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23441414432 = 251096720589
BaseRepresentation
bin10101110101001101…
…111001100100100000
32020111200011020100112
4111311031321210200
5341002000230212
614434022510452
71456620510062
oct256515714440
966450136315
1023441414432
119a3a081687
124662595428
132297671037
1411c5393732
15922e54422
hex575379920

23441414432 has 24 divisors (see below), whose sum is σ = 46573688700. Its totient is φ = 11613176064.

The previous prime is 23441414411. The next prime is 23441414441.

23441414432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21221496976 + 2219917456 = 145676^2 + 47116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3356807 + ... + 3363782.

Almost surely, 223441414432 is an apocalyptic number.

It is an amenable number.

23441414432 is a deficient number, since it is larger than the sum of its proper divisors (23132274268).

23441414432 is a wasteful number, since it uses less digits than its factorization.

23441414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720708 (or 6720700 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 23441414432 in words is "twenty-three billion, four hundred forty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 109 218 436 872 1744 3488 6720589 13441178 26882356 53764712 107529424 215058848 732544201 1465088402 2930176804 5860353608 11720707216 23441414432