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14014214122240 = 28519836942679
BaseRepresentation
bin1100101111101111000001…
…0000010010101100000000
31211121202010200022011211101
43023323300100102230000
53314102102303402430
645450012513024144
72644331201402143
oct313736020225400
954552120264741
1014014214122240
114513438582052
1216a406bb55054
137a86c4a23077
1436641216205a
1519481dc29dca
hexcbef0412b00

14014214122240 has 144 divisors (see below), whose sum is σ = 35760911558400. Its totient is φ = 5246665076736.

The previous prime is 14014214122229. The next prime is 14014214122267. The reversal of 14014214122240 is 4222141241041.

It is a junction number, because it is equal to n+sod(n) for n = 14014214122199 and 14014214122208.

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, 1452780 + ... + 5489899.

It is an arithmetic number, because the mean of its divisors is an integer number (248339663600).

Almost surely, 214014214122240 is an apocalyptic number.

14014214122240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014214122240 is an abundant number, since it is smaller than the sum of its proper divisors (21746697436160).

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

14014214122240 is an equidigital number, since it uses as much as digits as its factorization.

14014214122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942802 (or 6942788 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14014214122240 its reverse (4222141241041), we get a palindrome (18236355363281).

The spelling of 14014214122240 in words is "fourteen trillion, fourteen billion, two hundred fourteen million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 83 95 128 152 160 166 190 256 304 320 332 380 415 608 640 664 760 830 1216 1280 1328 1520 1577 1660 2432 2656 3040 3154 3320 4864 5312 6080 6308 6640 7885 10624 12160 12616 13280 15770 21248 24320 25232 26560 31540 50464 53120 63080 100928 106240 126160 201856 252320 403712 504640 1009280 2018560 6942679 13885358 27770716 34713395 55541432 69426790 111082864 131910901 138853580 222165728 263821802 277707160 444331456 527643604 555414320 576242357 659554505 888662912 1055287208 1110828640 1152484714 1319109010 1777325824 2110574416 2221657280 2304969428 2638218020 2881211785 4221148832 4443314560 4609938856 5276436040 5762423570 8442297664 8886629120 9219877712 10552872080 10948604783 11524847140 16884595328 18439755424 21105744160 21897209566 23049694280 33769190656 36879510848 42211488320 43794419132 46099388560 54743023915 73759021696 84422976640 87588838264 92198777120 109486047830 147518043392 168845953280 175177676528 184397554240 218972095660 350355353056 368795108480 437944191320 700710706112 737590216960 875888382640 1401421412224 1751776765280 2802842824448 3503553530560 7007107061120 14014214122240