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141409089936 = 2432313372
BaseRepresentation
bin1000001110110010100…
…0110111100110010000
3111112000001011001202100
42003230220313212100
54304101211334221
6144543515320400
713134151301142
oct2035450674620
9445001131670
10141409089936
1154a75821284
12234a5750100
13104477a401a
146bb6828c92
153a297ae926
hex20eca37990

141409089936 has 45 divisors (see below), whose sum is σ = 395761679521. Its totient is φ = 47134859136.

The previous prime is 141409089917. The next prime is 141409089953. The reversal of 141409089936 is 639980904141.

It is a happy number.

The square root of 141409089936 is 376044.

It is a perfect power (a square), and thus also a powerful number.

141409089936 is a `hidden beast` number, since 141 + 409 + 0 + 8 + 9 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134968064400 + 6441025536 = 367380^2 + 80256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4496860 + ... + 4528196.

Almost surely, 2141409089936 is an apocalyptic number.

141409089936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141409089936 is the 376044-th square number.

It is an amenable number.

141409089936 is an abundant number, since it is smaller than the sum of its proper divisors (254352589585).

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

141409089936 is an frugal number, since it uses more digits than its factorization.

141409089936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62688 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 141409089936 in words is "one hundred forty-one billion, four hundred nine million, eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 31337 62674 94011 125348 188022 250696 282033 376044 501392 564066 752088 1128132 1504176 2256264 4512528 982007569 1964015138 2946022707 3928030276 5892045414 7856060552 8838068121 11784090828 15712121104 17676136242 23568181656 35352272484 47136363312 70704544968 141409089936