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10124245040 = 2457131390693
BaseRepresentation
bin10010110110111001…
…11011100000110000
3222010120112221021112
421123130323200300
5131213301320130
64352341412452
7505613443250
oct113334734060
928116487245
1010124245040
114325966168
121b6670a128
13c5466c650
146c0865960
153e3c51495
hex25b73b830

10124245040 has 80 divisors (see below), whose sum is σ = 28970937408. Its totient is φ = 3204154368.

The previous prime is 10124245039. The next prime is 10124245049. The reversal of 10124245040 is 4054242101.

10124245040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10124244997 and 10124245015.

It is not an unprimeable number, because it can be changed into a prime (10124245049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688067 + ... + 702626.

Almost surely, 210124245040 is an apocalyptic number.

10124245040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124245040 is an abundant number, since it is smaller than the sum of its proper divisors (18846692368).

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

10124245040 is a wasteful number, since it uses less digits than its factorization.

10124245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390726 (or 1390720 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10124245040 its reverse (4054242101), we get a palindrome (14178487141).

The spelling of 10124245040 in words is "ten billion, one hundred twenty-four million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1390693 2781386 5562772 6953465 9734851 11125544 13906930 18079009 19469702 22251088 27813860 36158018 38939404 48674255 55627720 72316036 77878808 90395045 97348510 111255440 126553063 144632072 155757616 180790090 194697020 253106126 289264144 361580180 389394040 506212252 632765315 723160360 778788080 1012424504 1265530630 1446320720 2024849008 2531061260 5062122520 10124245040