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1045145040 = 243517256163
BaseRepresentation
bin111110010010111…
…010010111010000
32200211121212110120
4332102322113100
54120024120130
6251413030240
734620405042
oct7622722720
92624555416
101045145040
11496a58a35
12252025380
131386b5824
149cb3da92
1561b4c910
hex3e4ba5d0

1045145040 has 80 divisors (see below), whose sum is σ = 3430548288. Its totient is φ = 262309888.

The previous prime is 1045145009. The next prime is 1045145053. The reversal of 1045145040 is 405415401.

It is a happy number.

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

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 1045145040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124002 + ... + 132161.

Almost surely, 21045145040 is an apocalyptic number.

1045145040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045145040 is an abundant number, since it is smaller than the sum of its proper divisors (2385403248).

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

1045145040 is a wasteful number, since it uses less digits than its factorization.

1045145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256196 (or 256190 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1045145040 is about 32328.7030361566. The cubic root of 1045145040 is about 1014.8274080260.

The spelling of 1045145040 in words is "one billion, forty-five million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 256163 512326 768489 1024652 1280815 1536978 2049304 2561630 3073956 3842445 4098608 4354771 5123260 6147912 7684890 8709542 10246520 12295824 13064313 15369780 17419084 20493040 21773855 26128626 30739560 34838168 43547710 52257252 61479120 65321565 69676336 87095420 104514504 130643130 174190840 209029008 261286260 348381680 522572520 1045145040