Search a number
-
+
4080703253172 = 22372133173235901
BaseRepresentation
bin111011011000011100110…
…111100010101010110100
3112110010000020002201220220
4323120130313202222310
51013324240013100142
612402352120454340
7600551426225400
oct73303467425264
915403006081826
104080703253172
11133368666a217
1255aa4b31a3b0
13237a6883b590
1410171565c100
15712360902ec
hex3b61cde2ab4

4080703253172 has 288 divisors, whose sum is σ = 12481714473984. Its totient is φ = 1027240704000.

The previous prime is 4080703253119. The next prime is 4080703253201. The reversal of 4080703253172 is 2713523070804.

It is a happy number.

It is a super-3 number, since 3×40807032531723 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17180422 + ... + 17416322.

It is an arithmetic number, because the mean of its divisors is an integer number (43339286368).

Almost surely, 24080703253172 is an apocalyptic number.

4080703253172 is a gapful number since it is divisible by the number (42) 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 4080703253172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240857236992).

4080703253172 is an abundant number, since it is smaller than the sum of its proper divisors (8401011220812).

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

4080703253172 is a wasteful number, since it uses less digits than its factorization.

4080703253172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236039 (or 236030 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 4080703253172 in words is "four trillion, eighty billion, seven hundred three million, two hundred fifty-three thousand, one hundred seventy-two".