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23049283140 = 223251376912809
BaseRepresentation
bin10101011101110110…
…000010011001000100
32012111100021220100100
4111131312002121010
5334201104030030
614331054044100
71444116450132
oct253566023104
965440256310
1023049283140
1198587a0634
1245731a9630
1322343561a0
14118927a752
158ed7e7360
hex55dd82644

23049283140 has 144 divisors (see below), whose sum is σ = 75398122800. Its totient is φ = 5665849344.

The previous prime is 23049283133. The next prime is 23049283151. The reversal of 23049283140 is 4138294032.

23049283140 is a `hidden beast` number, since 23 + 0 + 492 + 8 + 3 + 140 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3759406596 + 19289876544 = 61314^2 + 138888^2 .

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 = 23049283095 and 23049283104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793056 + ... + 1805864.

It is an arithmetic number, because the mean of its divisors is an integer number (523598075).

Almost surely, 223049283140 is an apocalyptic number.

23049283140 is a gapful number since it is divisible by the number (20) 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 23049283140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699061400).

23049283140 is an abundant number, since it is smaller than the sum of its proper divisors (52348839660).

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

23049283140 is a wasteful number, since it uses less digits than its factorization.

23049283140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13606 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23049283140 in words is "twenty-three billion, forty-nine million, two hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 769 780 1170 1538 2307 2340 3076 3845 4614 6921 7690 9228 9997 11535 12809 13842 15380 19994 23070 25618 27684 29991 34605 38427 39988 46140 49985 51236 59982 64045 69210 76854 89973 99970 115281 119964 128090 138420 149955 153708 166517 179946 192135 199940 230562 256180 299910 333034 359892 384270 449865 461124 499551 576405 599820 666068 768540 832585 899730 999102 1152810 1498653 1665170 1799460 1998204 2305620 2497755 2997306 3330340 4995510 5994612 7493265 9850121 9991020 14986530 19700242 29550363 29973060 39400484 49250605 59100726 88651089 98501210 118201452 128051573 147751815 177302178 197002420 256103146 295503630 354604356 384154719 443255445 512206292 591007260 640257865 768309438 886510890 1152464157 1280515730 1536618876 1773021780 1920773595 2304928314 2561031460 3841547190 4609856628 5762320785 7683094380 11524641570 23049283140