Search a number
-
+
143050040232 = 2331129101184997
BaseRepresentation
bin1000010100111001110…
…0100110001110101000
3111200020101212222101020
42011032130212032220
54320431302241412
6145414414452440
713222625164611
oct2051634461650
9450211788336
10143050040232
1155738022550
1223883204120
1310649747028
146cd073cc08
153ac389c18c
hex214e7263a8

143050040232 has 128 divisors (see below), whose sum is σ = 407587593600. Its totient is φ = 41439104000.

The previous prime is 143050040213. The next prime is 143050040257. The reversal of 143050040232 is 232040050341.

143050040232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1430500402322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680758 + ... + 865754.

It is an arithmetic number, because the mean of its divisors is an integer number (3184278075).

Almost surely, 2143050040232 is an apocalyptic number.

143050040232 is a gapful number since it is divisible by the number (12) 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 143050040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793796800).

143050040232 is an abundant number, since it is smaller than the sum of its proper divisors (264537553368).

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

143050040232 is a wasteful number, since it uses less digits than its factorization.

143050040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185147 (or 185143 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 143050040232 its reverse (232040050341), we get a palindrome (375090090573).

The spelling of 143050040232 in words is "one hundred forty-three billion, fifty million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 101 116 132 174 202 232 264 303 319 348 404 606 638 696 808 957 1111 1212 1276 1914 2222 2424 2552 2929 3333 3828 4444 5858 6666 7656 8787 8888 11716 13332 17574 23432 26664 32219 35148 64438 70296 96657 128876 184997 193314 257752 369994 386628 554991 739988 773256 1109982 1479976 2034967 2219964 4069934 4439928 5364913 6104901 8139868 10729826 12209802 16094739 16279736 18684697 21459652 24419604 32189478 37369394 42919304 48839208 56054091 59014043 64378956 74738788 112108182 118028086 128757912 149477576 177042129 205531667 224216364 236056172 354084258 411063334 448432728 472112344 541856213 616595001 708168516 822126668 1083712426 1233190002 1416337032 1625568639 1644253336 2167424852 2466380004 3251137278 4334849704 4932760008 5960418343 6502274556 11920836686 13004549112 17881255029 23841673372 35762510058 47683346744 71525020116 143050040232