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14072671080 = 23345132941281
BaseRepresentation
bin11010001101100101…
…11110101101101000
31100022202012202120000
431012302332231220
5212310100433310
610244230103000
71005506505366
oct150662765550
940282182500
1014072671080
115a71724086
122888aaaa60
1314336a4410
14976dd2636
155756da4c0
hex346cbeb68

14072671080 has 640 divisors, whose sum is σ = 54172087200. Its totient is φ = 3251404800.

The previous prime is 14072671069. The next prime is 14072671117. The reversal of 14072671080 is 8017627041.

It can be written as a sum of positive squares in 16 ways, for example, as 40373316 + 14032297764 = 6354^2 + 118458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 50080540 + ... + 50080820.

Almost surely, 214072671080 is an apocalyptic number.

14072671080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14072671080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27086043600).

14072671080 is an abundant number, since it is smaller than the sum of its proper divisors (40099416120).

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

14072671080 is a wasteful number, since it uses less digits than its factorization.

14072671080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 14072671080 in words is "fourteen billion, seventy-two million, six hundred seventy-one thousand, eighty".