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4121332446 = 2371119653719
BaseRepresentation
bin1111010110100110…
…1000101011011110
3101122020000101021110
43311221220223132
531420030114241
61520542242450
7204062514330
oct36551505336
911566011243
104121332446
111825426080
12970286426
13508ac3c6a
142b14d9450
15191c40816
hexf5a68ade

4121332446 has 128 divisors (see below), whose sum is σ = 10849075200. Its totient is φ = 1011173760.

The previous prime is 4121332421. The next prime is 4121332451. The reversal of 4121332446 is 6442331214.

It is a super-2 number, since 2×41213324462 = 33970762260904685832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5731675 + ... + 5732393.

It is an arithmetic number, because the mean of its divisors is an integer number (84758400).

Almost surely, 24121332446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121332446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424537600).

4121332446 is an abundant number, since it is smaller than the sum of its proper divisors (6727742754).

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

4121332446 is a wasteful number, since it uses less digits than its factorization.

4121332446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414.

The product of its digits is 13824, while the sum is 30.

The square root of 4121332446 is about 64197.6046749409. The cubic root of 4121332446 is about 1603.2917187959.

The spelling of 4121332446 in words is "four billion, one hundred twenty-one million, three hundred thirty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 653 719 798 1254 1306 1438 1463 1959 2157 2926 3918 4314 4389 4571 5033 7183 7909 8778 9142 10066 12407 13661 13713 14366 15099 15818 21549 23727 24814 27322 27426 30198 37221 40983 43098 47454 50281 55363 74442 81966 86849 95627 100562 110726 136477 150271 150843 166089 173698 191254 260547 272954 286881 300542 301686 332178 409431 450813 469507 521094 573762 818862 901626 939014 955339 1051897 1408521 1910678 2103794 2817042 2866017 3155691 3286549 5164577 5732034 6311382 6573098 8920633 9859647 10329154 15493731 17841266 19719294 26761899 30987462 36152039 53523798 62444431 72304078 98126963 108456117 124888862 187333293 196253926 216912234 294380889 374666586 588761778 686888741 1373777482 2060666223 4121332446