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242004420420 = 223575310871717
BaseRepresentation
bin1110000101100010010…
…1100110011101000100
3212010122201000022220020
43201120211212131010
512431111112423140
6303101510335140
723325044430060
oct3413045463504
9763581008806
10242004420420
11936a7205a44
123aa9a95a4b0
1319a89735b09
14b9da978aa0
156465de36d0
hex3858966744

242004420420 has 96 divisors (see below), whose sum is σ = 789025805568. Its totient is φ = 54271606272.

The previous prime is 242004420323. The next prime is 242004420439. The reversal of 242004420420 is 24024400242.

It is a super-2 number, since 2×2420044204202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5413599 + ... + 5458118.

It is an arithmetic number, because the mean of its divisors is an integer number (8219018808).

Almost surely, 2242004420420 is an apocalyptic number.

242004420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242004420420 is an abundant number, since it is smaller than the sum of its proper divisors (547021385148).

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

242004420420 is a wasteful number, since it uses less digits than its factorization.

242004420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871789 (or 10871787 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242004420420 its reverse (24024400242), we get a palindrome (266028820662).

The spelling of 242004420420 in words is "two hundred forty-two billion, four million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 10871717 21743434 32615151 43486868 54358585 65230302 76102019 108717170 130460604 152204038 163075755 217434340 228306057 304408076 326151510 380510095 456612114 576201001 652303020 761020190 913224228 1141530285 1152402002 1522040380 1728603003 2283060570 2304804004 2881005005 3457206006 4033407007 4566121140 5762010010 6914412012 8066814014 8643015015 11524020020 12100221021 16133628028 17286030030 20167035035 24200442042 34572060060 40334070070 48400884084 60501105105 80668140140 121002210210 242004420420