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14210555156720 = 2451367541376969
BaseRepresentation
bin1100111011001010011100…
…0101111001100011110000
31212022111221000121011020022
43032302213011321203300
53330311204110003340
650120123334503012
72664451542556166
oct316624705714360
955274830534208
1014210555156720
114589731a102aa
121716126204a68
137c1084c87c90
14371b1a305236
151999b0d413b5
hexceca71798f0

14210555156720 has 160 divisors (see below), whose sum is σ = 36178950857280. Its totient is φ = 5159093575680.

The previous prime is 14210555156639. The next prime is 14210555156737. The reversal of 14210555156720 is 2765155501241.

It is a Cunningham number, because it is equal to 37696892-1.

It is a super-3 number, since 3×142105551567203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37508396 + ... + 37885364.

It is an arithmetic number, because the mean of its divisors is an integer number (226118442858).

Almost surely, 214210555156720 is an apocalyptic number.

14210555156720 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 14210555156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089475428640).

14210555156720 is an abundant number, since it is smaller than the sum of its proper divisors (21968395700560).

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

14210555156720 is a wasteful number, since it uses less digits than its factorization.

14210555156720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377603 (or 377597 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 44.

The spelling of 14210555156720 in words is "fourteen trillion, two hundred ten billion, five hundred fifty-five million, one hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 541 670 871 1040 1072 1082 1340 1742 2164 2680 2705 3484 4328 4355 5360 5410 6968 7033 8656 8710 10820 13936 14066 17420 21640 28132 34840 35165 36247 43280 56264 69680 70330 72494 112528 140660 144988 181235 281320 289976 362470 376969 471211 562640 579952 724940 753938 942422 1449880 1507876 1884844 1884845 2356055 2899760 3015752 3769688 3769690 4712110 4900597 6031504 7539376 7539380 9424220 9801194 15078760 18848440 19602388 24502985 25256923 30157520 37696880 39204776 49005970 50513846 78409552 98011940 101027692 126284615 196023880 202055384 203940229 252569230 328339999 392047760 404110768 407880458 505138460 656679998 815760916 1010276920 1019701145 1313359996 1631521832 1641699995 2020553840 2039402290 2626719992 2651222977 3263043664 3283399990 4078804580 5253439984 5302445954 6566799980 8157609160 10604891908 13133599960 13256114885 13663995343 16315218320 21209783816 26267199920 26512229770 27327990686 42419567632 53024459540 54655981372 68319976715 106048919080 109311962744 136639953430 177631939459 212097838160 218623925488 273279906860 355263878918 546559813720 710527757836 888159697295 1093119627440 1421055515672 1776319394590 2842111031344 3552638789180 7105277578360 14210555156720