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1042202144 = 25319710831
BaseRepresentation
bin111110000111101…
…011111000100000
32200122002100120102
4332013223320200
54113300432034
6251230001532
734553400134
oct7607537040
92618070512
101042202144
11495328995
122510462a8
13137bc5179
149c5b53c4
156176a97e
hex3e1ebe20

1042202144 has 48 divisors (see below), whose sum is σ = 2140056576. Its totient is φ = 499046400.

The previous prime is 1042202107. The next prime is 1042202159. The reversal of 1042202144 is 4412022401.

It is a super-3 number, since 3×10422021443 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90809 + ... + 101639.

It is an arithmetic number, because the mean of its divisors is an integer number (44584512).

Almost surely, 21042202144 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 1042202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070028288).

1042202144 is an abundant number, since it is smaller than the sum of its proper divisors (1097854432).

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

1042202144 is a wasteful number, since it uses less digits than its factorization.

1042202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1042202144 is about 32283.1557317435. The cubic root of 1042202144 is about 1013.8740031763.

Adding to 1042202144 its reverse (4412022401), we get a palindrome (5454224545).

The spelling of 1042202144 in words is "one billion, forty-two million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 97 124 194 248 388 496 776 992 1552 3007 3104 6014 10831 12028 21662 24056 43324 48112 86648 96224 173296 335761 346592 671522 1050607 1343044 2101214 2686088 4202428 5372176 8404856 10744352 16809712 32568817 33619424 65137634 130275268 260550536 521101072 1042202144