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214165111540400 = 24521544334670257
BaseRepresentation
bin110000101100100000110011…
…011001011000101010110000
31001002021222120212001022112222
4300230200303121120222300
5211032340122023243100
62035254032145540212
763052630053634466
oct6054406331305260
91032258525038488
10214165111540400
116226aa06212049
122002a772644668
1392668b6462857
143ac590a7c0836
1519b5dd5565485
hexc2c833658ab0

214165111540400 has 60 divisors (see below), whose sum is σ = 514565013434472. Its totient is φ = 85660494904320.

The previous prime is 214165111540321. The next prime is 214165111540411. The reversal of 214165111540400 is 4045111561412.

It is a super-2 number, since 2×2141651115404002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11157929 + ... + 23512328.

Almost surely, 2214165111540400 is an apocalyptic number.

214165111540400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214165111540400 is an abundant number, since it is smaller than the sum of its proper divisors (300399901894072).

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

214165111540400 is a wasteful number, since it uses less digits than its factorization.

214165111540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34685718 (or 34685707 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 214165111540400 in words is "two hundred fourteen trillion, one hundred sixty-five billion, one hundred eleven million, five hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 15443 30886 61772 77215 123544 154430 247088 308860 386075 617720 772150 1235440 1544300 3088600 6177200 34670257 69340514 138681028 173351285 277362056 346702570 554724112 693405140 866756425 1386810280 1733512850 2773620560 3467025700 6934051400 13868102800 535412778851 1070825557702 2141651115404 2677063894255 4283302230808 5354127788510 8566604461616 10708255577020 13385319471275 21416511154040 26770638942550 42833022308080 53541277885100 107082555770200 214165111540400