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214387240374 = 23770012
BaseRepresentation
bin1100011110101001111…
…0011010110110110110
3202111101000102020000000
43013222132122312312
512003031113142444
6242253234332130
721326500322136
oct3075236326666
9674330366000
10214387240374
1182a1500a8aa
1235671a2a046
13172a7c22968
14a53ab9aac6
15589b59a469
hex31ea79adb6

214387240374 has 48 divisors (see below), whose sum is σ = 482366669520. Its totient is φ = 71452206000.

The previous prime is 214387240357. The next prime is 214387240393. The reversal of 214387240374 is 473042783412.

214387240374 is a `hidden beast` number, since 2 + 1 + 4 + 38 + 7 + 240 + 374 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30618874 + ... + 30625874.

It is an arithmetic number, because the mean of its divisors is an integer number (10049305615).

Almost surely, 2214387240374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214387240374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241183334760).

214387240374 is an abundant number, since it is smaller than the sum of its proper divisors (267979429146).

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

214387240374 is an frugal number, since it uses more digits than its factorization.

214387240374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14025 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 214387240374 in words is "two hundred fourteen billion, three hundred eighty-seven million, two hundred forty thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 7001 14002 21003 42006 63009 126018 189027 378054 567081 1134162 1701243 3402486 5103729 10207458 15311187 30622374 49014001 98028002 147042003 294084006 441126009 882252018 1323378027 2646756054 3970134081 7940268162 11910402243 23820804486 35731206729 71462413458 107193620187 214387240374