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46226034414 = 23274130729147
BaseRepresentation
bin101011000011010010…
…010100111011101110
311102022120102212002200
4223003102110323232
51224132331100124
633122544202330
73224344544430
oct530322247356
9142276385080
1046226034414
111867143392a
128b610093a6
134488c1c5b1
142347418650
1513083bcbc9
hexac3494eee

46226034414 has 96 divisors (see below), whose sum is σ = 117642260736. Its totient is φ = 12842893440.

The previous prime is 46226034343. The next prime is 46226034427. The reversal of 46226034414 is 41443062264.

46226034414 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 603 + 4 + 41 + 4 = 666.

It is a super-3 number, since 3×462260344143 (a number of 33 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 1571389 + ... + 1600535.

It is an arithmetic number, because the mean of its divisors is an integer number (1225440216).

Almost surely, 246226034414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46226034414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58821130368).

46226034414 is an abundant number, since it is smaller than the sum of its proper divisors (71416226322).

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

46226034414 is a wasteful number, since it uses less digits than its factorization.

46226034414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29510 (or 29507 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 46226034414 its reverse (41443062264), we get a palindrome (87669096678).

The spelling of 46226034414 in words is "forty-six billion, two hundred twenty-six million, thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 307 369 574 614 738 861 921 1722 1842 2149 2583 2763 4298 5166 5526 6447 12587 12894 19341 25174 29147 37761 38682 58294 75522 87441 88109 113283 174882 176218 204029 226566 262323 264327 408058 524646 528654 612087 792981 1195027 1224174 1585962 1836261 2390054 3585081 3672522 7170162 8365189 8948129 10755243 16730378 17896258 21510486 25095567 26844387 50191134 53688774 62636903 75286701 80533161 125273806 150573402 161066322 187910709 366873289 375821418 563732127 733746578 1100619867 1127464254 2201239734 2568113023 3301859601 5136226046 6603719202 7704339069 15408678138 23113017207 46226034414