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14214314033040 = 24351129185662409
BaseRepresentation
bin1100111011011000011100…
…1000110111111110010000
31212022212121222120212011210
43032312013020313332100
53330341403343024130
650121544332340120
72664643644520242
oct316660710677620
955285558525153
1014214314033040
114590290783760
1217169b5014640
137c1533954254
14371d95610092
15199b30d375b0
hexced87237f90

14214314033040 has 160 divisors (see below), whose sum is σ = 49727819894400. Its totient is φ = 3327070351360.

The previous prime is 14214314032927. The next prime is 14214314033071. The reversal of 14214314033040 is 4033041341241.

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 = 14214314032989 and 14214314033007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92754645 + ... + 92907764.

It is an arithmetic number, because the mean of its divisors is an integer number (310798874340).

Almost surely, 214214314033040 is an apocalyptic number.

14214314033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214314033040 is an abundant number, since it is smaller than the sum of its proper divisors (35513505861360).

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

14214314033040 is a wasteful number, since it uses less digits than its factorization.

14214314033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185662465 (or 185662459 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 14214314033040 its reverse (4033041341241), we get a palindrome (18247355374281).

The spelling of 14214314033040 in words is "fourteen trillion, two hundred fourteen billion, three hundred fourteen million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 185662409 371324818 556987227 742649636 928312045 1113974454 1485299272 1856624090 2042286499 2227948908 2784936135 2970598544 3713248180 4084572998 4455897816 5384209861 5569872270 6126859497 7426496360 8169145996 8911795632 10211432495 10768419722 11139744540 12253718994 14852992720 16152629583 16338291992 20422864990 21536839444 22279489080 24507437988 26921049305 30634297485 32305259166 32676583984 40845729980 43073678888 44558978160 49014875976 53842098610 59226308471 61268594970 64610518332 80763147915 81691459960 86147357776 98029751952 107684197220 118452616942 122537189940 129221036664 161526295830 163382919920 177678925413 215368394440 236905233884 245074379880 258442073328 296131542355 323052591660 355357850826 430736788880 473810467768 490148759760 592263084710 646105183320 710715701652 888394627065 947620935536 1184526169420 1292210366640 1421431403304 1776789254130 2369052338840 2842862806608 3553578508260 4738104677680 7107157016520 14214314033040