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146930810112 = 2833313743431
BaseRepresentation
bin1000100011010111000…
…0100011110100000000
3112001020212020111212000
42020311300203310000
54401403241410422
6151255445104000
713421040164532
oct2106560436400
9461225214760
10146930810112
1157349680389
12245869b8000
1310b17751078
14717bcd7852
153c4e41ecac
hex2235c23d00

146930810112 has 576 divisors, whose sum is σ = 472444600320. Its totient is φ = 44939059200.

The previous prime is 146930810099. The next prime is 146930810171. The reversal of 146930810112 is 211018039641.

146930810112 is a `hidden beast` number, since 1 + 469 + 3 + 0 + 81 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 340906537 + ... + 340906967.

It is an arithmetic number, because the mean of its divisors is an integer number (820216320).

Almost surely, 2146930810112 is an apocalyptic number.

146930810112 is a gapful number since it is divisible by the number (12) 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 146930810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236222300160).

146930810112 is an abundant number, since it is smaller than the sum of its proper divisors (325513790208).

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

146930810112 is a wasteful number, since it uses less digits than its factorization.

146930810112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 146930810112 its reverse (211018039641), we get a palindrome (357948849753).

The spelling of 146930810112 in words is "one hundred forty-six billion, nine hundred thirty million, eight hundred ten thousand, one hundred twelve".