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4126012440 = 2335113125767
BaseRepresentation
bin1111010111101101…
…1111010000011000
3101122112211011000120
43311323133100120
531422224344230
61521230433240
7204150345534
oct36573372030
911575734016
104126012440
111828032240
12971962820
13509a721a4
142b1d96bc4
15192367310
hexf5edf418

4126012440 has 64 divisors (see below), whose sum is σ = 13503317760. Its totient is φ = 1000245120.

The previous prime is 4126012433. The next prime is 4126012463. The reversal of 4126012440 is 442106214.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4126012440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561564 + ... + 1564203.

It is an arithmetic number, because the mean of its divisors is an integer number (210989340).

Almost surely, 24126012440 is an apocalyptic number.

4126012440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4126012440 is an abundant number, since it is smaller than the sum of its proper divisors (9377305320).

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

4126012440 is a wasteful number, since it uses less digits than its factorization.

4126012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125792 (or 3125788 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4126012440 is about 64234.0442444659. The cubic root of 4126012440 is about 1603.8983638023.

Adding to 4126012440 its reverse (442106214), we get a palindrome (4568118654).

The spelling of 4126012440 in words is "four billion, one hundred twenty-six million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3125767 6251534 9377301 12503068 15628835 18754602 25006136 31257670 34383437 37509204 46886505 62515340 68766874 75018408 93773010 103150311 125030680 137533748 171917185 187546020 206300622 275067496 343834370 375092040 412601244 515751555 687668740 825202488 1031503110 1375337480 2063006220 4126012440