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110356640142 = 23719831739631
BaseRepresentation
bin110011011000111000…
…1001011000110001110
3101112211221111011200020
41212301301023012032
53302002244441032
6122410325443010
710654511651430
oct1466161130616
9345757434606
10110356640142
11428904a0131
121947a270466
13a539369588
1454ac6dc650
152d0d593b2c
hex19b1c4b18e

110356640142 has 128 divisors (see below), whose sum is σ = 270300119040. Its totient is φ = 29337448320.

The previous prime is 110356640131. The next prime is 110356640143. The reversal of 110356640142 is 241046653011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110356640143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11453667 + ... + 11463297.

It is an arithmetic number, because the mean of its divisors is an integer number (2111719680).

Almost surely, 2110356640142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110356640142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135150059520).

110356640142 is an abundant number, since it is smaller than the sum of its proper divisors (159943478898).

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

110356640142 is a wasteful number, since it uses less digits than its factorization.

110356640142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 110356640142 in words is "one hundred ten billion, three hundred fifty-six million, six hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 83 114 133 166 173 249 266 346 399 498 519 581 798 1038 1162 1211 1577 1743 2422 3154 3287 3486 3633 4731 6574 7266 9462 9631 9861 11039 14359 19262 19722 22078 23009 28718 28893 33117 43077 46018 57786 66234 67417 69027 86154 100513 134834 138054 182989 201026 202251 272821 301539 365978 404502 545642 548967 603078 799373 818463 1097934 1280923 1598746 1636926 1666163 1909747 2398119 2561846 3332326 3819494 3842769 4796238 4998489 5595611 5729241 7685538 9996978 11191222 11458482 11663141 15188087 16786833 23326282 30376174 31657097 33573666 34989423 45564261 63314194 69978846 91128522 94971291 106316609 138291529 189942582 212633218 221599679 276583058 318949827 414874587 443199358 637899654 664799037 829749174 968040703 1329598074 1936081406 2627539051 2904122109 5255078102 5808244218 7882617153 15765234306 18392773357 36785546714 55178320071 110356640142