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14310340884 = 22327196734441
BaseRepresentation
bin11010101001111011…
…00111100100010100
31100221022102122020100
431110331213210110
5213301421402014
610324000134100
71014423614310
oct152475474424
940838378210
1014310340884
1160838a5a04
122934607330
1314709ba738
1499a7bcb40
1558b4d6009
hex354f67914

14310340884 has 144 divisors (see below), whose sum is σ = 43591300480. Its totient is φ = 3866849280.

The previous prime is 14310340871. The next prime is 14310340991. The reversal of 14310340884 is 48804301341.

14310340884 is a `hidden beast` number, since 143 + 103 + 408 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3220104 + ... + 3224544.

Almost surely, 214310340884 is an apocalyptic number.

14310340884 is a gapful number since it is divisible by the number (14) 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 14310340884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795650240).

14310340884 is an abundant number, since it is smaller than the sum of its proper divisors (29280959596).

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

14310340884 is a wasteful number, since it uses less digits than its factorization.

14310340884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14310340884 in words is "fourteen billion, three hundred ten million, three hundred forty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 673 684 798 1197 1346 1596 2019 2394 2692 4038 4441 4711 4788 6057 8076 8882 9422 12114 12787 13323 14133 17764 18844 24228 25574 26646 28266 31087 38361 39969 42399 51148 53292 56532 62174 76722 79938 84379 84798 89509 93261 115083 124348 153444 159876 168758 169596 179018 186522 230166 253137 268527 279783 337516 358036 373044 460332 506274 537054 559566 590653 759411 805581 1012548 1074108 1119132 1181306 1518822 1611162 1771959 2362612 2988793 3037644 3222324 3543918 5315877 5977586 7087836 8966379 10631754 11955172 17932758 20921551 21263508 26899137 35865516 41843102 53798274 56787067 62764653 83686204 107596548 113574134 125529306 170361201 188293959 227148268 251058612 340722402 376587918 397509469 511083603 681444804 753175836 795018938 1022167206 1192528407 1590037876 2044334412 2385056814 3577585221 4770113628 7155170442 14310340884