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146063341424 = 247111367791723
BaseRepresentation
bin1000100000001000001…
…1011011011101110000
3111222000101221112112002
42020002003123131300
54343114203411144
6151033420153132
713360404626360
oct2100203333560
9458011845462
10146063341424
1156a43a48310
12243843987a8
1310a09b078a0
1470d8a089a0
153bed1bc14e
hex22020db770

146063341424 has 320 divisors, whose sum is σ = 390748323840. Its totient is φ = 51061570560.

The previous prime is 146063341351. The next prime is 146063341493. The reversal of 146063341424 is 424143360641.

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, 84771827 + ... + 84773549.

It is an arithmetic number, because the mean of its divisors is an integer number (1221088512).

Almost surely, 2146063341424 is an apocalyptic number.

146063341424 is a gapful number since it is divisible by the number (14) 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 146063341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195374161920).

146063341424 is an abundant number, since it is smaller than the sum of its proper divisors (244684982416).

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

146063341424 is a wasteful number, since it uses less digits than its factorization.

146063341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 146063341424 in words is "one hundred forty-six billion, sixty-three million, three hundred forty-one thousand, four hundred twenty-four".