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214012334040 = 23351783436117
BaseRepresentation
bin1100011101010000100…
…0010000111111011000
3202110101212222000012020
43013110020100333120
512001244124142130
6242152123014440
721314265552561
oct3072410207730
9673355860166
10214012334040
118284242415a
123558836a420
13172483590ab
14a503089168
1558786e1e10
hex31d4210fd8

214012334040 has 32 divisors (see below), whose sum is σ = 642037002480. Its totient is φ = 57069955712.

The previous prime is 214012334027. The next prime is 214012334071. The reversal of 214012334040 is 40433210412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214012334040.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 891717939 + ... + 891718178.

Almost surely, 2214012334040 is an apocalyptic number.

214012334040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214012334040 is an abundant number, since it is smaller than the sum of its proper divisors (428024668440).

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

214012334040 is a wasteful number, since it uses less digits than its factorization.

214012334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783436131 (or 1783436127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214012334040 its reverse (40433210412), we get a palindrome (254445544452).

The spelling of 214012334040 in words is "two hundred fourteen billion, twelve million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1783436117 3566872234 5350308351 7133744468 8917180585 10700616702 14267488936 17834361170 21401233404 26751541755 35668722340 42802466808 53503083510 71337444680 107006167020 214012334040