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1000413144 = 233217817331
BaseRepresentation
bin111011101000010…
…001011111011000
32120201110020211200
4323220101133120
54022101210034
6243134154200
733535241253
oct7350213730
92521406750
101000413144
11473786225
1223b052960
1312c353253
1496c1809a
155cc63a99
hex3ba117d8

1000413144 has 48 divisors (see below), whose sum is σ = 2868835320. Its totient is φ = 313854720.

The previous prime is 1000413119. The next prime is 1000413157. The reversal of 1000413144 is 4413140001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407442 + ... + 409889.

Almost surely, 21000413144 is an apocalyptic number.

It is an amenable number.

1000413144 is an abundant number, since it is smaller than the sum of its proper divisors (1868422176).

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

1000413144 is a wasteful number, since it uses less digits than its factorization.

1000413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817360 (or 817353 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1000413144 is about 31629.3083073279. The cubic root of 1000413144 is about 1000.1376957057.

Adding to 1000413144 its reverse (4413140001), we get a palindrome (5413553145).

The spelling of 1000413144 in words is "one billion, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 817331 1634662 2451993 3269324 4903986 6538648 7355979 9807972 13894627 14711958 19615944 27789254 29423916 41683881 55578508 58847832 83367762 111157016 125051643 166735524 250103286 333471048 500206572 1000413144