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34050131412 = 223111994213079
BaseRepresentation
bin11111101101100010…
…111100010111010100
310020220000022220012020
4133231202330113110
51024213313201122
623350432253140
72313536225103
oct375542742724
9106800286166
1034050131412
1113493458780
1267233a11b0
1332984b996b
1419102cc03a
15d444a2c5c
hex7ed8bc5d4

34050131412 has 96 divisors (see below), whose sum is σ = 87343872000. Its totient is φ = 10238659200.

The previous prime is 34050131411. The next prime is 34050131441. The reversal of 34050131412 is 21413105043.

It is a happy number.

It is a super-2 number, since 2×340501314122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050131411) 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, 11057289 + ... + 11060367.

It is an arithmetic number, because the mean of its divisors is an integer number (909832000).

Almost surely, 234050131412 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 34050131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43671936000).

34050131412 is an abundant number, since it is smaller than the sum of its proper divisors (53293740588).

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

34050131412 is a wasteful number, since it uses less digits than its factorization.

34050131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 34050131412 its reverse (21413105043), we get a palindrome (55463236455).

The spelling of 34050131412 in words is "thirty-four billion, fifty million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 398 421 597 796 842 1194 1263 1684 2189 2388 2526 3079 4378 4631 5052 6158 6567 8756 9237 9262 12316 13134 13893 18474 18524 26268 27786 33869 36948 55572 67738 83779 101607 135476 167558 203214 251337 335116 406428 502674 612721 921569 1005348 1225442 1296259 1838163 1843138 2450884 2592518 2764707 3676326 3686276 3888777 5185036 5529414 6739931 7352652 7777554 11058828 13479862 14258849 15555108 20219793 26959724 28517698 40439586 42776547 57035396 80879172 85553094 171106188 257955541 515911082 773866623 1031822164 1547733246 2837510951 3095466492 5675021902 8512532853 11350043804 17025065706 34050131412