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1375215480342 = 23211181220717387
BaseRepresentation
bin10100000000110001001…
…110101110111000010110
311212110200010112202010100
4110000301032232320112
5140012420130332332
62531433144234530
7201233056466154
oct24006116567026
94773603482110
101375215480342
114902533178a0
121a2638a6ba46
139c8b3c17b22
144a7bcb143d4
1525b8c35367c
hex140313aee16

1375215480342 has 96 divisors (see below), whose sum is σ = 3270136955904. Its totient is φ = 414217972800.

The previous prime is 1375215480341. The next prime is 1375215480383. The reversal of 1375215480342 is 2430845125731.

1375215480342 is a `hidden beast` number, since 1 + 3 + 7 + 521 + 5 + 4 + 80 + 3 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375215480341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79085773 + ... + 79103159.

It is an arithmetic number, because the mean of its divisors is an integer number (34063926624).

Almost surely, 21375215480342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375215480342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635068477952).

1375215480342 is an abundant number, since it is smaller than the sum of its proper divisors (1894921475562).

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

1375215480342 is a wasteful number, since it uses less digits than its factorization.

1375215480342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19794 (or 19791 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1375215480342 in words is "one trillion, three hundred seventy-five billion, two hundred fifteen million, four hundred eighty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 362 543 1086 1629 1991 2207 3258 3982 4414 5973 6621 11946 13242 17387 17919 19863 24277 34774 35838 39726 48554 52161 72831 104322 145662 156483 191257 218493 312966 382514 399467 436986 573771 798934 1147542 1198401 1721313 2396802 3147047 3442626 3595203 4394137 6294094 7190406 8788274 9441141 13182411 18882282 26364822 28323423 34617517 38373109 39547233 56646846 69235034 76746218 79094466 103852551 115119327 207705102 230238654 311557653 345357981 422104199 623115306 690715962 844208398 1266312597 2532625194 3798937791 6945532729 7597875582 13891065458 20836598187 41673196374 62509794561 76400860019 125019589122 152801720038 229202580057 458405160114 687607740171 1375215480342