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1039142412 = 2233721117851
BaseRepresentation
bin111101111100000…
…000111000001100
32200102022220102000
4331330000320030
54112010024122
6251040232300
734515364500
oct7574007014
92612286360
101039142412
11493629090
1225000b690
13137393589
149c01a300
15613640ac
hex3df00e0c

1039142412 has 144 divisors (see below), whose sum is σ = 3419015040. Its totient is φ = 269892000.

The previous prime is 1039142399. The next prime is 1039142437. The reversal of 1039142412 is 2142419301.

It is a happy number.

1039142412 is a `hidden beast` number, since 103 + 9 + 142 + 412 = 666.

It is a super-3 number, since 3×10391424123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 49287 + ... + 67137.

It is an arithmetic number, because the mean of its divisors is an integer number (23743160).

Almost surely, 21039142412 is an apocalyptic number.

1039142412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709507520).

1039142412 is an abundant number, since it is smaller than the sum of its proper divisors (2379872628).

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

1039142412 is a wasteful number, since it uses less digits than its factorization.

1039142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17889 (or 17874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1039142412 is about 32235.7319135149. The cubic root of 1039142412 is about 1012.8808421914.

The spelling of 1039142412 in words is "one billion, thirty-nine million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 17851 19404 29106 35702 53553 58212 71404 107106 124957 160659 196361 214212 249914 321318 374871 392722 481977 499828 589083 642636 749742 785444 874699 963954 1124613 1178166 1374527 1499484 1749398 1767249 1927908 2249226 2356332 2624097 2749054 3373839 3498796 3534498 4123581 4498452 5248194 5301747 5498108 6747678 7068996 7872291 8247162 9621689 10496388 10603494 12370743 13495356 15744582 16494324 19243378 21206988 23616873 24741486 28865067 31489164 37112229 38486756 47233746 49482972 57730134 74224458 86595201 94467492 115460268 148448916 173190402 259785603 346380804 519571206 1039142412