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2134242414342 = 2363676076571
BaseRepresentation
bin11111000011101010110…
…000101100111100000110
321120000212000122002000000
4133003222300230330012
5234431412024224332
64312242445502130
7310123342125243
oct37035260547406
97500760562000
102134242414342
11753144226675
122a5769571946
1312634834533c
14754255725ca
153a7b34ecb7c
hex1f0eac2cf06

2134242414342 has 112 divisors (see below), whose sum is σ = 4821591017472. Its totient is φ = 708199063920.

The previous prime is 2134242414323. The next prime is 2134242414401. The reversal of 2134242414342 is 2434142424312.

2134242414342 is a `hidden beast` number, since 2 + 1 + 34 + 242 + 41 + 4 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2134242414297 and 2134242414306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 324793917 + ... + 324800487.

Almost surely, 22134242414342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134242414342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410795508736).

2134242414342 is an abundant number, since it is smaller than the sum of its proper divisors (2687348603130).

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

2134242414342 is an equidigital number, since it uses as much as digits as its factorization.

2134242414342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7550 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2134242414342 its reverse (2434142424312), we get a palindrome (4568384838654).

The spelling of 2134242414342 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, four hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 367 486 607 729 734 1101 1214 1458 1821 2202 3303 3642 5463 6571 6606 9909 10926 13142 16389 19713 19818 29727 32778 39426 49167 59139 59454 89181 98334 118278 147501 177417 178362 222769 267543 295002 354834 442503 445538 532251 535086 668307 885006 1064502 1336614 1596753 2004921 2411557 3193506 3988597 4009842 4790259 4823114 6014763 7234671 7977194 9580518 11965791 12029526 14469342 18044289 21704013 23931582 35897373 36088578 43408026 54132867 65112039 71794746 107692119 108265734 130224078 162398601 195336117 215384238 323076357 324797202 390672234 586008351 646152714 969229071 1172016702 1463815099 1758025053 1938458142 2907687213 2927630198 3516050106 4391445297 5815374426 8782890594 13174335891 26348671782 39523007673 79046015346 118569023019 237138046038 355707069057 711414138114 1067121207171 2134242414342