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3412024312140 = 223456779310693
BaseRepresentation
bin110001101001101100011…
…111110100000101001100
3110002012000211200222210000
4301221230133310011030
5421400311210442030
611131243510244300
7501340100060523
oct61515437640514
913065024628700
103412024312140
1110a6038855824
12471334056690
131b99a2365b32
14bb2000054ba
155db4bab1860
hex31a6c7f414c

3412024312140 has 120 divisors (see below), whose sum is σ = 10705260036240. Its totient is φ = 909736002432.

The previous prime is 3412024312097. The next prime is 3412024312141. The reversal of 3412024312140 is 412134202143.

3412024312140 is a `hidden beast` number, since 3 + 4 + 1 + 202 + 4 + 312 + 140 = 666.

3412024312140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3412024312141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10826634 + ... + 11137326.

It is an arithmetic number, because the mean of its divisors is an integer number (89210500302).

Almost surely, 23412024312140 is an apocalyptic number.

3412024312140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412024312140 is an abundant number, since it is smaller than the sum of its proper divisors (7293235724100).

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

3412024312140 is a wasteful number, since it uses less digits than its factorization.

3412024312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317493 (or 317482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3412024312140 its reverse (412134202143), we get a palindrome (3824158514283).

The spelling of 3412024312140 in words is "three trillion, four hundred twelve billion, twenty-four million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6779 13558 20337 27116 33895 40674 61011 67790 81348 101685 122022 135580 183033 203370 244044 305055 310693 366066 406740 549099 610110 621386 732132 915165 932079 1098198 1220220 1242772 1553465 1830330 1864158 2196396 2745495 2796237 3106930 3660660 3728316 4660395 5490990 5592474 6213860 8388711 9320790 10981980 11184948 13981185 16777422 18641580 25166133 27962370 33554844 41943555 50332266 55924740 83887110 100664532 125830665 167774220 251661330 503322660 2106187847 4212375694 6318563541 8424751388 10530939235 12637127082 18955690623 21061878470 25274254164 31592817705 37911381246 42123756940 56867071869 63185635410 75822762492 94778453115 113734143738 126371270820 170601215607 189556906230 227468287476 284335359345 341202431214 379113812460 568670718690 682404862428 853006078035 1137341437380 1706012156070 3412024312140