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7146322128 = 2432119746511
BaseRepresentation
bin1101010011111010…
…00011100011010000
3200110001001210000100
412221331003203100
5104113424302003
63141042252400
7342043510251
oct65175034320
920401053010
107146322128
113037a04650
121475357100
1389b717a9a
144bb168b28
152bc5bdba3
hex1a9f438d0

7146322128 has 120 divisors (see below), whose sum is σ = 22043339136. Its totient is φ = 2143180800.

The previous prime is 7146322103. The next prime is 7146322219. The reversal of 7146322128 is 8212236417.

It is a happy number.

7146322128 is a `hidden beast` number, since 7 + 1 + 4 + 632 + 2 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7146322092 and 7146322101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130393 + ... + 176903.

Almost surely, 27146322128 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 7146322128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021669568).

7146322128 is an abundant number, since it is smaller than the sum of its proper divisors (14897017008).

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

7146322128 is a wasteful number, since it uses less digits than its factorization.

7146322128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46633 (or 46624 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7146322128 is about 84535.9221159857. The cubic root of 7146322128 is about 1926.1681449200.

The spelling of 7146322128 in words is "seven billion, one hundred forty-six million, three hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 97 99 132 144 176 194 198 264 291 388 396 528 582 776 792 873 1067 1164 1552 1584 1746 2134 2328 3201 3492 4268 4656 6402 6984 8536 9603 12804 13968 17072 19206 25608 38412 46511 51216 76824 93022 139533 153648 186044 279066 372088 418599 511621 558132 744176 837198 1023242 1116264 1534863 1674396 2046484 2232528 3069726 3348792 4092968 4511567 4604589 6139452 6697584 8185936 9023134 9209178 12278904 13534701 18046268 18418356 24557808 27069402 36092536 36836712 40604103 49627237 54138804 72185072 73673424 81208206 99254474 108277608 148881711 162416412 198508948 216555216 297763422 324832824 397017896 446645133 595526844 649665648 794035792 893290266 1191053688 1786580532 2382107376 3573161064 7146322128