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214148632960 = 2753083108533
BaseRepresentation
bin1100011101110001000…
…0001101000110000000
3202110202101102201011101
43013130100031012000
512002034022223320
6242213432224144
721320542226533
oct3073420150600
9673671381141
10214148632960
1182902358599
1235605b3b054
131726a66b942
14a517208a1a
155885666c0a
hex31dc40d180

214148632960 has 64 divisors (see below), whose sum is σ = 512119849680. Its totient is φ = 85630879744.

The previous prime is 214148632909. The next prime is 214148632961. The reversal of 214148632960 is 69236841412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 214148632960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214148632961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918854 + ... + 2027386.

Almost surely, 2214148632960 is an apocalyptic number.

214148632960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214148632960 is an abundant number, since it is smaller than the sum of its proper divisors (297971216720).

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

214148632960 is a wasteful number, since it uses less digits than its factorization.

214148632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111635 (or 111623 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 214148632960 in words is "two hundred fourteen billion, one hundred forty-eight million, six hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3083 6166 12332 15415 24664 30830 49328 61660 98656 108533 123320 197312 217066 246640 394624 434132 493280 542665 868264 986560 1085330 1736528 1973120 2170660 3473056 4341320 6946112 8682640 13892224 17365280 34730560 69461120 334607239 669214478 1338428956 1673036195 2676857912 3346072390 5353715824 6692144780 10707431648 13384289560 21414863296 26768579120 42829726592 53537158240 107074316480 214148632960