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40430423322 = 2337183127051
BaseRepresentation
bin100101101001110101…
…110100110100011010
310212100122222022022000
4211221311310310122
51130300142021242
630323512141430
72630621633202
oct455165646432
9125318868260
1040430423322
1116167a134a3
127a04097876
133a742b6713
141d57811402
1510b96a9a4c
hex969d74d1a

40430423322 has 64 divisors (see below), whose sum is σ = 92209259520. Its totient is φ = 13126806000.

The previous prime is 40430423273. The next prime is 40430423333. The reversal of 40430423322 is 22332403404.

40430423322 is a `hidden beast` number, since 404 + 3 + 0 + 4 + 233 + 22 = 666.

It is a super-2 number, since 2×404304233222 (a number of 22 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 254697 + ... + 381747.

It is an arithmetic number, because the mean of its divisors is an integer number (1440769680).

Almost surely, 240430423322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40430423322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46104629760).

40430423322 is an abundant number, since it is smaller than the sum of its proper divisors (51778836198).

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

40430423322 is a wasteful number, since it uses less digits than its factorization.

40430423322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127216 (or 127210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40430423322 its reverse (22332403404), we get a palindrome (62762826726).

The spelling of 40430423322 in words is "forty billion, four hundred thirty million, four hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 83 142 166 213 249 426 498 639 747 1278 1494 1917 2241 3834 4482 5893 11786 17679 35358 53037 106074 127051 159111 254102 318222 381153 762306 1143459 2286918 3430377 6860754 9020621 10545233 18041242 21090466 27061863 31635699 54123726 63271398 81185589 94907097 162371178 189814194 243556767 284721291 487113534 569442582 748711543 1497423086 2246134629 4492269258 6738403887 13476807774 20215211661 40430423322