Search a number
-
+
4134204414312 = 233746375306957
BaseRepresentation
bin111100001010010001110…
…010010001100101101000
3112122020002210222022201120
4330022101302101211220
51020213322312224222
612443121032215240
7604454303465130
oct74122162214550
915566083868646
104134204414312
111354340682475
125692a083a520
1323cb13a6328b
1410414cd6dac0
1572817ec115c
hex3c291c91968

4134204414312 has 64 divisors (see below), whose sum is σ = 11814562177920. Its totient is φ = 1180946304768.

The previous prime is 4134204414293. The next prime is 4134204414407. The reversal of 4134204414312 is 2134144024314.

It is a happy number.

It is a super-2 number, since 2×41342044143122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1874463 + ... + 3432494.

It is an arithmetic number, because the mean of its divisors is an integer number (184602534030).

Almost surely, 24134204414312 is an apocalyptic number.

4134204414312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4134204414312 is an abundant number, since it is smaller than the sum of its proper divisors (7680357763608).

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

4134204414312 is a wasteful number, since it uses less digits than its factorization.

4134204414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311610 (or 5311606 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4134204414312 its reverse (2134144024314), we get a palindrome (6268348438626).

The spelling of 4134204414312 in words is "four trillion, one hundred thirty-four billion, two hundred four million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4637 9274 13911 18548 27822 32459 37096 55644 64918 97377 111288 129836 194754 259672 389508 779016 5306957 10613914 15920871 21227828 31841742 37148699 42455656 63683484 74297398 111446097 127366968 148594796 222892194 297189592 445784388 891568776 24608359609 49216719218 73825078827 98433438436 147650157654 172258517263 196866876872 295300315308 344517034526 516775551789 590600630616 689034069052 1033551103578 1378068138104 2067102207156 4134204414312