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132342210424134 = 233176712371739447
BaseRepresentation
bin11110000101110101010010…
…011100001110110101000110
3122100120210101012010212212000
4132011311102130032311012
5114321243321332033014
61145245101104010130
736606260226626214
oct3605652234166506
9570523335125760
10132342210424134
113919401a6a2757
1212a14982600946
1358aca8093b989
14249757bb4dcb4
1510477d07e7509
hex785d5270ed46

132342210424134 has 128 divisors (see below), whose sum is σ = 316296771333120. Its totient is φ = 40866349506048.

The previous prime is 132342210424111. The next prime is 132342210424157. The reversal of 132342210424134 is 431424012243231.

132342210424134 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 2 + 210 + 424 + 13 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (132342210424111) and next prime (132342210424157).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75213199 + ... + 76952645.

It is an arithmetic number, because the mean of its divisors is an integer number (2471068526040).

Almost surely, 2132342210424134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132342210424134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158148385666560).

132342210424134 is an abundant number, since it is smaller than the sum of its proper divisors (183954560908986).

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

132342210424134 is a wasteful number, since it uses less digits than its factorization.

132342210424134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740779 (or 1740773 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132342210424134 its reverse (431424012243231), we get a palindrome (563766222667365).

The spelling of 132342210424134 in words is "one hundred thirty-two trillion, three hundred forty-two billion, two hundred ten million, four hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 67 102 134 153 201 306 402 459 603 918 1139 1206 1237 1809 2278 2474 3417 3618 3711 6834 7422 10251 11133 20502 21029 22266 30753 33399 42058 61506 63087 66798 82879 126174 165758 189261 248637 378522 497274 567783 745911 1135566 1408943 1491822 1739447 2237733 2817886 3478894 4226829 4475466 5218341 8453658 10436682 12680487 15655023 25360974 29570599 31310046 38041461 46965069 59141198 76082922 88711797 93930138 116542949 177423594 233085898 266135391 349628847 532270782 699257694 798406173 1048886541 1596812346 1981230133 2097773082 2151695939 3146659623 3962460266 4303391878 5943690399 6293319246 6455087817 11887380798 12910175634 17831071197 19365263451 35662142394 36578830963 38730526902 53493213591 58095790353 73157661926 106986427182 109736492889 116191580706 144163627913 219472985778 288327255826 329209478667 432490883739 658418957334 864981767478 987628436001 1297472651217 1975256872002 2450781674521 2594945302434 3892417953651 4901563349042 7352345023563 7784835907302 14704690047126 22057035070689 44114070141378 66171105212067 132342210424134