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1139914440 = 233257264621
BaseRepresentation
bin100001111110001…
…1011011011001000
32221102221122122100
41003330123123020
54313304230230
6305040153400
740151053500
oct10374333310
92842848570
101139914440
115354a7655
12279908860
131522175b2
14ab56ca00
156a11c660
hex43f1b6c8

1139914440 has 144 divisors (see below), whose sum is σ = 4309641180. Its totient is φ = 260547840.

The previous prime is 1139914429. The next prime is 1139914441. The reversal of 1139914440 is 444199311.

1139914440 is a `hidden beast` number, since 113 + 99 + 14 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 958150116 + 181764324 = 30954^2 + 13482^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1139914395 and 1139914404.

It is not an unprimeable number, because it can be changed into a prime (1139914441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14671 + ... + 49950.

Almost surely, 21139914440 is an apocalyptic number.

1139914440 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 1139914440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154820590).

1139914440 is an abundant number, since it is smaller than the sum of its proper divisors (3169726740).

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

1139914440 is a wasteful number, since it uses less digits than its factorization.

1139914440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64652 (or 64638 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1139914440 is about 33762.6189742443. The cubic root of 1139914440 is about 1044.6177917432.

The spelling of 1139914440 in words is "one billion, one hundred thirty-nine million, nine hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 64621 129242 193863 258484 323105 387726 452347 516968 581589 646210 775452 904694 969315 1163178 1292420 1357041 1550904 1809388 1938630 2261735 2326356 2584840 2714082 2907945 3166429 3618776 3877260 4071123 4523470 4652712 5428164 5815890 6332858 6785205 7754520 8142246 9046940 9499287 10856328 11631780 12665716 13570410 15832145 16284492 18093880 18998574 20355615 23263560 25331432 27140820 28497861 31664290 32568984 37997148 40711230 47496435 54281640 56995722 63328580 75994296 81422460 94992870 113991444 126657160 142489305 162844920 189985740 227982888 284978610 379971480 569957220 1139914440