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242021303210040 = 23352761737302829
BaseRepresentation
bin110111000001110111111001…
…110011100101000000111000
31011201221000021202011010012020
4313001313321303211000320
5223210234112110210130
62214423015104314440
7101656314340233444
oct6701677163450070
91151830252133166
10242021303210040
117012a7271a8212
1223189424912a20
13a507684785723
1443a9c71d8d824
151cea7e212ae10
hexdc1df9ce5038

242021303210040 has 64 divisors (see below), whose sum is σ = 726066638071200. Its totient is φ = 64538771661312.

The previous prime is 242021303210021. The next prime is 242021303210147. The reversal of 242021303210040 is 40012303120242.

It is a happy number.

It is a super-2 number, since 2×2420213032100402 (a number of 30 digits) contains 22 as substring.

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

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, 29489346 + ... + 36792174.

Almost surely, 2242021303210040 is an apocalyptic number.

242021303210040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242021303210040 is an abundant number, since it is smaller than the sum of its proper divisors (484045334861160).

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

242021303210040 is a wasteful number, since it uses less digits than its factorization.

242021303210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579016 (or 7579012 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242021303210040 its reverse (40012303120242), we get a palindrome (282033606330282).

The spelling of 242021303210040 in words is "two hundred forty-two trillion, twenty-one billion, three hundred three million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 276173 552346 828519 1104692 1380865 1657038 2209384 2761730 3314076 4142595 5523460 6628152 7302829 8285190 11046920 14605658 16570380 21908487 29211316 33140760 36514145 43816974 58422632 73028290 87633948 109542435 146056580 175267896 219084870 292113160 438169740 876339480 2016844193417 4033688386834 6050532580251 8067376773668 10084220967085 12101065160502 16134753547336 20168441934170 24202130321004 30252662901255 40336883868340 48404260642008 60505325802510 80673767736680 121010651605020 242021303210040