Search a number
-
+
20004020442 = 2337311707119
BaseRepresentation
bin10010101000010101…
…010010000011011010
31220122010002112021000
4102220111102003122
5311432012123232
613104551325430
71305501240210
oct225025220332
956563075230
1020004020442
1185358256aa
123a63380876
131b6a4848b3
14d7aa50cb0
157c12b227c
hex4a85520da

20004020442 has 64 divisors (see below), whose sum is σ = 52442726400. Its totient is φ = 5531062320.

The previous prime is 20004020431. The next prime is 20004020467. The reversal of 20004020442 is 24402040002.

20004020442 is a `hidden beast` number, since 200 + 0 + 4 + 0 + 20 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841842 + ... + 865277.

It is an arithmetic number, because the mean of its divisors is an integer number (819417600).

Almost surely, 220004020442 is an apocalyptic number.

20004020442 is an abundant number, since it is smaller than the sum of its proper divisors (32438705958).

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

20004020442 is a wasteful number, since it uses less digits than its factorization.

20004020442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707168 (or 1707162 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20004020442 its reverse (24402040002), we get a palindrome (44406060444).

The spelling of 20004020442 in words is "twenty billion, four million, twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 1707119 3414238 5121357 10242714 11949833 15364071 23899666 30728142 35849499 46092213 52920689 71698998 92184426 105841378 107548497 158762067 215096994 317524134 322645491 370444823 476286201 645290982 740889646 952572402 1111334469 1428858603 2222668938 2857717206 3334003407 6668006814 10002010221 20004020442