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1042140024 = 233247547563
BaseRepresentation
bin111110000111011…
…100101101111000
32200121222012100200
4332013130231320
54113241440044
6251224402200
734553021052
oct7607345570
92617865320
101042140024
11495296252
12251016360
13137ba2b03
149c59a8d2
1561757369
hex3e1dcb78

1042140024 has 96 divisors (see below), whose sum is σ = 2892913920. Its totient is φ = 338764608.

The previous prime is 1042140019. The next prime is 1042140031. The reversal of 1042140024 is 4200412401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042139979 and 1042140006.

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, 1850767 + ... + 1851329.

It is an arithmetic number, because the mean of its divisors is an integer number (30134520).

Almost surely, 21042140024 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 1042140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446456960).

1042140024 is an abundant number, since it is smaller than the sum of its proper divisors (1850773896).

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

1042140024 is a wasteful number, since it uses less digits than its factorization.

1042140024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1042140024 is about 32282.1936057635. The cubic root of 1042140024 is about 1013.8538589382.

Adding to 1042140024 its reverse (4200412401), we get a palindrome (5242552425).

The spelling of 1042140024 in words is "one billion, forty-two million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 547 563 564 846 1094 1126 1128 1641 1689 1692 2188 2252 3282 3378 3384 4376 4504 4923 5067 6564 6756 9846 10134 13128 13512 19692 20268 25709 26461 39384 40536 51418 52922 77127 79383 102836 105844 154254 158766 205672 211688 231381 238149 307961 308508 317532 462762 476298 615922 617016 635064 923883 925524 952596 1231844 1847766 1851048 1905192 2463688 2771649 3695532 5543298 7391064 11086596 14474167 22173192 28948334 43422501 57896668 86845002 115793336 130267503 173690004 260535006 347380008 521070012 1042140024