Search a number
-
+
33140314140012 = 223213129712365267
BaseRepresentation
bin1111000100100000101001…
…01001101110110101101100
311100100011221110202212202200
413202100110221232311230
513320432330404440022
6154252241121421500
76660210610223562
oct742202451566554
9140304843685680
1033140314140012
11a617801402a12
12387299419a890
13156516c93ccb1
14827ddd4c5a32
153c70c7ae2bac
hex1e2414a6ed6c

33140314140012 has 72 divisors (see below), whose sum is σ = 84439272869952. Its totient is φ = 10958750431200.

The previous prime is 33140314139983. The next prime is 33140314140041. The reversal of 33140314140012 is 21004141304133.

33140314140012 is a `hidden beast` number, since 331 + 4 + 0 + 314 + 1 + 4 + 0 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (33140314139983) and next prime (33140314140041).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12828603 + ... + 15193869.

Almost surely, 233140314140012 is an apocalyptic number.

It is an amenable number.

33140314140012 is an abundant number, since it is smaller than the sum of its proper divisors (51298958729940).

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

33140314140012 is a wasteful number, since it uses less digits than its factorization.

33140314140012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368379 (or 2368374 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 33140314140012 its reverse (21004141304133), we get a palindrome (54144455444145).

The spelling of 33140314140012 in words is "thirty-three trillion, one hundred forty billion, three hundred fourteen million, one hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 2971 4716 5942 8913 11884 17826 26739 35652 53478 106956 389201 778402 1167603 1556804 2335206 2365267 3502809 4670412 4730534 7005618 7095801 9461068 14011236 14191602 21287403 28383204 42574806 85149612 309849977 619699954 929549931 1239399908 1859099862 2788649793 3718199724 5577299586 7027208257 11154599172 14054416514 21081624771 28108833028 42163249542 63244874313 84326499084 126489748626 252979497252 920564281667 1841128563334 2761692845001 3682257126668 5523385690002 8285078535003 11046771380004 16570157070006 33140314140012