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4242644462424 = 233375854381611
BaseRepresentation
bin111101101111010001010…
…100001110101101011000
3120000121000012001112101210
4331233101110032231120
51024002413440244144
613005013254543120
7615343453623654
oct75572124165530
916017005045353
104242644462424
111396328214645
12586305067aa0
1324a106009b14
141094b8cc5a64
157556317aab9
hex3dbd150eb58

4242644462424 has 64 divisors (see below), whose sum is σ = 10893595875840. Its totient is φ = 1375952434560.

The previous prime is 4242644462393. The next prime is 4242644462467.

4242644462424 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51945379 + ... + 52026989.

It is an arithmetic number, because the mean of its divisors is an integer number (170212435560).

Almost surely, 24242644462424 is an apocalyptic number.

It is an amenable number.

4242644462424 is an abundant number, since it is smaller than the sum of its proper divisors (6650951413416).

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

4242644462424 is a wasteful number, since it uses less digits than its factorization.

4242644462424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140200 (or 140196 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 48.

The spelling of 4242644462424 in words is "four trillion, two hundred forty-two billion, six hundred forty-four million, four hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 58543 81611 117086 163222 175629 234172 244833 326444 351258 468344 489666 652888 702516 979332 1405032 1958664 2166091 3019607 4332182 6039214 6498273 8664364 9058821 12078428 12996546 17328728 18117642 24156856 25993092 36235284 51986184 72470568 4777752773 9555505546 14333258319 19111011092 28666516638 38222022184 57333033276 114666066552 176776852601 353553705202 530330557803 707107410404 1060661115606 1414214820808 2121322231212 4242644462424