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1427142996 = 2233174318077
BaseRepresentation
bin101010100010000…
…0111100101010100
310200110102101011000
41111010013211110
510410322033441
6353340343300
750236341516
oct12504074524
93613371130
101427142996
11672648724
12339b44b30
13199893216
14d7779bb6
15854572b6
hex55107954

1427142996 has 96 divisors (see below), whose sum is σ = 4008977280. Its totient is φ = 437294592.

The previous prime is 1427142949. The next prime is 1427143033. The reversal of 1427142996 is 6992417241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69910 + ... + 87986.

It is an arithmetic number, because the mean of its divisors is an integer number (41760180).

Almost surely, 21427142996 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 1427142996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004488640).

1427142996 is an abundant number, since it is smaller than the sum of its proper divisors (2581834284).

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

1427142996 is a wasteful number, since it uses less digits than its factorization.

1427142996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18150 (or 18142 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1427142996 is about 37777.5461881790. The cubic root of 1427142996 is about 1125.8723757900.

The spelling of 1427142996 in words is "one billion, four hundred twenty-seven million, one hundred forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 43 51 54 68 86 102 108 129 153 172 204 258 306 387 459 516 612 731 774 918 1161 1462 1548 1836 2193 2322 2924 4386 4644 6579 8772 13158 18077 19737 26316 36154 39474 54231 72308 78948 108462 162693 216924 307309 325386 488079 614618 650772 777311 921927 976158 1229236 1554622 1843854 1952316 2331933 2765781 3109244 3687708 4663866 5531562 6995799 8297343 9327732 11063124 13214287 13991598 16594686 20987397 26428574 27983196 33189372 39642861 41974794 52857148 79285722 83949588 118928583 158571444 237857166 356785749 475714332 713571498 1427142996