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14013040211324 = 22721131499941941
BaseRepresentation
bin1100101111101010101001…
…0010001011010101111100
31211121122002212101022210022
43023322222102023111330
53314042201243230244
645445300220031312
72644260125333300
oct313725222132574
954548085338708
1014013040211324
114512995975440
1216a39a2992538
137a856876471b
143663402a3d00
151947a0b446ee
hexcbeaa48b57c

14013040211324 has 144 divisors (see below), whose sum is σ = 32130927360000. Its totient is φ = 5282326224000.

The previous prime is 14013040211299. The next prime is 14013040211381. The reversal of 14013040211324 is 42311204031041.

It is a junction number, because it is equal to n+sod(n) for n = 14013040211293 and 14013040211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334092194 + ... + 334134134.

It is an arithmetic number, because the mean of its divisors is an integer number (223131440000).

Almost surely, 214013040211324 is an apocalyptic number.

14013040211324 is a gapful number since it is divisible by the number (14) 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 14013040211324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065463680000).

14013040211324 is an abundant number, since it is smaller than the sum of its proper divisors (18117887148676).

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

14013040211324 is a wasteful number, since it uses less digits than its factorization.

14013040211324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47000 (or 46991 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 14013040211324 its reverse (42311204031041), we get a palindrome (56324244242365).

The spelling of 14013040211324 in words is "fourteen trillion, thirteen billion, forty million, two hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 434 539 682 868 1078 1364 1519 2156 2387 3038 4774 4999 6076 9548 9998 16709 19996 33418 34993 41941 54989 66836 69986 83882 109978 139972 154969 167764 219956 244951 293587 309938 384923 461351 489902 587174 619876 769846 922702 979804 1084783 1174348 1300171 1539692 1704659 1845404 2055109 2169566 2600342 2694461 3229457 3409318 4110218 4339132 5200684 5388922 6458914 6818636 7593481 8220436 9101197 10777844 11932613 12917828 14301881 15186962 18202394 22606199 23865226 28603762 30373924 36404788 45212398 47730452 57207524 63708379 83528291 90424796 100113167 127416758 167056582 200226334 209663059 254833516 334113164 400452668 419326118 700792169 838652236 1401584338 1467641413 2306293649 2803168676 2935282826 4612587298 5870565652 6499554829 9225174596 10273489891 12999109658 16144055543 20546979782 25998219316 32288111086 41093959564 45496883803 64576222172 71495103119 90993767606 113008388801 142990206238 181987535212 226016777602 285980412476 318478186621 452033555204 500465721833 636956373242 1000931443666 1273912746484 2001862887332 3503260052831 7006520105662 14013040211324