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10000009140 = 22351131488759
BaseRepresentation
bin10010101000000110…
…00000011110110100
3221210220210002122220
421110003000132310
5130440000243030
64332142522340
7502544450412
oct112403003664
927726702586
1010000009140
114271820970
121b30b963b0
13c349c1694
146ac1662b2
153d7db0a10
hex2540c07b4

10000009140 has 96 divisors (see below), whose sum is σ = 31530885120. Its totient is φ = 2346038400.

The previous prime is 10000009139. The next prime is 10000009157. The reversal of 10000009140 is 4190000001.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 223920 + ... + 264839.

It is an arithmetic number, because the mean of its divisors is an integer number (328446720).

Almost surely, 210000009140 is an apocalyptic number.

10000009140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000009140 is an abundant number, since it is smaller than the sum of its proper divisors (21530875980).

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

10000009140 is a wasteful number, since it uses less digits than its factorization.

10000009140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488813 (or 488811 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10000009140 its reverse (4190000001), we get a palindrome (14190009141).

The spelling of 10000009140 in words is "ten billion, nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 488759 977518 1466277 1955036 2443795 2932554 4887590 5376349 5865108 7331385 9775180 10752698 14662770 15151529 16129047 21505396 26881745 29325540 30303058 32258094 45454587 53763490 60606116 64516188 75757645 80645235 90909174 107526980 151515290 161290470 166666819 181818348 227272935 303030580 322580940 333333638 454545870 500000457 666667276 833334095 909091740 1000000914 1666668190 2000001828 2500002285 3333336380 5000004570 10000009140