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214021136340 = 2232511108091483
BaseRepresentation
bin1100011101010010100…
…1110101111111010100
3202110102111112012200100
43013110221311333110
512001303402330330
6242153035414100
721314433433344
oct3072451657724
9673374465610
10214021136340
1182847396490
123558b2b4330
131724a11b75b
14a5042dad24
155879380060
hex31d4a75fd4

214021136340 has 72 divisors (see below), whose sum is σ = 708215403168. Its totient is φ = 51883911360.

The previous prime is 214021136339. The next prime is 214021136419. The reversal of 214021136340 is 43631120412.

It is a happy number.

214021136340 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 21 + 1 + 3 + 634 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54043762 + ... + 54047721.

It is an arithmetic number, because the mean of its divisors is an integer number (9836325044).

Almost surely, 2214021136340 is an apocalyptic number.

214021136340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214021136340 is an abundant number, since it is smaller than the sum of its proper divisors (494194266828).

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

214021136340 is a wasteful number, since it uses less digits than its factorization.

214021136340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108091509 (or 108091504 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 214021136340 its reverse (43631120412), we get a palindrome (257652256752).

The spelling of 214021136340 in words is "two hundred fourteen billion, twenty-one million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 108091483 216182966 324274449 432365932 540457415 648548898 972823347 1080914830 1189006313 1297097796 1621372245 1945646694 2161829660 2378012626 3242744490 3567018939 3891293388 4756025252 4864116735 5945031565 6485488980 7134037878 9728233470 10701056817 11890063130 14268075756 17835094695 19456466940 21402113634 23780126260 35670189390 42804227268 53505284085 71340378780 107010568170 214021136340