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442144674200 = 23527013153671
BaseRepresentation
bin1100110111100011110…
…00000101000110011000
31120021020211012122102002
412123301320011012120
524221003014033300
6535041330500132
743641520502165
oct6336170050630
91507224178362
10442144674200
11160570161959
1271835434648
1332903b20998
141758552906c
15b77b81e5d5
hex66f1e05198

442144674200 has 48 divisors (see below), whose sum is σ = 1029453150960. Its totient is φ = 176605520000.

The previous prime is 442144674011. The next prime is 442144674217. The reversal of 442144674200 is 2476441244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1436636 + ... + 1717035.

It is an arithmetic number, because the mean of its divisors is an integer number (21446940645).

Almost surely, 2442144674200 is an apocalyptic number.

442144674200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442144674200 is an abundant number, since it is smaller than the sum of its proper divisors (587308476760).

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

442144674200 is a wasteful number, since it uses less digits than its factorization.

442144674200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154388 (or 3154379 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 38.

The spelling of 442144674200 in words is "four hundred forty-two billion, one hundred forty-four million, six hundred seventy-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 701 1402 2804 3505 5608 7010 14020 17525 28040 35050 70100 140200 3153671 6307342 12614684 15768355 25229368 31536710 63073420 78841775 126146840 157683550 315367100 630734200 2210723371 4421446742 8842893484 11053616855 17685786968 22107233710 44214467420 55268084275 88428934840 110536168550 221072337100 442144674200