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1145345040 = 243257227251
BaseRepresentation
bin100010001000100…
…1001010000010000
32221211011120000200
41010101021100100
54321202020130
6305352415200
740245162240
oct10421112020
92854146020
101145345040
11538576754
1227b6a7500
13153399378
14ac183b20
156a841760
hex44449410

1145345040 has 120 divisors (see below), whose sum is σ = 4395962688. Its totient is φ = 261792000.

The previous prime is 1145345011. The next prime is 1145345087. The reversal of 1145345040 is 405435411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1145344995 and 1145345013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108586 + ... + 118665.

Almost surely, 21145345040 is an apocalyptic number.

1145345040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1145345040 is an abundant number, since it is smaller than the sum of its proper divisors (3250617648).

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

1145345040 is a wasteful number, since it uses less digits than its factorization.

1145345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227277 (or 227268 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1145345040 is about 33842.9466802168. The cubic root of 1145345040 is about 1046.2740319844.

The spelling of 1145345040 in words is "one billion, one hundred forty-five million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 227251 454502 681753 909004 1136255 1363506 1590757 1818008 2045259 2272510 2727012 3181514 3408765 3636016 4090518 4545020 4772271 5454024 6363028 6817530 7953785 8181036 9090040 9544542 10226295 10908048 12726056 13635060 14316813 15907570 16362072 18180080 19089084 20452590 23861355 25452112 27270120 28633626 31815140 32724144 38178168 40905180 47722710 54540240 57267252 63630280 71584065 76356336 81810360 95445420 114534504 127260560 143168130 163620720 190890840 229069008 286336260 381781680 572672520 1145345040