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40305442401 = 337230465187
BaseRepresentation
bin100101100010011001…
…000011111001100001
310212000221210121201000
4211202121003321201
51130021143124101
630303245302213
72624543415300
oct454231037141
9125027717630
1040305442401
111610340a484
12798a264969
133a54437603
141d44d9a437
1510ad71d486
hex962643e61

40305442401 has 24 divisors (see below), whose sum is σ = 69460628640. Its totient is φ = 23031680616.

The previous prime is 40305442379. The next prime is 40305442417. The reversal of 40305442401 is 10424450304.

It is a happy number.

It is not a de Polignac number, because 40305442401 - 210 = 40305441377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40305442451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15231271 + ... + 15233916.

It is an arithmetic number, because the mean of its divisors is an integer number (2894192860).

Almost surely, 240305442401 is an apocalyptic number.

It is an amenable number.

40305442401 is a deficient number, since it is larger than the sum of its proper divisors (29155186239).

40305442401 is a wasteful number, since it uses less digits than its factorization.

40305442401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30465210 (or 30465197 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40305442401 its reverse (10424450304), we get a palindrome (50729892705).

The spelling of 40305442401 in words is "forty billion, three hundred five million, four hundred forty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 30465187 91395561 213256309 274186683 639768927 822560049 1492794163 1919306781 4478382489 5757920343 13435147467 40305442401