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4240242402444 = 22323710131518467
BaseRepresentation
bin111101101101000010001…
…001000110010010001100
3120000100210210011020120100
4331231002021012102030
51023433004023334234
613003535050251100
7615230105510436
oct75550211062214
916010723136510
104240242402444
111395305325404
12585954726a90
13249b1247c659
1410932bc8b656
1575472349399
hex3db4224648c

4240242402444 has 72 divisors (see below), whose sum is σ = 11117067959088. Its totient is φ = 1361597731200.

The previous prime is 4240242402413. The next prime is 4240242402467. The reversal of 4240242402444 is 4442042420424.

4240242402444 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 242 + 402 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4240242402399 and 4240242402408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15624702 + ... + 15893765.

It is an arithmetic number, because the mean of its divisors is an integer number (154403721654).

Almost surely, 24240242402444 is an apocalyptic number.

It is an amenable number.

4240242402444 is an abundant number, since it is smaller than the sum of its proper divisors (6876825556644).

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

4240242402444 is a wasteful number, since it uses less digits than its factorization.

4240242402444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518615 (or 31518610 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4240242402444 its reverse (4442042420424), we get a palindrome (8682284822868).

The spelling of 4240242402444 in words is "four trillion, two hundred forty billion, two hundred forty-two million, four hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 1212 1332 1818 3636 3737 7474 11211 14948 22422 33633 44844 67266 134532 31518467 63036934 94555401 126073868 189110802 283666203 378221604 567332406 1134664812 1166183279 2332366558 3183365167 3498549837 4664733116 6366730334 6997099674 9550095501 10495649511 12733460668 13994199348 19100191002 20991299022 28650286503 38200382004 41982598044 57300573006 114601146012 117784511179 235569022358 353353533537 471138044716 706707067074 1060060600611 1413414134148 2120121201222 4240242402444