Search a number
-
+
42216041100261 = 3731271459221413
BaseRepresentation
bin10011001100101001100000…
…01000100011001111100101
312112110210222111012212112110
421212110300020203033211
521013131423010202021
6225441440451511233
711615002565436000
oct1146246010431745
9175423874185473
1042216041100261
11124a67a46a4106
1248999028b8519
131a72c565947b2
14a5d3a563a537
154d3209582476
hex2665302233e5

42216041100261 has 64 divisors (see below), whose sum is σ = 66204557312000. Its totient is φ = 23916991549248.

The previous prime is 42216041100217. The next prime is 42216041100319. The reversal of 42216041100261 is 16200114061224.

It is not a de Polignac number, because 42216041100261 - 226 = 42215973991397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216041105261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190555791 + ... + 190777203.

It is an arithmetic number, because the mean of its divisors is an integer number (1034446208000).

Almost surely, 242216041100261 is an apocalyptic number.

It is an amenable number.

42216041100261 is a deficient number, since it is larger than the sum of its proper divisors (23988516211739).

42216041100261 is a wasteful number, since it uses less digits than its factorization.

42216041100261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223023 (or 223009 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 42216041100261 its reverse (16200114061224), we get a palindrome (58416155161485).

The spelling of 42216041100261 in words is "forty-two trillion, two hundred sixteen billion, forty-one million, one hundred thousand, two hundred sixty-one".

Divisors: 1 3 7 21 49 127 147 343 381 889 1029 1459 2667 4377 6223 10213 18669 30639 43561 71491 130683 185293 214473 221413 500437 555879 664239 1297051 1501311 1549891 3891153 4649673 9079357 10849237 27238071 28119451 32547711 63555499 75944659 84358353 190666497 196836157 227833977 323041567 590508471 969124701 1377853099 2261290969 4133559297 6783872907 9644971693 15829036783 28934915079 41026279009 47487110349 110803257481 123078837027 287183953063 332409772443 861551859189 2010287671441 6030863014323 14072013700087 42216041100261