Search a number
-
+
3331242230040 = 233259253450639
BaseRepresentation
bin110000011110011101100…
…000101000000100011000
3102210110111222222000211100
4300132131200220010120
5414034341002330130
611030203534031400
7462450200520264
oct60363540500430
912713458860740
103331242230040
1110748544368aa
1245974a348560
131b219a1b295a
14b73394470a4
155b9beb09c60
hex3079d828118

3331242230040 has 48 divisors (see below), whose sum is σ = 10826537248800. Its totient is φ = 888331261248.

The previous prime is 3331242230033. The next prime is 3331242230081. The reversal of 3331242230040 is 400322421333.

3331242230040 is a `hidden beast` number, since 3 + 3 + 312 + 4 + 2 + 2 + 300 + 40 = 666.

It is a super-2 number, since 2×33312422300402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331242229986 and 3331242230013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4626724960 + ... + 4626725679.

It is an arithmetic number, because the mean of its divisors is an integer number (225552859350).

Almost surely, 23331242230040 is an apocalyptic number.

3331242230040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331242230040 is an abundant number, since it is smaller than the sum of its proper divisors (7495295018760).

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

3331242230040 is a wasteful number, since it uses less digits than its factorization.

3331242230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253450656 (or 9253450649 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3331242230040 its reverse (400322421333), we get a palindrome (3731564651373).

The spelling of 3331242230040 in words is "three trillion, three hundred thirty-one billion, two hundred forty-two million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9253450639 18506901278 27760351917 37013802556 46267253195 55520703834 74027605112 83281055751 92534506390 111041407668 138801759585 166562111502 185069012780 222082815336 277603519170 333124223004 370138025560 416405278755 555207038340 666248446008 832810557510 1110414076680 1665621115020 3331242230040