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214162642840 = 23517497363331
BaseRepresentation
bin1100011101110100010…
…1101001011110011000
3202110210100210111002211
43013131011221132120
512002101114032330
6242215052404504
721321102266626
oct3073505513630
9673710714084
10214162642840
118290a257403
123560a776734
1317270535703
14a519014516
1558869d2d2a
hex31dd169798

214162642840 has 64 divisors (see below), whose sum is σ = 510321656160. Its totient is φ = 80608450560.

The previous prime is 214162642751. The next prime is 214162642849. The reversal of 214162642840 is 48246261412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 214162642793 and 214162642802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214162642849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349975 + ... + 3413305.

Almost surely, 2214162642840 is an apocalyptic number.

214162642840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214162642840 is an abundant number, since it is smaller than the sum of its proper divisors (296159013320).

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

214162642840 is a wasteful number, since it uses less digits than its factorization.

214162642840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68332 (or 68328 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 214162642840 in words is "two hundred fourteen billion, one hundred sixty-two million, six hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4973 9946 19892 24865 39784 49730 63331 84541 99460 126662 169082 198920 253324 316655 338164 422705 506648 633310 676328 845410 1076627 1266620 1690820 2153254 2533240 3381640 4306508 5383135 8613016 10766270 21532540 43065080 314945063 629890126 1259780252 1574725315 2519560504 3149450630 5354066071 6298901260 10708132142 12597802520 21416264284 26770330355 42832528568 53540660710 107081321420 214162642840