Search a number
-
+
10402223103504 = 2433311378116991
BaseRepresentation
bin1001011101011111010011…
…0100000001111000010000
31100211102221210221222112000
42113113310310001320100
52330412223103303004
634042414302034000
72122351533330531
oct227276464017020
940742853858460
1010402223103504
113350615835a41
12120002b578900
135a5c0522710b
1427d682664688
151308bbabdc39
hex975f4d01e10

10402223103504 has 320 divisors, whose sum is σ = 31089103503360. Its totient is φ = 3326479488000.

The previous prime is 10402223103469. The next prime is 10402223103521. The reversal of 10402223103504 is 40530132220401.

10402223103504 is a `hidden beast` number, since 1 + 0 + 402 + 223 + 1 + 0 + 35 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1487941449 + ... + 1487948439.

It is an arithmetic number, because the mean of its divisors is an integer number (97153448448).

Almost surely, 210402223103504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402223103504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544551751680).

10402223103504 is an abundant number, since it is smaller than the sum of its proper divisors (20686880399856).

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

10402223103504 is a wasteful number, since it uses less digits than its factorization.

10402223103504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10402223103504 its reverse (40530132220401), we get a palindrome (50932355323905).

The spelling of 10402223103504 in words is "ten trillion, four hundred two billion, two hundred twenty-three million, one hundred three thousand, five hundred four".