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4141189962 = 23571393637
BaseRepresentation
bin1111011011010101…
…1000101101001010
3101200121101020200000
43312311120231022
531440121034322
61522532023430
7204423351060
oct36665305512
911617336600
104141189962
111835659348
12976a61b76
1350cc57580
142b3dc8030
151938643ac
hexf6d58b4a

4141189962 has 96 divisors (see below), whose sum is σ = 11452301952. Its totient is φ = 1092170304.

The previous prime is 4141189933. The next prime is 4141189979. The reversal of 4141189962 is 2699811414.

It is a happy number.

It is a super-2 number, since 2×41411899622 = 34298908602739122888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2593 + ... + 91044.

It is an arithmetic number, because the mean of its divisors is an integer number (119294812).

Almost surely, 24141189962 is an apocalyptic number.

4141189962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141189962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726150976).

4141189962 is an abundant number, since it is smaller than the sum of its proper divisors (7311111990).

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

4141189962 is a wasteful number, since it uses less digits than its factorization.

4141189962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93674 (or 93662 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4141189962 is about 64352.0781482618. The cubic root of 4141189962 is about 1605.8626020842.

The spelling of 4141189962 in words is "four billion, one hundred forty-one million, one hundred eighty-nine thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4914 6318 7371 14742 22113 44226 93637 187274 280911 561822 655459 842733 1217281 1310918 1685466 1966377 2434562 2528199 3651843 3932754 5056398 5899131 7303686 7584597 8520967 10955529 11798262 15169194 17041934 17697393 21911058 22753791 25562901 32866587 35394786 45507582 51125802 53092179 65733174 76688703 98599761 106184358 153377406 159276537 197199522 230066109 295799283 318553074 460132218 591598566 690198327 1380396654 2070594981 4141189962