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214514026140 = 223512728151447
BaseRepresentation
bin1100011111001000001…
…0000100011010011100
3202111200211222121101010
43013302002010122130
512003311042314030
6242314004015220
721332600065011
oct3076202043234
9674624877333
10214514026140
1182a7a636927
12356a8391510
13172c828441b
14a54d961708
1558a77916b0
hex31f208469c

214514026140 has 48 divisors (see below), whose sum is σ = 605368737792. Its totient is φ = 56753315136.

The previous prime is 214514026127. The next prime is 214514026141. The reversal of 214514026140 is 41620415412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214514026098 and 214514026107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214514026141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14068104 + ... + 14083343.

It is an arithmetic number, because the mean of its divisors is an integer number (12611848704).

Almost surely, 2214514026140 is an apocalyptic number.

214514026140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214514026140 is an abundant number, since it is smaller than the sum of its proper divisors (390854711652).

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

214514026140 is a wasteful number, since it uses less digits than its factorization.

214514026140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28151586 (or 28151584 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 214514026140 in words is "two hundred fourteen billion, five hundred fourteen million, twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 28151447 56302894 84454341 112605788 140757235 168908682 281514470 337817364 422271705 563028940 844543410 1689086820 3575233769 7150467538 10725701307 14300935076 17876168845 21451402614 35752337690 42902805228 53628506535 71504675380 107257013070 214514026140