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140224134140240 = 2458368639307669
BaseRepresentation
bin11111111000100001111001…
…101101000101000101010000
3200101111022000000011120121112
4133320201321231011011100
5121334413011314441430
61214122024455312452
741351600523040013
oct3770417155050520
9611438000146545
10140224134140240
11407527a30a5197
121388846297b728
136032104a64017
14268ac5476537a
1511328415ec195
hex7f8879b45150

140224134140240 has 80 divisors (see below), whose sum is σ = 329954956531200. Its totient is φ = 55412887266816.

The previous prime is 140224134140231. The next prime is 140224134140261. The reversal of 140224134140240 is 42041431422041.

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

It is a super-2 number, since 2×1402241341402402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140224134140197 and 140224134140206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455609126 + ... + 455916794.

It is an arithmetic number, because the mean of its divisors is an integer number (4124436956640).

Almost surely, 2140224134140240 is an apocalyptic number.

140224134140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140224134140240 is an abundant number, since it is smaller than the sum of its proper divisors (189730822390960).

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

140224134140240 is a wasteful number, since it uses less digits than its factorization.

140224134140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376404 (or 376398 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 140224134140240 its reverse (42041431422041), we get a palindrome (182265565562281).

The spelling of 140224134140240 in words is "one hundred forty trillion, two hundred twenty-four billion, one hundred thirty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 6640 68639 137278 274556 307669 343195 549112 615338 686390 1098224 1230676 1372780 1538345 2461352 2745560 3076690 4922704 5491120 5697037 6153380 11394074 12306760 22788148 24613520 25536527 28485185 45576296 51073054 56970370 91152592 102146108 113940740 127682635 204292216 227881480 255365270 408584432 455762960 510730540 1021461080 2042922160 21118092491 42236184982 84472369964 105590462455 168944739928 211180924910 337889479856 422361849820 844723699640 1689447399280 1752801676753 3505603353506 7011206707012 8764008383765 14022413414024 17528016767530 28044826828048 35056033535060 70112067070120 140224134140240