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34650366250140 = 22325971984557059
BaseRepresentation
bin1111110000011101010101…
…10001011000110010011100
311112200112122121020010021100
413320032222301120302130
514020202422230001030
6201410054123033100
710204256243330634
oct770165261306234
9145615577203240
1034650366250140
111004a157462433
123a7758166b790
13164469178a754
1487b12db9b6c4
154015076e0360
hex1f83aac58c9c

34650366250140 has 72 divisors (see below), whose sum is σ = 106189679166480. Its totient is φ = 9144838923264.

The previous prime is 34650366250103. The next prime is 34650366250141. The reversal of 34650366250140 is 4105266305643.

34650366250140 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 0 + 3 + 6 + 625 + 0 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34650366250141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992261070 + ... + 992295989.

It is an arithmetic number, because the mean of its divisors is an integer number (1474856655090).

Almost surely, 234650366250140 is an apocalyptic number.

34650366250140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34650366250140 is an abundant number, since it is smaller than the sum of its proper divisors (71539312916340).

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

34650366250140 is a wasteful number, since it uses less digits than its factorization.

34650366250140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984557171 (or 1984557166 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 34650366250140 in words is "thirty-four trillion, six hundred fifty billion, three hundred sixty-six million, two hundred fifty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 1984557059 3969114118 5953671177 7938228236 9922785295 11907342354 17861013531 19845570590 23814684708 29768355885 35722027062 39691141180 59536711770 71444054124 89305067655 119073423540 178610135310 192502034723 357220270620 385004069446 577506104169 770008138892 962510173615 1155012208338 1732518312507 1925020347230 2310024416676 2887530520845 3465036625014 3850040694460 5775061041690 6930073250028 8662591562535 11550122083380 17325183125070 34650366250140