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214466459419880 = 23519674211831489
BaseRepresentation
bin110000110000111001011101…
…001000010100010011101000
31001010100210102022020201100022
4300300321131020110103220
5211102304302102414010
62040044310432500012
763113455536434003
oct6060713510242350
91033323368221308
10214466459419880
1162376795239128
12200790533aa608
13928913c5c1585
143ad633694853a
1519bdb71220d55
hexc30e5d2144e8

214466459419880 has 64 divisors (see below), whose sum is σ = 515528174376000. Its totient is φ = 80058492923904.

The previous prime is 214466459419879. The next prime is 214466459419907. The reversal of 214466459419880 is 88914954664412.

It is a super-2 number, since 2×2144664594198802 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (71) coincides with the sum of the digits of its distinct prime factors.

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, 2105864825 + ... + 2105966664.

It is an arithmetic number, because the mean of its divisors is an integer number (8055127724625).

Almost surely, 2214466459419880 is an apocalyptic number.

214466459419880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214466459419880 is an abundant number, since it is smaller than the sum of its proper divisors (301061714956120).

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

214466459419880 is a wasteful number, since it uses less digits than its factorization.

214466459419880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211831586 (or 4211831582 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 71.

The spelling of 214466459419880 in words is "two hundred fourteen trillion, four hundred sixty-six billion, four hundred fifty-nine million, four hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 1273 1340 2546 2680 5092 6365 10184 12730 25460 50920 4211831489 8423662978 16847325956 21059157445 33694651912 42118314890 80024798291 84236629780 160049596582 168473259560 282192709763 320099193164 400123991455 564385419526 640198386328 800247982910 1128770839052 1410963548815 1600495965820 2257541678104 2821927097630 3200991931640 5361661485497 5643854195260 10723322970994 11287708390520 21446645941988 26808307427485 42893291883976 53616614854970 107233229709940 214466459419880