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242202040040 = 23523263263087
BaseRepresentation
bin1110000110010001011…
…1011101011011101000
3212011011110212110001102
43201210113131123220
512432012210240130
6303133250140532
723332664241422
oct3414427353350
9764143773042
10242202040040
1193798812544
123ab34b81748
1319abb6687bc
14ba18cdb812
15647842c645
hex38645dd6e8

242202040040 has 32 divisors (see below), whose sum is σ = 568648270080. Its totient is φ = 92668606272.

The previous prime is 242202040033. The next prime is 242202040049. The reversal of 242202040040 is 40040202242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242202039994 and 242202040021.

It is not an unprimeable number, because it can be changed into a prime (242202040049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131630624 + ... + 131632463.

It is an arithmetic number, because the mean of its divisors is an integer number (17770258440).

Almost surely, 2242202040040 is an apocalyptic number.

242202040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242202040040 is an abundant number, since it is smaller than the sum of its proper divisors (326446230040).

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

242202040040 is a wasteful number, since it uses less digits than its factorization.

242202040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263263121 (or 263263117 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242202040040 its reverse (40040202242), we get a palindrome (282242242282).

The spelling of 242202040040 in words is "two hundred forty-two billion, two hundred two million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 263263087 526526174 1053052348 1316315435 2106104696 2632630870 5265261740 6055051001 10530523480 12110102002 24220204004 30275255005 48440408008 60550510010 121101020020 242202040040