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1442122461 = 34132176197
BaseRepresentation
bin101010111110101…
…0000101011011101
310201111121102010000
41111331100223131
510423140404321
6355033404513
750510560443
oct12575205335
93644542100
101442122461
11680049a4a
12342b69739
1319ca09400
14d9758b93
1586915826
hex55f50add

1442122461 has 60 divisors (see below), whose sum is σ = 2470361652. Its totient is φ = 835121664.

The previous prime is 1442122459. The next prime is 1442122481. The reversal of 1442122461 is 1642212441.

1442122461 is a `hidden beast` number, since 14 + 421 + 224 + 6 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 123343236 + 1318779225 = 11106^2 + 36315^2 .

It is not a de Polignac number, because 1442122461 - 21 = 1442122459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442122481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 229615 + ... + 235811.

Almost surely, 21442122461 is an apocalyptic number.

It is an amenable number.

1442122461 is a deficient number, since it is larger than the sum of its proper divisors (1028239191).

1442122461 is a wasteful number, since it uses less digits than its factorization.

1442122461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6230 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1442122461 is about 37975.2875038491. The cubic root of 1442122461 is about 1129.7977712609.

The spelling of 1442122461 in words is "one billion, four hundred forty-two million, one hundred twenty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 169 221 351 459 507 663 1053 1377 1521 1989 2873 4563 5967 6197 8619 13689 17901 18591 25857 55773 77571 80561 105349 167319 232713 241683 316047 501957 725049 948141 1047293 1369537 2175147 2844423 3141879 4108611 6525441 8533269 9425637 12325833 17803981 28276911 36977499 53411943 84830733 110932497 160235829 480707487 1442122461