Search a number
-
+
40151626140 = 22352632544463
BaseRepresentation
bin100101011001001110…
…010011000110011100
310211122020100221110110
4211121032103012130
51124212304014030
630240112410020
72620665122343
oct453116230634
9124566327413
1040151626140
1116034600aaa
127946846910
133a2b600682
141d2c79ab5a
15109ee881b0
hex95939319c

40151626140 has 48 divisors (see below), whose sum is σ = 112852067328. Its totient is φ = 10666384704.

The previous prime is 40151626129. The next prime is 40151626147. The reversal of 40151626140 is 4162615104.

It is a super-2 number, since 2×401516261402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40151626098 and 40151626107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40151626147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1256452 + ... + 1288011.

It is an arithmetic number, because the mean of its divisors is an integer number (2351084736).

Almost surely, 240151626140 is an apocalyptic number.

It is an amenable number.

40151626140 is an abundant number, since it is smaller than the sum of its proper divisors (72700441188).

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

40151626140 is a wasteful number, since it uses less digits than its factorization.

40151626140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544738 (or 2544736 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 40151626140 in words is "forty billion, one hundred fifty-one million, six hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 263 526 789 1052 1315 1578 2630 3156 3945 5260 7890 15780 2544463 5088926 7633389 10177852 12722315 15266778 25444630 30533556 38166945 50889260 76333890 152667780 669193769 1338387538 2007581307 2676775076 3345968845 4015162614 6691937690 8030325228 10037906535 13383875380 20075813070 40151626140