Search a number
-
+
40420034144 = 2572241106963
BaseRepresentation
bin100101101001001110…
…001100011001100000
310212022221102111000122
4211221032030121200
51130240012043034
630322501335412
72630434423100
oct455116143140
9125287374018
1040420034144
11161620679a6
127a00707568
133a720b9989
141d562a9200
1510b880662e
hex96938c660

40420034144 has 72 divisors (see below), whose sum is σ = 92954069208. Its totient is φ = 17250831360.

The previous prime is 40420034119. The next prime is 40420034159. The reversal of 40420034144 is 44143002404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324407 + ... + 431369.

It is an arithmetic number, because the mean of its divisors is an integer number (1291028739).

Almost surely, 240420034144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40420034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46477034604).

40420034144 is an abundant number, since it is smaller than the sum of its proper divisors (52534035064).

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

40420034144 is a wasteful number, since it uses less digits than its factorization.

40420034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107228 (or 107213 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40420034144 its reverse (44143002404), we get a palindrome (84563036548).

The spelling of 40420034144 in words is "forty billion, four hundred twenty million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 241 392 482 784 964 1568 1687 1928 3374 3856 6748 7712 11809 13496 23618 26992 47236 53984 94472 106963 188944 213926 377888 427852 748741 855704 1497482 1711408 2994964 3422816 5241187 5989928 10482374 11979856 20964748 23959712 25778083 41929496 51556166 83858992 103112332 167717984 180446581 206224664 360893162 412449328 721786324 824898656 1263126067 1443572648 2526252134 2887145296 5052504268 5774290592 10105008536 20210017072 40420034144