Search a number
-
+
42211342432 = 257245758907
BaseRepresentation
bin100111010011111111…
…011111100001100000
311000221210002101001001
4213103333133201200
51142422100424212
631220331321344
73023015330200
oct472377374140
9130853071031
1042211342432
11169a1225376
1282205b0254
133c992557cc
14208615c400
151170be4657
hex9d3fdf860

42211342432 has 72 divisors (see below), whose sum is σ = 96884691624. Its totient is φ = 18050683392.

The previous prime is 42211342409. The next prime is 42211342451. The reversal of 42211342432 is 23424311224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42211342432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687123 + ... + 746029.

It is an arithmetic number, because the mean of its divisors is an integer number (1345620717).

Almost surely, 242211342432 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 42211342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48442345812).

42211342432 is an abundant number, since it is smaller than the sum of its proper divisors (54673349192).

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

42211342432 is a wasteful number, since it uses less digits than its factorization.

42211342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59388 (or 59373 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 42211342432 its reverse (23424311224), we get a palindrome (65635653656).

The spelling of 42211342432 in words is "forty-two billion, two hundred eleven million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 457 784 914 1568 1828 3199 3656 6398 7312 12796 14624 22393 25592 44786 51184 58907 89572 102368 117814 179144 235628 358288 412349 471256 716576 824698 942512 1649396 1885024 2886443 3298792 5772886 6597584 11545772 13195168 23091544 26920499 46183088 53840998 92366176 107681996 188443493 215363992 376886986 430727984 753773972 861455968 1319104451 1507547944 2638208902 3015095888 5276417804 6030191776 10552835608 21105671216 42211342432