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4311413412 = 2232923113781
BaseRepresentation
bin1000000001111101…
…01111001010100100
3102010110200111100020
410000332233022210
532312210212122
61551452315140
7211561260255
oct40076571244
912113614306
104311413412
111912753789
12a03a72ab0
135392b74c7
142cc858b2c
151a378ac5c
hex100faf2a4

4311413412 has 72 divisors (see below), whose sum is σ = 10755693312. Its totient is φ = 1342723200.

The previous prime is 4311413363. The next prime is 4311413423. The reversal of 4311413412 is 2143141134.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305962 + ... + 319742.

Almost surely, 24311413412 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 4311413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377846656).

4311413412 is an abundant number, since it is smaller than the sum of its proper divisors (6444279900).

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

4311413412 is a wasteful number, since it uses less digits than its factorization.

4311413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13877 (or 13846 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4311413412 is about 65661.3540219816. The cubic root of 4311413412 is about 1627.5707993485.

Adding to 4311413412 its reverse (2143141134), we get a palindrome (6454554546).

The spelling of 4311413412 in words is "four billion, three hundred eleven million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 841 899 1682 1798 2523 2697 3364 3596 5046 5394 10092 10788 13781 26071 27562 41343 52142 55124 78213 82686 104284 156426 165372 312852 399649 427211 799298 854422 1198947 1281633 1598596 1708844 2397894 2563266 4795788 5126532 11589821 12389119 23179642 24778238 34769463 37167357 46359284 49556476 69538926 74334714 139077852 148669428 359284451 718568902 1077853353 1437137804 2155706706 4311413412