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4059229140 = 223456141077
BaseRepresentation
bin1111000111110010…
…1110101111010100
3101110220011012120000
43301330232233110
531303130313030
61510443211300
7202406610201
oct36174565724
911426135500
104059229140
1117a3368a2a
12953516b30
134c8c8b845
142a7170ca8
1518b574860
hexf1f2ebd4

4059229140 has 120 divisors (see below), whose sum is σ = 12943020552. Its totient is φ = 1064689920.

The previous prime is 4059229133. The next prime is 4059229157. The reversal of 4059229140 is 419229504.

4059229140 is a `hidden beast` number, since 4 + 0 + 592 + 29 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318194244 + 3741034896 = 17838^2 + 61164^2 .

It is a super-2 number, since 2×40592291402 = 32954682422050279200, which contains 22 as substring.

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 = 4059229095 and 4059229104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78282 + ... + 119358.

Almost surely, 24059229140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4059229140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471510276).

4059229140 is an abundant number, since it is smaller than the sum of its proper divisors (8883791412).

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

4059229140 is a wasteful number, since it uses less digits than its factorization.

4059229140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41159 (or 41148 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4059229140 is about 63712.0800162732. The cubic root of 4059229140 is about 1595.1977283917.

The spelling of 4059229140 in words is "four billion, fifty-nine million, two hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 244 270 305 324 366 405 540 549 610 732 810 915 1098 1220 1620 1647 1830 2196 2745 3294 3660 4941 5490 6588 8235 9882 10980 16470 19764 24705 32940 41077 49410 82154 98820 123231 164308 205385 246462 369693 410770 492924 616155 739386 821540 1109079 1232310 1478772 1848465 2218158 2464620 2505697 3327237 3696930 4436316 5011394 5545395 6654474 7393860 7517091 10022788 11090790 12528485 13308948 15034182 16636185 22181580 22551273 25056970 30068364 33272370 37585455 45102546 50113940 66544740 67653819 75170910 90205092 112756365 135307638 150341820 202961457 225512730 270615276 338269095 405922914 451025460 676538190 811845828 1014807285 1353076380 2029614570 4059229140