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5142598440 = 2335725124391
BaseRepresentation
bin1001100101000010…
…11101001100101000
3111021101201001211220
410302201131030220
541013001122230
62210143422040
7241303236240
oct46241351450
914241631756
105142598440
1121a9954361
12bb62b4920
1363c568875
1436adc0b20
15201722d10
hex13285d328

5142598440 has 128 divisors (see below), whose sum is σ = 17702737920. Its totient is φ = 1170720000.

The previous prime is 5142598421. The next prime is 5142598441. The reversal of 5142598440 is 448952415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5142598392 and 5142598401.

It is not an unprimeable number, because it can be changed into a prime (5142598441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198645 + ... + 223035.

It is an arithmetic number, because the mean of its divisors is an integer number (138302640).

Almost surely, 25142598440 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 5142598440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851368960).

5142598440 is an abundant number, since it is smaller than the sum of its proper divisors (12560139480).

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

5142598440 is a wasteful number, since it uses less digits than its factorization.

5142598440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24663 (or 24659 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5142598440 is about 71711.9128178854. The cubic root of 5142598440 is about 1726.0798045011.

The spelling of 5142598440 in words is "five billion, one hundred forty-two million, five hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 251 280 420 502 753 840 1004 1255 1506 1757 2008 2510 3012 3514 3765 5020 5271 6024 7028 7530 8785 10040 10542 14056 15060 17570 21084 24391 26355 30120 35140 42168 48782 52710 70280 73173 97564 105420 121955 146346 170737 195128 210840 243910 292692 341474 365865 487820 512211 585384 682948 731730 853685 975640 1024422 1365896 1463460 1707370 2048844 2561055 2926920 3414740 4097688 5122110 6122141 6829480 10244220 12244282 18366423 20488440 24488564 30610705 36732846 42854987 48977128 61221410 73465692 85709974 91832115 122442820 128564961 146931384 171419948 183664230 214274935 244885640 257129922 342839896 367328460 428549870 514259844 642824805 734656920 857099740 1028519688 1285649610 1714199480 2571299220 5142598440