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14242022225040 = 2435101587542171
BaseRepresentation
bin1100111100111111101010…
…1011001111010010010000
31212102112011000102212000010
43033033322223033102100
53331320130142200130
650142410015154520
72666644405334151
oct317177253172220
955375130385003
1014242022225040
1145a100a291495
121720248515a40
137c402b281b2c
1437346351d928
1519a70365c0b0
hexcf3faacf490

14242022225040 has 80 divisors (see below), whose sum is σ = 44587400348736. Its totient is φ = 3760269888000.

The previous prime is 14242022225027. The next prime is 14242022225107. The reversal of 14242022225040 is 4052222024241.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14242022224989 and 14242022225007.

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, 293746846 + ... + 293795325.

Almost surely, 214242022225040 is an apocalyptic number.

14242022225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242022225040 is an abundant number, since it is smaller than the sum of its proper divisors (30345378123696).

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

14242022225040 is a wasteful number, since it uses less digits than its factorization.

14242022225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587542288 (or 587542282 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 14242022225040 its reverse (4052222024241), we get a palindrome (18294244249281).

The spelling of 14242022225040 in words is "fourteen trillion, two hundred forty-two billion, twenty-two million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 587542171 1175084342 1762626513 2350168684 2937710855 3525253026 4700337368 5875421710 7050506052 8813132565 9400674736 11750843420 14101012104 17626265130 23501686840 28202024208 35252530260 47003373680 59341759271 70505060520 118683518542 141010121040 178025277813 237367037084 296708796355 356050555626 474734074168 593417592710 712101111252 890126389065 949468148336 1186835185420 1424202222504 1780252778130 2373670370840 2848404445008 3560505556260 4747340741680 7121011112520 14242022225040