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4122014424 = 23311101154591
BaseRepresentation
bin1111010110110000…
…1111001011011000
3101122021022000202220
43311230033023120
531420213430144
61521005024040
7204101354523
oct36554171330
911567260686
104122014424
1118258514a0
12970555020
13508ca24b8
142b1635bba
15191d27919
hexf5b0f2d8

4122014424 has 64 divisors (see below), whose sum is σ = 11353236480. Its totient is φ = 1236720000.

The previous prime is 4122014389. The next prime is 4122014431. The reversal of 4122014424 is 4244102214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4122014394 and 4122014403.

It is a congruent number.

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, 50632 + ... + 103959.

It is an arithmetic number, because the mean of its divisors is an integer number (177394320).

Almost surely, 24122014424 is an apocalyptic number.

4122014424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4122014424 is an abundant number, since it is smaller than the sum of its proper divisors (7231222056).

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

4122014424 is a wasteful number, since it uses less digits than its factorization.

4122014424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154712 (or 154708 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4122014424 is about 64202.9160085428. The cubic root of 4122014424 is about 1603.3801488840.

Adding to 4122014424 its reverse (4244102214), we get a palindrome (8366116638).

The spelling of 4122014424 in words is "four billion, one hundred twenty-two million, fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 154591 309182 463773 618364 927546 1236728 1700501 1855092 3401002 3710184 5101503 6802004 10203006 13604008 15613691 20406012 31227382 40812024 46841073 62454764 93682146 124909528 171750601 187364292 343501202 374728584 515251803 687002404 1030503606 1374004808 2061007212 4122014424