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4042400442525 = 3252173134091507
BaseRepresentation
bin111010110100110001110…
…101111010100010011101
3112022110010211121100112100
4322310301311322202131
51012212314003130100
612333015250355313
7565024310552454
oct72646165724235
915273124540470
104042400442525
111319410734705
1255353b88bb39
13234273290193
14dd920643b9b
15702435a4400
hex3ad31d7a89d

4042400442525 has 72 divisors (see below), whose sum is σ = 7913593569024. Its totient is φ = 1963670745600.

The previous prime is 4042400442497. The next prime is 4042400442541. The reversal of 4042400442525 is 5252440042404.

4042400442525 is a `hidden beast` number, since 404 + 240 + 0 + 4 + 4 + 2 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 4042400442525 - 212 = 4042400438429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4042400442525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16927179 + ... + 17164328.

It is an arithmetic number, because the mean of its divisors is an integer number (109911021792).

Almost surely, 24042400442525 is an apocalyptic number.

4042400442525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4042400442525 is a deficient number, since it is larger than the sum of its proper divisors (3871193126499).

4042400442525 is a wasteful number, since it uses less digits than its factorization.

4042400442525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34091571 (or 34091563 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 4042400442525 its reverse (5252440042404), we get a palindrome (9294840484929).

The spelling of 4042400442525 in words is "four trillion, forty-two billion, four hundred million, four hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 31 45 51 75 85 93 153 155 225 255 279 425 465 527 765 775 1275 1395 1581 2325 2635 3825 4743 6975 7905 13175 23715 39525 118575 34091507 102274521 170457535 306823563 511372605 579555619 852287675 1056836717 1534117815 1738666857 2556863025 2897778095 3170510151 5216000571 5284183585 7670589075 8693334285 9511530453 14488890475 15852550755 17966224189 26080002855 26420917925 43466671425 47557652265 53898672567 79262753775 89831120945 130400014275 161696017701 237788261325 269493362835 449155604725 808480088505 1347466814175 4042400442525