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214433944480 = 25571711262287
BaseRepresentation
bin1100011110110101000…
…0100101001110100000
3202111111021022000222201
43013231100211032200
512003130042210410
6242302023342544
721330605311540
oct3075520451640
9674437260881
10214433944480
1182a3940a338
12356855b1a54
13172b47c5b22
14a543077320
1558a072383a
hex31ed4253a0

214433944480 has 96 divisors (see below), whose sum is σ = 613028860416. Its totient is φ = 69195485184.

The previous prime is 214433944477. The next prime is 214433944489. The reversal of 214433944480 is 84449334412.

It is a self number, because there is not a number n which added to its sum of digits gives 214433944480.

It is not an unprimeable number, because it can be changed into a prime (214433944489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5612104 + ... + 5650183.

It is an arithmetic number, because the mean of its divisors is an integer number (6385717296).

Almost surely, 2214433944480 is an apocalyptic number.

214433944480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214433944480 is an abundant number, since it is smaller than the sum of its proper divisors (398594915936).

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

214433944480 is a wasteful number, since it uses less digits than its factorization.

214433944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262326 (or 11262318 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 214433944480 in words is "two hundred fourteen billion, four hundred thirty-three million, nine hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 11262287 22524574 45049148 56311435 78836009 90098296 112622870 157672018 180196592 191458879 225245740 315344036 360393184 382917758 394180045 450491480 630688072 765835516 788360090 900982960 957294395 1261376144 1340212153 1531671032 1576720180 1801965920 1914588790 2522752288 2680424306 3063342064 3153440360 3829177580 5360848612 6126684128 6306880720 6701060765 7658355160 10721697224 12613761440 13402121530 15316710320 21443394448 26804243060 30633420640 42886788896 53608486120 107216972240 214433944480