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40422752406 = 234298779811
BaseRepresentation
bin100101101001011000…
…100100000010010110
310212100010112120210000
4211221120210002112
51130241211034111
630323035512130
72630466504051
oct455130440226
9125303476700
1040422752406
11161636541a3
127a015b8646
133a7282c00a
141d567b5a98
1510b8b91c56
hex969624096

40422752406 has 80 divisors (see below), whose sum is σ = 93816653040. Its totient is φ = 12993462720.

The previous prime is 40422752353. The next prime is 40422752407. The reversal of 40422752406 is 60425722404.

40422752406 is a `hidden beast` number, since 404 + 2 + 2 + 7 + 5 + 240 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40422752407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4115241 + ... + 4125051.

It is an arithmetic number, because the mean of its divisors is an integer number (1172708163).

Almost surely, 240422752406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40422752406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46908326520).

40422752406 is an abundant number, since it is smaller than the sum of its proper divisors (53393900634).

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

40422752406 is a wasteful number, since it uses less digits than its factorization.

40422752406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10731 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40422752406 in words is "forty billion, four hundred twenty-two million, seven hundred fifty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 877 1566 1754 2349 2631 4698 5262 7893 9811 15786 19622 23679 25433 29433 47358 50866 58866 71037 76299 88299 142074 152598 176598 228897 264897 284519 457794 529794 569038 686691 794691 853557 1373382 1589382 1707114 2060073 2560671 4120146 5121342 7682013 8604247 15364026 17208494 23046039 25812741 46092078 51625482 77438223 154876446 232314669 249523163 464629338 499046326 696944007 748569489 1393888014 1497138978 2245708467 4491416934 6737125401 13474250802 20211376203 40422752406