Search a number
-
+
3043980656640 = 21433571161293
BaseRepresentation
bin101100010010111011011…
…000101100000000000000
3101210000001020122010022000
4230102323120230000000
5344333033022003030
610250215125344000
7432630451445610
oct54227330540000
911700036563260
103043980656640
11a73a437a6aa0
12411b3ab68000
1319107a4c05a1
14a7488020a40
15542aa92e860
hex2c4bb62c000

3043980656640 has 1920 divisors, whose sum is σ = 13761259223040. Its totient is φ = 620022988800.

The previous prime is 3043980656597. The next prime is 3043980656653. The reversal of 3043980656640 is 466560893403.

3043980656640 is a `hidden beast` number, since 3 + 0 + 4 + 39 + 8 + 0 + 6 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10389012334 + ... + 10389012626.

It is an arithmetic number, because the mean of its divisors is an integer number (7167322512).

Almost surely, 23043980656640 is an apocalyptic number.

3043980656640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3043980656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880629611520).

3043980656640 is an abundant number, since it is smaller than the sum of its proper divisors (10717278566400).

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

3043980656640 is a wasteful number, since it uses less digits than its factorization.

3043980656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3043980656640 in words is "three trillion, forty-three billion, nine hundred eighty million, six hundred fifty-six thousand, six hundred forty".