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1145445040 = 2451731101269
BaseRepresentation
bin100010001000110…
…0001101010110000
32221211100122012101
41010101201222300
54321213220130
6305354510144
740246056625
oct10421415260
92854318171
101145445040
115386348a3
1227b735354
13153402a3c
14ac1ac34c
156a8611ca
hex44461ab0

1145445040 has 160 divisors (see below), whose sum is σ = 2950525440. Its totient is φ = 411648000.

The previous prime is 1145445031. The next prime is 1145445043. The reversal of 1145445040 is 405445411.

It is not an unprimeable number, because it can be changed into a prime (1145445043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4258026 + ... + 4258294.

It is an arithmetic number, because the mean of its divisors is an integer number (18440784).

Almost surely, 21145445040 is an apocalyptic number.

1145445040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475262720).

1145445040 is an abundant number, since it is smaller than the sum of its proper divisors (1805080400).

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

1145445040 is a wasteful number, since it uses less digits than its factorization.

1145445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 1145445040 is about 33844.4240606928. The cubic root of 1145445040 is about 1046.3044811372.

The spelling of 1145445040 in words is "one billion, one hundred forty-five million, four hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 101 124 136 155 170 202 248 269 272 310 340 404 496 505 527 538 620 680 808 1010 1054 1076 1240 1345 1360 1616 1717 2020 2108 2152 2480 2635 2690 3131 3434 4040 4216 4304 4573 5270 5380 6262 6868 8080 8339 8432 8585 9146 10540 10760 12524 13736 15655 16678 17170 18292 21080 21520 22865 25048 27169 27472 31310 33356 34340 36584 41695 42160 45730 50096 53227 54338 62620 66712 68680 73168 83390 91460 106454 108676 125240 133424 135845 137360 141763 166780 182920 212908 217352 250480 266135 271690 283526 333560 365840 425816 434704 461873 532270 543380 567052 667120 708815 842239 851632 923746 1064540 1086760 1134104 1417630 1684478 1847492 2129080 2173520 2268208 2309365 2835260 3368956 3694984 4211195 4258160 4618730 5670520 6737912 7389968 8422390 9237460 11341040 13475824 14318063 16844780 18474920 28636126 33689560 36949840 57272252 67379120 71590315 114544504 143180630 229089008 286361260 572722520 1145445040