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134412102440 = 23571175757649
BaseRepresentation
bin111110100101110010…
…1011110101100101000
3110211221102002021100022
41331023211132230220
54200233444234230
6141425325500012
712465600006530
oct1751345365450
9424842067308
10134412102440
1152005144a90
1222072411608
13c8a0cb4335
1467114544c0
15376a38d1e5
hex1f4b95eb28

134412102440 has 128 divisors (see below), whose sum is σ = 377556768000. Its totient is φ = 41838612480.

The previous prime is 134412102431. The next prime is 134412102457. The reversal of 134412102440 is 44201214431.

134412102440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1344121024402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302736 + ... + 2360384.

It is an arithmetic number, because the mean of its divisors is an integer number (2949662250).

Almost surely, 2134412102440 is an apocalyptic number.

134412102440 is a gapful number since it is divisible by the number (10) 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 134412102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188778384000).

134412102440 is an abundant number, since it is smaller than the sum of its proper divisors (243144665560).

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

134412102440 is a wasteful number, since it uses less digits than its factorization.

134412102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58435 (or 58431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 134412102440 its reverse (44201214431), we get a palindrome (178613316871).

The spelling of 134412102440 in words is "one hundred thirty-four billion, four hundred twelve million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 757 770 1514 1540 3028 3080 3785 5299 6056 7570 8327 10598 15140 16654 21196 26495 30280 33308 41635 42392 52990 57649 58289 66616 83270 105980 115298 116578 166540 211960 230596 233156 288245 291445 333080 403543 461192 466312 576490 582890 634139 807086 1152980 1165780 1268278 1614172 2017715 2305960 2331560 2536556 3170695 3228344 4035430 4438973 5073112 6341390 8070860 8877946 12682780 16141720 17755892 22194865 25365560 35511784 43640293 44389730 87280586 88779460 174561172 177558920 218201465 305482051 349122344 436402930 480043223 610964102 872805860 960086446 1221928204 1527410255 1745611720 1920172892 2400216115 2443856408 3054820510 3360302561 3840345784 4800432230 6109641020 6720605122 9600864460 12219282040 13441210244 16801512805 19201728920 26882420488 33603025610 67206051220 134412102440