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1443375104 = 211672157
BaseRepresentation
bin101011000001000…
…0010100000000000
310201120222001102012
41112002002200000
510424001000404
6355120312052
750524325453
oct12602024000
93646861365
101443375104
11680825096
12343472628
131a0057612
14d99a349a
1586ab1a6e
hex56082800

1443375104 has 72 divisors (see below), whose sum is σ = 2948424570. Its totient is φ = 706387968.

The previous prime is 1443375077. The next prime is 1443375121. The reversal of 1443375104 is 4015733441.

It can be written as a sum of positive squares in only one way, i.e., 1328456704 + 114918400 = 36448^2 + 10720^2 .

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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9193394 + ... + 9193550.

Almost surely, 21443375104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1443375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474212285).

1443375104 is an abundant number, since it is smaller than the sum of its proper divisors (1505049466).

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

1443375104 is an frugal number, since it uses more digits than its factorization.

1443375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1443375104 is about 37991.7767944591. The cubic root of 1443375104 is about 1130.1247947381.

The spelling of 1443375104 in words is "one billion, four hundred forty-three million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 67 128 134 157 256 268 314 512 536 628 1024 1072 1256 2048 2144 2512 4288 4489 5024 8576 8978 10048 10519 17152 17956 20096 21038 34304 35912 40192 42076 68608 71824 80384 84152 137216 143648 160768 168304 287296 321536 336608 574592 673216 704773 1149184 1346432 1409546 2298368 2692864 2819092 4596736 5385728 5638184 9193472 10771456 11276368 21542912 22552736 45105472 90210944 180421888 360843776 721687552 1443375104