Search a number
-
+
4233202400028 = 22371718311619021
BaseRepresentation
bin111101100110011110100…
…001100111101100011100
3112222200122011011001210010
4331212132201213230130
51023324044303300103
613000412322443220
7614560462463160
oct75463641475434
915880564131703
104233202400028
111392322439398
1258450ab03510
1324925caaba54
14108c60cbaca0
15751ae27c903
hex3d99e867b1c

4233202400028 has 96 divisors (see below), whose sum is σ = 11959106761728. Its totient is φ = 1137717734400.

The previous prime is 4233202400027. The next prime is 4233202400051. The reversal of 4233202400028 is 8200042023324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4233202399968 and 4233202400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233202400027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805158 + ... + 3424178.

It is an arithmetic number, because the mean of its divisors is an integer number (124574028768).

Almost surely, 24233202400028 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 4233202400028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979553380864).

4233202400028 is an abundant number, since it is smaller than the sum of its proper divisors (7725904361700).

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

4233202400028 is a wasteful number, since it uses less digits than its factorization.

4233202400028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620883 (or 1620881 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 4233202400028 in words is "four trillion, two hundred thirty-three billion, two hundred two million, four hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1831 3662 5493 7324 10986 12817 21972 25634 31127 38451 51268 62254 76902 93381 124508 153804 186762 217889 373524 435778 653667 871556 1307334 1619021 2614668 3238042 4857063 6476084 9714126 11333147 19428252 22666294 27523357 33999441 45332588 55046714 67998882 82570071 110093428 135997764 165140142 192663499 330280284 385326998 577990497 770653996 1155980994 2311961988 2964427451 5928854902 8893282353 11857709804 17786564706 20750992157 35573129412 41501984314 50395266667 62252976471 83003968628 100790533334 124505952942 151185800001 201581066668 249011905884 302371600002 352766866669 604743200004 705533733338 1058300600007 1411067466676 2116601200014 4233202400028