverse (44020450411), we get a palindrome (158074470851).

The spelling of 114054020440 in words is "one hundred fourteen billion, fifty-four million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 61 86 109 122 172 215 218 244 305 344 430 436 488 545 610 860 872 1090 1220 1720 2180 2440 2623 4360 4687 5246 6649 9374 9973 10492 13115 13298 18748 19946 20984 23435 26230 26596 33245 37496 39892 46870 49865 52460 53192 66490 79784 93740 99730 104920 132980 187480 199460 265960 285907 398920 428839 571814 608353 857678 1087057 1143628 1216706 1429535 1715356 2144195 2174114 2287256 2433412 2859070 3041765 3430712 4288390 4348228 4866824 5435285 5718140 6083530 8576780 8696456 10870570 11436280 12167060 17153560 21741140 24334120 26159179 43482280 46743451 52318358 66310477 93486902 104636716 130795895 132620954 186973804 209273432 233717255 261591790 265241908 331552385 373947608 467434510 523183580 530483816 663104770 934869020 1046367160 1326209540 1869738040 2652419080 2851350511 5702701022 11405402044 14256752555 22810804088 28513505110 57027010220 114054020440