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42001234020 = 2233561220903
BaseRepresentation
bin100111000111011101…
…111111100001100100
311000102010201202111000
4213013131333201210
51142004303442040
631143424113300
73014554412214
oct470735774144
9130363652430
1042001234020
11168a3668859
128182165830
133c6486c4c5
1420662a8244
15115c540130
hex9c777f864

42001234020 has 144 divisors (see below), whose sum is σ = 132854117760. Its totient is φ = 11016190080.

The previous prime is 42001234003. The next prime is 42001234049. The reversal of 42001234020 is 2043210024.

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

It is a junction number, because it is equal to n+sod(n) for n = 42001233984 and 42001234002.

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, 1998889 + ... + 2019791.

It is an arithmetic number, because the mean of its divisors is an integer number (922598040).

Almost surely, 242001234020 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 42001234020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66427058880).

42001234020 is an abundant number, since it is smaller than the sum of its proper divisors (90852883740).

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

42001234020 is a wasteful number, since it uses less digits than its factorization.

42001234020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043 (or 20974 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42001234020 its reverse (2043210024), we get a palindrome (44044444044).

The spelling of 42001234020 in words is "forty-two billion, one million, two hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 3721 5490 6588 7442 8235 10980 11163 14884 16470 18605 20903 22326 32940 33489 37210 41806 44652 55815 62709 66978 74420 83612 100467 104515 111630 125418 133956 167445 188127 200934 209030 223260 250836 313545 334890 376254 401868 418060 502335 564381 627090 669780 752508 940635 1004670 1128762 1254180 1275083 1881270 2009340 2257524 2550166 2821905 3762540 3825249 5100332 5643810 6375415 7650498 11287620 11475747 12750830 15300996 19126245 22951494 25501660 34427241 38252490 45902988 57378735 68854482 76504980 77780063 114757470 137708964 155560126 172136205 229514940 233340189 311120252 344272410 388900315 466680378 688544820 700020567 777800630 933360756 1166700945 1400041134 1555601260 2100061701 2333401890 2800082268 3500102835 4200123402 4666803780 7000205670 8400246804 10500308505 14000411340 21000617010 42001234020