Search a number
-
+
442154234508 = 223723512238937
BaseRepresentation
bin1100110111100100111…
…00100011001010001100
31120021021111012100200120
412123302130203022030
524221012441001013
6535042311424540
743641664660620
oct6336234431214
91507244170616
10442154234508
111605755a1738
1271838685150
1332905aba37c
14175868d7180
15b77c5ac123
hex66f272328c

442154234508 has 48 divisors (see below), whose sum is σ = 1179580007424. Its totient is φ = 126275990400.

The previous prime is 442154234507. The next prime is 442154234521. The reversal of 442154234508 is 805432451244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 442154234508.

It is not an unprimeable number, because it can be changed into a prime (442154234507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921985 + ... + 1316952.

It is an arithmetic number, because the mean of its divisors is an integer number (24574583488).

Almost surely, 2442154234508 is an apocalyptic number.

It is an amenable number.

442154234508 is an abundant number, since it is smaller than the sum of its proper divisors (737425772916).

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

442154234508 is a wasteful number, since it uses less digits than its factorization.

442154234508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241302 (or 2241300 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 442154234508 in words is "four hundred forty-two billion, one hundred fifty-four million, two hundred thirty-four thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2351 4702 7053 9404 14106 16457 28212 32914 49371 65828 98742 197484 2238937 4477874 6716811 8955748 13433622 15672559 26867244 31345118 47017677 62690236 94035354 188070708 5263740887 10527481774 15791222661 21054963548 31582445322 36846186209 63164890644 73692372418 110538558627 147384744836 221077117254 442154234508