Search a number
-
+
33546040140 = 22351929426351
BaseRepresentation
bin11111001111011111…
…111111001101001100
310012120212210101222010
4133033133333031030
51022200241241030
623224424021220
72265205431204
oct371737771514
9105525711863
1033546040140
1113254957518
126602601810
133217c315c2
1418a338d404
15d150cc6b0
hex7cf7ff34c

33546040140 has 48 divisors (see below), whose sum is σ = 98872542720. Its totient is φ = 8474788800.

The previous prime is 33546040139. The next prime is 33546040147. The reversal of 33546040140 is 4104064533.

It is a super-2 number, since 2×335460401402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33546040098 and 33546040107.

It is not an unprimeable number, because it can be changed into a prime (33546040147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14712036 + ... + 14714315.

It is an arithmetic number, because the mean of its divisors is an integer number (2059844640).

Almost surely, 233546040140 is an apocalyptic number.

33546040140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33546040140 is an abundant number, since it is smaller than the sum of its proper divisors (65326502580).

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

33546040140 is a wasteful number, since it uses less digits than its factorization.

33546040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29426382 (or 29426380 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 33546040140 in words is "thirty-three billion, five hundred forty-six million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 29426351 58852702 88279053 117705404 147131755 176558106 294263510 353116212 441395265 559100669 588527020 882790530 1118201338 1677302007 1765581060 2236402676 2795503345 3354604014 5591006690 6709208028 8386510035 11182013380 16773020070 33546040140