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1421642124 = 223379831913
BaseRepresentation
bin101010010111100…
…1000100110001100
310200002001220101000
41110233020212030
510402420021444
6353022420300
750141521140
oct12457104614
93602056330
101421642124
1166a530851
12338131690
131986b8476
14d6b47220
1584c1c469
hex54bc898c

1421642124 has 96 divisors (see below), whose sum is σ = 4218762240. Its totient is φ = 405558144.

The previous prime is 1421642087. The next prime is 1421642137. The reversal of 1421642124 is 4212461241.

1421642124 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 642 + 12 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742192 + ... + 744104.

It is an arithmetic number, because the mean of its divisors is an integer number (43945440).

Almost surely, 21421642124 is an apocalyptic number.

1421642124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421642124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109381120).

1421642124 is an abundant number, since it is smaller than the sum of its proper divisors (2797120116).

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

1421642124 is a wasteful number, since it uses less digits than its factorization.

1421642124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

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

The square root of 1421642124 is about 37704.6697903589. The cubic root of 1421642124 is about 1124.4239682169.

It can be divided in two parts, 1421 and 642124, that added together give a triangular number (643545 = T1134).

The spelling of 1421642124 in words is "one billion, four hundred twenty-one million, six hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 983 1913 1966 2949 3826 3932 5739 5898 6881 7652 8847 11478 11796 13391 13762 17217 17694 20643 22956 26541 26782 27524 34434 35388 40173 41286 51651 53082 53564 61929 68868 80346 82572 103302 106164 120519 123858 160692 185787 206604 241038 247716 361557 371574 482076 723114 743148 1446228 1880479 3760958 5641437 7521916 11282874 13163353 16924311 22565748 26326706 33848622 39490059 50772933 52653412 67697244 78980118 101545866 118470177 157960236 203091732 236940354 355410531 473880708 710821062 1421642124