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12440130424320 = 29352370426463
BaseRepresentation
bin1011010100000111000110…
…0011100000111000000000
31122001021011002010020211010
42311001301203200320000
53112304341342034240
642242530024320520
72422525012623114
oct265016143407000
948037132106733
1012440130424320
113a66914346a35
12148ab92613140
136c313a117121
143101697bd744
151688e29b5280
hexb50718e0e00

12440130424320 has 160 divisors (see below), whose sum is σ = 41498653059072. Its totient is φ = 3173134671872.

The previous prime is 12440130424291. The next prime is 12440130424373. The reversal of 12440130424320 is 2342403104421.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

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, 35036592 + ... + 35389871.

Almost surely, 212440130424320 is an apocalyptic number.

12440130424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12440130424320 is an abundant number, since it is smaller than the sum of its proper divisors (29058522634752).

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

12440130424320 is an equidigital number, since it uses as much as digits as its factorization.

12440130424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70426512 (or 70426496 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12440130424320 its reverse (2342403104421), we get a palindrome (14782533528741).

The spelling of 12440130424320 in words is "twelve trillion, four hundred forty billion, one hundred thirty million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1104 1280 1380 1472 1536 1840 1920 2208 2560 2760 2944 3680 3840 4416 5520 5888 7360 7680 8832 11040 11776 14720 17664 22080 29440 35328 44160 58880 88320 176640 70426463 140852926 211279389 281705852 352132315 422558778 563411704 704264630 845117556 1056396945 1126823408 1408529260 1619808649 1690235112 2112793890 2253646816 2817058520 3239617298 3380470224 4225587780 4507293632 4859425947 5634117040 6479234596 6760940448 8099043245 8451175560 9014587264 9718851894 11268234080 12958469192 13521880896 16198086490 16902351120 18029174528 19437703788 22536468160 24297129735 25916938384 27043761792 32396172980 33804702240 36058349056 38875407576 45072936320 48594259470 51833876768 54087523584 64792345960 67609404480 77750815152 90145872640 97188518940 103667753536 108175047168 129584691920 135218808960 155501630304 180291745280 194377037880 207335507072 259169383840 270437617920 311003260608 388754075760 414671014144 518338767680 540875235840 622006521216 777508151520 829342028288 1036677535360 1244013042432 1555016303040 2073355070720 2488026084864 3110032606080 4146710141440 6220065212160 12440130424320