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14340381222744 = 23331716672342731
BaseRepresentation
bin1101000010101110000101…
…0101000010011101011000
31212202221000211020122022000
43100223201111002131120
53334423100043111434
650255514042001000
73010026005121333
oct320534125023530
955687024218260
1014340381222744
1146297a3390245
1217373187a6160
138003a4b009a5
1437811465561a
1519d05d798b99
hexd0ae1542758

14340381222744 has 128 divisors (see below), whose sum is σ = 42202911340800. Its totient is φ = 4496242383360.

The previous prime is 14340381222743. The next prime is 14340381222749. The reversal of 14340381222744 is 44722218304341.

14340381222744 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 0 + 381 + 2 + 227 + 44 = 666.

It is a super-2 number, since 2×143403812227442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14340381222744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14340381222743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4949859 + ... + 7292589.

It is an arithmetic number, because the mean of its divisors is an integer number (329710244850).

Almost surely, 214340381222744 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 14340381222744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101455670400).

14340381222744 is an abundant number, since it is smaller than the sum of its proper divisors (27862530118056).

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

14340381222744 is a wasteful number, since it uses less digits than its factorization.

14340381222744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344430 (or 2344420 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 14340381222744 in words is "fourteen trillion, three hundred forty billion, three hundred eighty-one million, two hundred twenty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1667 1836 3334 3672 5001 6668 10002 13336 15003 20004 28339 30006 40008 45009 56678 60012 85017 90018 113356 120024 170034 180036 226712 255051 340068 360072 510102 680136 765153 1020204 1530306 2040408 2342731 3060612 4685462 6121224 7028193 9370924 14056386 18741848 21084579 28112772 39826427 42169158 56225544 63253737 79652854 84338316 119479281 126507474 159305708 168676632 238958562 253014948 318611416 358437843 477917124 506029896 716875686 955834248 1075313529 1433751372 2150627058 2867502744 3905332577 4301254116 7810665154 8602508232 11715997731 15621330308 23431995462 31242660616 35147993193 46863990924 66390653809 70295986386 93727981848 105443979579 132781307618 140591972772 199171961427 210887959158 265562615236 281183945544 398343922854 421775918316 531125230472 597515884281 796687845708 843551836632 1195031768562 1593375691416 1792547652843 2390063537124 3585095305686 4780127074248 7170190611372 14340381222744