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14144712540 = 2235736179311
BaseRepresentation
bin11010010110001011…
…10010111101011100
31100111202202211212020
431023011302331130
5212432021300130
610255322140140
71010343033660
oct151305627534
940452684766
1014144712540
115aa9359982
1228a9051650
1314455a91ba
149827c68a0
1557bbbae10
hex34b172f5c

14144712540 has 96 divisors (see below), whose sum is σ = 45280456704. Its totient is φ = 3231836160.

The previous prime is 14144712497. The next prime is 14144712553. The reversal of 14144712540 is 4521744141.

It is a super-3 number, since 3×141447125403 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1514485 + ... + 1523795.

It is an arithmetic number, because the mean of its divisors is an integer number (471671424).

Almost surely, 214144712540 is an apocalyptic number.

14144712540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144712540 is an abundant number, since it is smaller than the sum of its proper divisors (31135744164).

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

14144712540 is a wasteful number, since it uses less digits than its factorization.

14144712540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 14144712540 in words is "fourteen billion, one hundred forty-four million, seven hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 3617 7234 9311 10851 14468 18085 18622 21702 25319 27933 36170 37244 43404 46555 50638 54255 55866 65177 72340 75957 93110 101276 108510 111732 126595 130354 139665 151914 186220 195531 217020 253190 260708 279330 303828 325885 379785 391062 506380 558660 651770 759570 782124 977655 1303540 1519140 1955310 3910620 33677887 67355774 101033661 134711548 168389435 202067322 235745209 336778870 404134644 471490418 505168305 673557740 707235627 942980836 1010336610 1178726045 1414471254 2020673220 2357452090 2828942508 3536178135 4714904180 7072356270 14144712540