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14342074159104 = 21232593656077
BaseRepresentation
bin1101000010110100011000…
…1111000101000000000000
31212210002101210210201101200
43100231012033011000000
53334440031441042404
650300354035301200
73010115652624006
oct320550617050000
955702353721350
1014342074159104
11462a491a693aa
12173770b74a800
138005b4776093
1437823541ca76
1519d10c204839
hexd0b463c5000

14342074159104 has 156 divisors (see below), whose sum is σ = 41497525282356. Its totient is φ = 4772622237696.

The previous prime is 14342074159079. The next prime is 14342074159111. The reversal of 14342074159104 is 40195147024341.

14342074159104 is a `hidden beast` number, since 1 + 4 + 3 + 420 + 74 + 1 + 59 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4986110361600 + 9355963797504 = 2232960^2 + 3058752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14342074159104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21532314 + ... + 22188390.

It is an arithmetic number, because the mean of its divisors is an integer number (266009777451).

Almost surely, 214342074159104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14342074159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748762641178).

14342074159104 is an abundant number, since it is smaller than the sum of its proper divisors (27155451123252).

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

14342074159104 is an equidigital number, since it uses as much as digits as its factorization.

14342074159104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656700 (or 656675 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14342074159104 in words is "fourteen trillion, three hundred forty-two billion, seventy-four million, one hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 593 768 1024 1152 1186 1536 1779 2048 2304 2372 3072 3558 4096 4608 4744 5337 6144 7116 9216 9488 10674 12288 14232 18432 18976 21348 28464 36864 37952 42696 56928 75904 85392 113856 151808 170784 227712 303616 341568 455424 607232 656077 683136 910848 1214464 1312154 1366272 1821696 1968231 2428928 2624308 2732544 3643392 3936462 5248616 5465088 5904693 7286784 7872924 10497232 10930176 11809386 15745848 20994464 21860352 23618772 31491696 41988928 47237544 62983392 83977856 94475088 125966784 167955712 188950176 251933568 335911424 377900352 389053661 503867136 671822848 755800704 778107322 1007734272 1167160983 1343645696 1511601408 1556214644 2015468544 2334321966 2687291392 3023202816 3112429288 3501482949 4030937088 4668643932 6046405632 6224858576 7002965898 8061874176 9337287864 12092811264 12449717152 14005931796 18674575728 24185622528 24899434304 28011863592 37349151456 49798868608 56023727184 74698302912 99597737216 112047454368 149396605824 199195474432 224094908736 298793211648 398390948864 448189817472 597586423296 796781897728 896379634944 1195172846592 1593563795456 1792759269888 2390345693184 3585518539776 4780691386368 7171037079552 14342074159104