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42411443100 = 223521321151539
BaseRepresentation
bin100111011111111010…
…110100001110011100
311001110201121112112220
4213133322310032130
51143324312134400
631252240225340
73030665214105
oct473772641634
9131421545486
1042411443100
1116a94176a24
12827760b250
133ccb846880
1420a49693ac
15118356d7a0
hex9dfeb439c

42411443100 has 144 divisors (see below), whose sum is σ = 132778584960. Its totient is φ = 10390060800.

The previous prime is 42411443051. The next prime is 42411443119. The reversal of 42411443100 is 134411424.

It is a super-2 number, since 2×424114431002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 797131 + ... + 848669.

Almost surely, 242411443100 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 42411443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66389292480).

42411443100 is an abundant number, since it is smaller than the sum of its proper divisors (90367141860).

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

42411443100 is a wasteful number, since it uses less digits than its factorization.

42411443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51780 (or 51773 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42411443100 its reverse (134411424), we get a palindrome (42545854524).

The spelling of 42411443100 in words is "forty-two billion, four hundred eleven million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 211 260 300 325 390 422 633 650 780 844 975 1055 1266 1300 1950 2110 2532 2743 3165 3900 4220 5275 5486 6330 8229 10550 10972 12660 13715 15825 16458 21100 27430 31650 32916 41145 51539 54860 63300 68575 82290 103078 137150 154617 164580 205725 206156 257695 274300 309234 411450 515390 618468 670007 773085 822900 1030780 1288475 1340014 1546170 2010021 2576950 2680028 3092340 3350035 3865425 4020042 5153900 6700070 7730850 8040084 10050105 10874729 13400140 15461700 16750175 20100210 21749458 32624187 33500350 40200420 43498916 50250525 54373645 65248374 67000700 100501050 108747290 130496748 141371477 163120935 201002100 217494580 271868225 282742954 326241870 424114431 543736450 565485908 652483740 706857385 815604675 848228862 1087472900 1413714770 1631209350 1696457724 2120572155 2827429540 3262418700 3534286925 4241144310 7068573850 8482288620 10602860775 14137147700 21205721550 42411443100