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35190303131412 = 2232111321607327209
BaseRepresentation
bin10000000000001011000011…
…00001001000011100010100
311121121011022201201121101200
420000011201201020130110
514103024220100201122
6202502111352152500
710261262342154432
oct1000054141103424
9147534281647350
1035190303131412
111023813a787930
123b44149398730
13168357b88b400
1489931103bd52
154105a94dd5ac
hex200161848714

35190303131412 has 216 divisors, whose sum is σ = 105144446796480. Its totient is φ = 9837286018560.

The previous prime is 35190303131407. The next prime is 35190303131443. The reversal of 35190303131412 is 21413130309153.

35190303131412 is a `hidden beast` number, since 3 + 519 + 0 + 3 + 0 + 3 + 131 + 4 + 1 + 2 = 666.

It is a super-2 number, since 2×351903031314122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107383264 + ... + 107710472.

It is an arithmetic number, because the mean of its divisors is an integer number (486779846280).

Almost surely, 235190303131412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35190303131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572223398240).

35190303131412 is an abundant number, since it is smaller than the sum of its proper divisors (69954143665068).

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

35190303131412 is a wasteful number, since it uses less digits than its factorization.

35190303131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328863 (or 328845 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 35190303131412 in words is "thirty-five trillion, one hundred ninety billion, three hundred three million, one hundred thirty-one thousand, four hundred twelve".