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424132233440 = 25526107101537
BaseRepresentation
bin1100010110000000100…
…00000100100011100000
31111112202111121211212112
412023000100010203200
523422110322432230
6522502121414452
742433251333506
oct6130020044340
91445674554775
10424132233440
11153967652583
126a24903a428
1330cc3155906
14167571c0676
15b075309d95
hex62c04048e0

424132233440 has 48 divisors (see below), whose sum is σ = 1002060651312. Its totient is φ = 169644724224.

The previous prime is 424132233367. The next prime is 424132233449. The reversal of 424132233440 is 44332231424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 424132233397 and 424132233406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424132233449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4126352 + ... + 4227888.

It is an arithmetic number, because the mean of its divisors is an integer number (20876263569).

Almost surely, 2424132233440 is an apocalyptic number.

424132233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424132233440 is an abundant number, since it is smaller than the sum of its proper divisors (577928417872).

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

424132233440 is a wasteful number, since it uses less digits than its factorization.

424132233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127659 (or 127651 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 424132233440 its reverse (44332231424), we get a palindrome (468464464864).

The spelling of 424132233440 in words is "four hundred twenty-four billion, one hundred thirty-two million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26107 52214 101537 104428 130535 203074 208856 261070 406148 417712 507685 522140 812296 835424 1015370 1044280 1624592 2030740 2088560 3249184 4061480 4177120 8122960 16245920 2650826459 5301652918 10603305836 13254132295 21206611672 26508264590 42413223344 53016529180 84826446688 106033058360 212066116720 424132233440