Search a number
-
+
402448923072 = 263272234115121
BaseRepresentation
bin1011101101100111101…
…00110011100111000000
31102110210100122112220100
411312303310303213000
523043203411014242
6504514341042400
741035026255300
oct5666364634700
91373710575810
10402448923072
1114574aa1a569
1265bb73b6400
132bc48ac6151
141569b519600
15a7068d554c
hex5db3d339c0

402448923072 has 504 divisors, whose sum is σ = 1434470742432. Its totient is φ = 107296358400.

The previous prime is 402448923067. The next prime is 402448923127. The reversal of 402448923072 is 270329844204.

It is a happy number.

402448923072 is a `hidden beast` number, since 402 + 4 + 4 + 8 + 9 + 230 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26607672 + ... + 26622792.

It is an arithmetic number, because the mean of its divisors is an integer number (2846172108).

Almost surely, 2402448923072 is an apocalyptic number.

402448923072 is a gapful number since it is divisible by the number (42) 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 402448923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717235371216).

402448923072 is an abundant number, since it is smaller than the sum of its proper divisors (1032021819360).

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

402448923072 is a wasteful number, since it uses less digits than its factorization.

402448923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 402448923072 in words is "four hundred two billion, four hundred forty-eight million, nine hundred twenty-three thousand, seventy-two".