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146017720641 = 3133744044119
BaseRepresentation
bin1000011111111101010…
…1011001100101000001
3111221220020002202120110
42013333111121211001
54343021014030031
6151025110301533
713356312101232
oct2077725314501
9457806082513
10146017720641
1156a20218791
12243710578a9
1310a00523840
1470d2931089
153be91a9c46
hex21ff559941

146017720641 has 8 divisors (see below), whose sum is σ = 209666470720. Its totient is φ = 89857058832.

The previous prime is 146017720637. The next prime is 146017720663. The reversal of 146017720641 is 146027710641.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 146017720641 - 22 = 146017720637 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 3744044119 = 146017720641 / (1 + 4 + 6 + 0 + 1 + 7 + 7 + 2 + 0 + 6 + 4 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146017720641.

It is not an unprimeable number, because it can be changed into a prime (146017720601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872022021 + ... + 1872022098.

It is an arithmetic number, because the mean of its divisors is an integer number (26208308840).

Almost surely, 2146017720641 is an apocalyptic number.

It is an amenable number.

146017720641 is a deficient number, since it is larger than the sum of its proper divisors (63648750079).

146017720641 is a wasteful number, since it uses less digits than its factorization.

146017720641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744044135.

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 146017720641 in words is "one hundred forty-six billion, seventeen million, seven hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 13 39 3744044119 11232132357 48672573547 146017720641