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342112140040 = 2351143107168991
BaseRepresentation
bin1001111101001110111…
…10001111101100001000
31012201001101100101200111
410332213132033230020
521101121201440130
6421055242244104
733500600131666
oct4764736175410
91181041311614
10342112140040
111220a8425420
12563787b6634
132635165c978
14127b6039c36
158d7480a02a
hex4fa778fb08

342112140040 has 128 divisors (see below), whose sum is σ = 867293982720. Its totient is φ = 120374956800.

The previous prime is 342112140023. The next prime is 342112140047. The reversal of 342112140040 is 40041211243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 342112139993 and 342112140020.

It is not an unprimeable number, because it can be changed into a prime (342112140047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1939945 + ... + 2108935.

It is an arithmetic number, because the mean of its divisors is an integer number (6775734240).

Almost surely, 2342112140040 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 342112140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433646991360).

342112140040 is an abundant number, since it is smaller than the sum of its proper divisors (525181842680).

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

342112140040 is a wasteful number, since it uses less digits than its factorization.

342112140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169163 (or 169159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 342112140040 its reverse (40041211243), we get a palindrome (382153351283).

The spelling of 342112140040 in words is "three hundred forty-two billion, one hundred twelve million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 107 110 172 214 215 220 344 428 430 440 473 535 856 860 946 1070 1177 1720 1892 2140 2354 2365 3784 4280 4601 4708 4730 5885 9202 9416 9460 11770 18404 18920 23005 23540 36808 46010 47080 50611 92020 101222 168991 184040 202444 253055 337982 404888 506110 675964 844955 1012220 1351928 1689910 1858901 2024440 3379820 3717802 6759640 7266613 7435604 9294505 14533226 14871208 18082037 18589010 29066452 36164074 36333065 37178020 58132904 72328148 72666130 74356040 79932743 90410185 144656296 145332260 159865486 180820370 198902407 290664520 319730972 361640740 397804814 399663715 639461944 723281480 777527591 795609628 799327430 994512035 1555055182 1591219256 1598654860 1989024070 3110110364 3197309720 3887637955 3978048140 6220220728 7775275910 7956096280 8552803501 15550551820 17105607002 31101103640 34211214004 42764017505 68422428008 85528035010 171056070020 342112140040