Search a number
-
+
242134200040 = 235137283156131
BaseRepresentation
bin1110000110000001010…
…0101010111011101000
3212010222202012211001211
43201200110222323220
512431342323400130
6303122424122504
723331211512235
oct3414024527350
9763882184054
10242134200040
1193763497327
123ab16306434
1319aaa5a51a5
14ba0dcbc78c
1564724cba2a
hex386052aee8

242134200040 has 64 divisors (see below), whose sum is σ = 550721280960. Its totient is φ = 95806364160.

The previous prime is 242134200023. The next prime is 242134200067. The reversal of 242134200040 is 40002431242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242134199984 and 242134200020.

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 15 ways as a sum of consecutive naturals, for example, 1472775 + ... + 1628905.

It is an arithmetic number, because the mean of its divisors is an integer number (8605020015).

Almost surely, 2242134200040 is an apocalyptic number.

242134200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242134200040 is an abundant number, since it is smaller than the sum of its proper divisors (308587080920).

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

242134200040 is a wasteful number, since it uses less digits than its factorization.

242134200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156562 (or 156558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242134200040 its reverse (40002431242), we get a palindrome (282136631282).

The spelling of 242134200040 in words is "two hundred forty-two billion, one hundred thirty-four million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 283 548 566 685 1096 1132 1370 1415 2264 2740 2830 5480 5660 11320 38771 77542 155084 156131 193855 310168 312262 387710 624524 775420 780655 1249048 1550840 1561310 3122620 6245240 21389947 42779894 44185073 85559788 88370146 106949735 171119576 176740292 213899470 220925365 353480584 427798940 441850730 855597880 883701460 1767402920 6053355001 12106710002 24213420004 30266775005 48426840008 60533550010 121067100020 242134200040