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14012311210440 = 23352231229426061
BaseRepresentation
bin1100101111100111111011…
…0101010000100111001000
31211121120020001122020120120
43023321332311100213020
53314034203132213230
645445100015023240
72644233064044264
oct313717665204710
954546201566516
1014012311210440
114512651418274
1216a381a80ab20
137a848071005a
143662b153b0a4
1519475bb44310
hexcbe7ed509c8

14012311210440 has 128 divisors (see below), whose sum is σ = 42259896806400. Its totient is φ = 3716824734720.

The previous prime is 14012311210409. The next prime is 14012311210453. The reversal of 14012311210440 is 4401211321041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14012311210440.

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, 32675010 + ... + 33101070.

It is an arithmetic number, because the mean of its divisors is an integer number (330155443800).

Almost surely, 214012311210440 is an apocalyptic number.

14012311210440 is a gapful number since it is divisible by the number (10) 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 14012311210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129948403200).

14012311210440 is an abundant number, since it is smaller than the sum of its proper divisors (28247585595960).

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

14012311210440 is a wasteful number, since it uses less digits than its factorization.

14012311210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427527 (or 427523 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14012311210440 its reverse (4401211321041), we get a palindrome (18413522531481).

The spelling of 14012311210440 in words is "fourteen trillion, twelve billion, three hundred eleven million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1229 1338 1784 2230 2458 2676 3345 3687 4460 4916 5352 6145 6690 7374 8920 9832 12290 13380 14748 18435 24580 26760 29496 36870 49160 73740 147480 274067 426061 548134 822201 852122 1096268 1278183 1370335 1644402 1704244 2130305 2192536 2556366 2740670 3288804 3408488 4111005 4260610 5112732 5481340 6390915 6577608 8222010 8521220 10225464 10962680 12781830 16444020 17042440 25563660 32888040 51127320 95011603 190023206 285034809 380046412 475058015 523628969 570069618 760092824 950116030 1047257938 1140139236 1425174045 1570886907 1900232060 2094515876 2280278472 2618144845 2850348090 3141773814 3800464120 4189031752 5236289690 5700696180 6283547628 7854434535 10472579380 11401392360 12567095256 15708869070 20945158760 31417738140 62835476280 116769260087 233538520174 350307780261 467077040348 583846300435 700615560522 934154080696 1167692600870 1401231121044 1751538901305 2335385201740 2802462242088 3503077802610 4670770403480 7006155605220 14012311210440