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9142048368 = 243343523941
BaseRepresentation
bin10001000001110100…
…01001011001110000
3212121010101011202000
420200322021121300
5122210331021433
64111053454000
7442356062145
oct104072113160
925533334660
109142048368
1139714a2282
1219317a1300
13b29026a9b
1462a2303cc
153878da113
hex220e89670

9142048368 has 160 divisors (see below), whose sum is σ = 26931252480. Its totient is φ = 2967632640.

The previous prime is 9142048343. The next prime is 9142048403. The reversal of 9142048368 is 8638402419.

It is a happy number.

9142048368 is a `hidden beast` number, since 91 + 4 + 20 + 483 + 68 = 666.

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, 9714778 + ... + 9715718.

It is an arithmetic number, because the mean of its divisors is an integer number (168320328).

Almost surely, 29142048368 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 9142048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465626240).

9142048368 is an abundant number, since it is smaller than the sum of its proper divisors (17789204112).

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

9142048368 is a wasteful number, since it uses less digits than its factorization.

9142048368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9142048368 is about 95614.0594682602. The cubic root of 9142048368 is about 2090.9701750963.

The spelling of 9142048368 in words is "nine billion, one hundred forty-two million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 523 688 774 941 1032 1046 1161 1548 1569 1882 2064 2092 2322 2823 3096 3138 3764 4184 4644 4707 5646 6192 6276 7528 8368 8469 9288 9414 11292 12552 14121 15056 16938 18576 18828 22489 22584 25104 25407 28242 33876 37656 40463 44978 45168 50814 56484 67467 67752 75312 80926 89956 101628 112968 121389 134934 135504 161852 179912 202401 203256 225936 242778 269868 323704 359824 364167 404802 406512 485556 492143 539736 607203 647408 728334 809604 971112 984286 1079472 1092501 1214406 1456668 1476429 1619208 1942224 1968572 2185002 2428812 2913336 2952858 3238416 3937144 4370004 4429287 4857624 5826672 5905716 7874288 8740008 8858574 9715248 11811432 13287861 17480016 17717148 21162149 23622864 26575722 35434296 42324298 53151444 63486447 70868592 84648596 106302888 126972894 169297192 190459341 212605776 253945788 338594384 380918682 507891576 571378023 761837364 1015783152 1142756046 1523674728 2285512092 3047349456 4571024184 9142048368