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214143400560 = 24355316835173
BaseRepresentation
bin1100011101101111110…
…0001111101001110000
3202110202000120212122210
43013123330033221300
512002031202304220
6242213124132120
721320446604655
oct3073374175160
9673660525583
10214143400560
11828aa4043a1
1235604237040
131726955914b
14a516645c2c
155884e816e0
hex31dbf0fa70

214143400560 has 80 divisors (see below), whose sum is σ = 676369950624. Its totient is φ = 56027452416.

The previous prime is 214143400511. The next prime is 214143400607. The reversal of 214143400560 is 65004341412.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8404867 + ... + 8430306.

Almost surely, 2214143400560 is an apocalyptic number.

214143400560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214143400560 is an abundant number, since it is smaller than the sum of its proper divisors (462226550064).

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

214143400560 is a wasteful number, since it uses less digits than its factorization.

214143400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835242 (or 16835236 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 214143400560 its reverse (65004341412), we get a palindrome (279147741972).

The spelling of 214143400560 in words is "two hundred fourteen billion, one hundred forty-three million, four hundred thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 16835173 33670346 50505519 67340692 84175865 101011038 134681384 168351730 202022076 252527595 269362768 336703460 404044152 505055190 673406920 808088304 892264169 1010110380 1346813840 1784528338 2020220760 2676792507 3569056676 4040441520 4461320845 5353585014 7138113352 8922641690 10707170028 13383962535 14276226704 17845283380 21414340056 26767925070 35690566760 42828680112 53535850140 71381133520 107071700280 214143400560