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4141402344 = 23363122907
BaseRepresentation
bin1111011011011000…
…1100100011101000
3101200121210001000000
43312312030203220
531440144333334
61522540343000
7204425224212
oct36666144350
911617701000
104141402344
111835793972
12976b44a60
13510000141
142b40415b2
151938a7299
hexf6d8c8e8

4141402344 has 112 divisors (see below), whose sum is σ = 12018453120. Its totient is φ = 1335877920.

The previous prime is 4141402339. The next prime is 4141402373. The reversal of 4141402344 is 4432041414.

4141402344 is a `hidden beast` number, since 414 + 14 + 0 + 234 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 169339 + ... + 192245.

Almost surely, 24141402344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009226560).

4141402344 is an abundant number, since it is smaller than the sum of its proper divisors (7877050776).

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

4141402344 is a wasteful number, since it uses less digits than its factorization.

4141402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22962 (or 22943 counting only the distinct ones).

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

The square root of 4141402344 is about 64353.7282836045. The cubic root of 4141402344 is about 1605.8900539747.

Adding to 4141402344 its reverse (4432041414), we get a palindrome (8573443758).

The spelling of 4141402344 in words is "four billion, one hundred forty-one million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 729 744 837 972 1116 1458 1674 1944 2232 2511 2916 3348 5022 5832 6696 7533 10044 15066 20088 22599 22907 30132 45198 45814 60264 68721 90396 91628 137442 180792 183256 206163 274884 412326 549768 618489 710117 824652 1236978 1420234 1649304 1855467 2130351 2473956 2840468 3710934 4260702 4947912 5566401 5680936 6391053 7421868 8521404 11132802 12782106 14843736 16699203 17042808 19173159 22265604 25564212 33398406 38346318 44531208 51128424 57519477 66796812 76692636 115038954 133593624 153385272 172558431 230077908 345116862 460155816 517675293 690233724 1035350586 1380467448 2070701172 4141402344