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141320214414 = 23231257714159
BaseRepresentation
bin1000001110011101010…
…1110101011110001110
3111111202211220201110100
42003213111311132032
54303410433330124
6144531022351530
713132022000631
oct2034725653616
9444684821410
10141320214414
1154a2a638835
122347ba2b5a6
1310432256b62
146ba8ad1c18
153a21aa61c9
hex20e757578e

141320214414 has 72 divisors (see below), whose sum is σ = 316960356960. Its totient is φ = 45504944640.

The previous prime is 141320214407. The next prime is 141320214439. The reversal of 141320214414 is 414412023141.

141320214414 is a `hidden beast` number, since 1 + 4 + 1 + 32 + 0 + 214 + 414 = 666.

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, 9973867 + ... + 9988025.

It is an arithmetic number, because the mean of its divisors is an integer number (4402227180).

Almost surely, 2141320214414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141320214414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158480178480).

141320214414 is an abundant number, since it is smaller than the sum of its proper divisors (175640142546).

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

141320214414 is a wasteful number, since it uses less digits than its factorization.

141320214414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14772 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141320214414 its reverse (414412023141), we get a palindrome (555732237555).

The spelling of 141320214414 in words is "one hundred forty-one billion, three hundred twenty million, two hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 577 961 1154 1731 1922 2883 3462 5193 5766 8649 10386 14159 17298 17887 28318 35774 42477 53661 84954 107322 127431 160983 254862 321966 438929 554497 877858 1108994 1316787 1663491 2633574 3326982 3950361 4990473 7900722 8169743 9980946 13606799 16339486 24509229 27213598 40820397 49018458 73527687 81640794 122461191 147055374 244922382 253262033 506524066 759786099 1519572198 2279358297 4558716594 7851123023 15702246046 23553369069 47106738138 70660107207 141320214414