Search a number
-
+
4022044131042 = 233753200760913
BaseRepresentation
bin111010100001110100100…
…000101111111011100010
3112020111121011121120211000
4322201310200233323202
51011344121244143132
612315411312132430
7563404001013540
oct72416440577342
915214534546730
104022044131042
11131081506a593
1254b5ba537116
1323237ab2c662
14dc94cccad90
156e95140487c
hex3a87482fee2

4022044131042 has 64 divisors (see below), whose sum is σ = 10407445781760. Its totient is φ = 1127473281792.

The previous prime is 4022044131041. The next prime is 4022044131089. The reversal of 4022044131042 is 2401314402204.

4022044131042 is a `hidden beast` number, since 4 + 0 + 2 + 204 + 413 + 1 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4022044130997 and 4022044131015.

It is not an unprimeable number, because it can be changed into a prime (4022044131041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100360423 + ... + 100400490.

It is an arithmetic number, because the mean of its divisors is an integer number (162616340340).

Almost surely, 24022044131042 is an apocalyptic number.

4022044131042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4022044131042 is an abundant number, since it is smaller than the sum of its proper divisors (6385401650718).

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

4022044131042 is a wasteful number, since it uses less digits than its factorization.

4022044131042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200760984 (or 200760978 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4022044131042 its reverse (2401314402204), we get a palindrome (6423358533246).

The spelling of 4022044131042 in words is "four trillion, twenty-two billion, forty-four million, one hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 2226 2862 3339 6678 10017 20034 200760913 401521826 602282739 1204565478 1405326391 1806848217 2810652782 3613696434 4215979173 5420544651 8431958346 10640328389 10841089302 12647937519 21280656778 25295875038 31920985167 37943812557 63841970334 74482298723 75887625114 95762955501 148964597446 191525911002 223446896169 287288866503 446893792338 574577733006 670340688507 1340681377014 2011022065521 4022044131042