Search a number
-
+
42351015300 = 223521115184991
BaseRepresentation
bin100111011100010100…
…010011010110000100
311001022111220111012020
4213130110103112010
51143213324442200
631242241123140
73026332455546
oct473424232604
9131274814166
1042351015300
1116a630536a0
12825b3294b0
133cbc179c89
14209a919696
15117d0d3ea0
hex9dc513584

42351015300 has 144 divisors (see below), whose sum is σ = 134562054144. Its totient is φ = 10198800000.

The previous prime is 42351015277. The next prime is 42351015323. The reversal of 42351015300 is 351015324.

It is an interprime number because it is at equal distance from previous prime (42351015277) and next prime (42351015323).

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, 455805 + ... + 540795.

Almost surely, 242351015300 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 42351015300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67281027072).

42351015300 is an abundant number, since it is smaller than the sum of its proper divisors (92211038844).

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

42351015300 is a wasteful number, since it uses less digits than its factorization.

42351015300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85170 (or 85163 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 42351015300 its sum of digits (24), we get a palindrome (42351015324).

The spelling of 42351015300 in words is "forty-two billion, three hundred fifty-one million, fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 151 165 220 275 300 302 330 453 550 604 660 755 825 906 1100 1510 1650 1661 1812 2265 3020 3300 3322 3775 4530 4983 6644 7550 8305 9060 9966 11325 15100 16610 19932 22650 24915 33220 41525 45300 49830 83050 84991 99660 124575 166100 169982 249150 254973 339964 424955 498300 509946 849910 934901 1019892 1274865 1699820 1869802 2124775 2549730 2804703 3739604 4249550 4674505 5099460 5609406 6374325 8499100 9349010 11218812 12748650 12833641 14023515 18698020 23372525 25497300 25667282 28047030 38500923 46745050 51334564 56094060 64168205 70117575 77001846 93490100 128336410 140235150 141170051 154003692 192504615 256672820 280470300 282340102 320841025 385009230 423510153 564680204 641682050 705850255 770018460 847020306 962523075 1283364100 1411700510 1694040612 1925046150 2117550765 2823401020 3529251275 3850092300 4235101530 7058502550 8470203060 10587753825 14117005100 21175507650 42351015300