Search a number
-
+
32115135053142 = 23261379552713963
BaseRepresentation
bin1110100110101011000110…
…01101110111110101010110
311012201011202222110022110200
413103111203031313311112
513202133244033200032
6152145253412001330
76523145661610161
oct723254315676526
9135634688408420
1032115135053142
11a261a52552419
123728165900246
1314bc5a0cc68ab
147d0548dd8ad8
153aa5c5ad147c
hex1d3563377d56

32115135053142 has 96 divisors (see below), whose sum is σ = 70928008769280. Its totient is φ = 10499117952960.

The previous prime is 32115135053083. The next prime is 32115135053143. The reversal of 32115135053142 is 24135053151123.

It is a happy number.

32115135053142 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 5 + 1 + 3 + 505 + 3 + 142 = 666.

It is a super-2 number, since 2×321151350531422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32115135053097 and 32115135053106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32115135053143) 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, 2300009853 + ... + 2300023815.

It is an arithmetic number, because the mean of its divisors is an integer number (738833424680).

Almost surely, 232115135053142 is an apocalyptic number.

32115135053142 is an abundant number, since it is smaller than the sum of its proper divisors (38812873716138).

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

32115135053142 is a wasteful number, since it uses less digits than its factorization.

32115135053142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19938 (or 19935 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 32115135053142 in words is "thirty-two trillion, one hundred fifteen billion, one hundred thirty-five million, fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 61 122 183 366 379 549 758 1098 1137 2274 3411 5527 6822 11054 13963 16581 23119 27926 33162 41889 46238 49743 69357 83778 99486 125667 138714 208071 251334 337147 416142 674294 851743 1011441 1703486 2022882 2094733 2555229 3034323 4189466 5110458 5291977 6068646 6284199 7665687 10583954 12568398 15331374 15875931 18852597 31751862 37705194 47627793 77173501 95255586 127778713 154347002 231520503 255557426 322810597 383336139 463041006 645621194 694561509 766672278 968431791 1150008417 1389123018 1936863582 2300016834 2905295373 4707583561 5810590746 9415167122 14122750683 28245501366 29248756879 42368252049 58497513758 84736504098 87746270637 175492541274 263238811911 526477623822 1784174169619 3568348339238 5352522508857 10705045017714 16057567526571 32115135053142