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4014045150 = 2352294432083
BaseRepresentation
bin1110111101000001…
…0111011111011110
3101100202010121202220
43233100113133132
531210043421100
61502150530210
7201320551353
oct35720273736
911322117686
104014045150
11177a907595
12940366966
134bc7cb55b
142a116c62a
151875ebaa0
hexef4177de

4014045150 has 96 divisors (see below), whose sum is σ = 10326303360. Its totient is φ = 1030673280.

The previous prime is 4014045143. The next prime is 4014045193. The reversal of 4014045150 is 515404104.

It is a happy number.

It is a super-2 number, since 2×40140451502 = 32225116932477045000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014045150.

It is a congruent number.

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, 1926009 + ... + 1928091.

It is an arithmetic number, because the mean of its divisors is an integer number (107565660).

Almost surely, 24014045150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014045150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163151680).

4014045150 is an abundant number, since it is smaller than the sum of its proper divisors (6312258210).

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

4014045150 is a wasteful number, since it uses less digits than its factorization.

4014045150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4014045150 is about 63356.4925639038. The cubic root of 4014045150 is about 1589.2568221030.

Adding to 4014045150 its reverse (515404104), we get a palindrome (4529449254).

The spelling of 4014045150 in words is "four billion, fourteen million, forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 443 725 870 886 1329 1450 2083 2175 2215 2658 4166 4350 4430 6249 6645 10415 11075 12498 12847 13290 20830 22150 25694 31245 33225 38541 52075 60407 62490 64235 66450 77082 104150 120814 128470 156225 181221 192705 302035 312450 321175 362442 385410 604070 642350 906105 922769 963525 1510175 1812210 1845538 1927050 2768307 3020350 4530525 4613845 5536614 9061050 9227690 13841535 23069225 26760301 27683070 46138450 53520602 69207675 80280903 133801505 138415350 160561806 267603010 401404515 669007525 802809030 1338015050 2007022575 4014045150