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2431244421342 = 2321121765663167
BaseRepresentation
bin100011011000010001011…
…101011100100011011110
322121102110121022021111100
4203120101131130203132
5304313142032440332
65100522005333530
7340436334414342
oct43302135344336
98542417267440
102431244421342
118580a3103400
12333236a072a6
1314835b013099
148595c471622
15433978b267c
hex2361175c8de

2431244421342 has 72 divisors (see below), whose sum is σ = 6130707343488. Its totient is φ = 693403032960.

The previous prime is 2431244421329. The next prime is 2431244421503.

2431244421342 is a `hidden beast` number, since 2 + 4 + 31 + 244 + 42 + 1 + 342 = 666.

2431244421342 is nontrivially palindromic in base 10.

2431244421342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24312444213423 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2431244421297 and 2431244421306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32794558 + ... + 32868609.

It is an arithmetic number, because the mean of its divisors is an integer number (85148713104).

Almost surely, 22431244421342 is an apocalyptic number.

2431244421342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2431244421342 is an abundant number, since it is smaller than the sum of its proper divisors (3699462922146).

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

2431244421342 is a wasteful number, since it uses less digits than its factorization.

2431244421342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65663214 (or 65663200 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 2431244421342 in words is "two trillion, four hundred thirty-one billion, two hundred forty-four million, four hundred twenty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 4114 6171 12342 18513 37026 65663167 131326334 196989501 393979002 590968503 722294837 1116273839 1181937006 1444589674 2166884511 2232547678 3348821517 4333769022 6500653533 6697643034 7945243207 10046464551 12279012229 13001307066 15890486414 20092929102 23835729621 24558024458 36837036687 47671459242 71507188863 73674073374 110511110061 135069134519 143014377726 221022220122 270138269038 405207403557 810414807114 1215622210671 2431244421342