Search a number
-
+
41472337920 = 2113513113919
BaseRepresentation
bin100110100111111100…
…011010100000000000
310222001021112001102120
4212213330122200000
51134413404303140
631015132044240
72665503025116
oct464774324000
9128037461376
1041472337920
1116652065342
128055003680
133bac10aa30
142015d4dab6
15112adba1d0
hex9a7f1a800

41472337920 has 384 divisors, whose sum is σ = 144306489600. Its totient is φ = 10107224064.

The previous prime is 41472337903. The next prime is 41472337931. The reversal of 41472337920 is 2973327414.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45127221 + ... + 45128139.

It is an arithmetic number, because the mean of its divisors is an integer number (375798150).

Almost surely, 241472337920 is an apocalyptic number.

41472337920 is a gapful number since it is divisible by the number (40) 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 41472337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72153244800).

41472337920 is an abundant number, since it is smaller than the sum of its proper divisors (102834151680).

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

41472337920 is a wasteful number, since it uses less digits than its factorization.

41472337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 41472337920 in words is "forty-one billion, four hundred seventy-two million, three hundred thirty-seven thousand, nine hundred twenty".