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10024342440 = 2335711933741
BaseRepresentation
bin10010101010111111…
…10101001110101000
3221212121120100200020
421111133311032220
5131012212424230
64334412240440
7503261335110
oct112537651650
927777510606
1010024342440
114284530932
121b39170120
13c39a61298
146b149c040
153da0ba810
hex2557f53a8

10024342440 has 64 divisors (see below), whose sum is σ = 34369176960. Its totient is φ = 2291278080.

The previous prime is 10024342423. The next prime is 10024342441. The reversal of 10024342440 is 4424342001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10024342440.

It is not an unprimeable number, because it can be changed into a prime (10024342441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5966031 + ... + 5967710.

It is an arithmetic number, because the mean of its divisors is an integer number (537018390).

Almost surely, 210024342440 is an apocalyptic number.

10024342440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024342440 is an abundant number, since it is smaller than the sum of its proper divisors (24344834520).

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

10024342440 is a wasteful number, since it uses less digits than its factorization.

10024342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933762 (or 11933758 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10024342440 its reverse (4424342001), we get a palindrome (14448684441).

The spelling of 10024342440 in words is "ten billion, twenty-four million, three hundred forty-two 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 84 105 120 140 168 210 280 420 840 11933741 23867482 35801223 47734964 59668705 71602446 83536187 95469928 119337410 143204892 167072374 179006115 238674820 250608561 286409784 334144748 358012230 417680935 477349640 501217122 668289496 716024460 835361870 1002434244 1253042805 1432048920 1670723740 2004868488 2506085610 3341447480 5012171220 10024342440