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40432600404 = 22327239771917
BaseRepresentation
bin100101101001111110…
…001000010101010100
310212100211001220200200
4211221332020111110
51130301221203104
630324030540500
72630646301320
oct455176102524
9125324056620
1040432600404
1116169170139
127a04967730
133a74899631
141d57c1a980
1510b9989b39
hex969f88554

40432600404 has 144 divisors (see below), whose sum is σ = 123142027008. Its totient is φ = 10935834624.

The previous prime is 40432600393. The next prime is 40432600421. The reversal of 40432600404 is 40400623404.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 526254 + ... + 598170.

Almost surely, 240432600404 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 40432600404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61571013504).

40432600404 is an abundant number, since it is smaller than the sum of its proper divisors (82709426604).

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

40432600404 is a wasteful number, since it uses less digits than its factorization.

40432600404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72054 (or 72049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 40432600404 in words is "forty billion, four hundred thirty-two million, six hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 97 126 138 161 194 207 252 276 291 322 388 414 483 582 644 679 828 873 966 1164 1358 1449 1746 1932 2037 2231 2716 2898 3492 4074 4462 5796 6111 6693 8148 8924 12222 13386 15617 20079 24444 26772 31234 40158 46851 62468 71917 80316 93702 140553 143834 187404 215751 281106 287668 431502 503419 562212 647253 863004 1006838 1294506 1510257 1654091 2013676 2589012 3020514 3308182 4530771 4962273 6041028 6616364 6975949 9061542 9924546 11578637 13951898 14886819 18123084 19849092 20927847 23157274 27903796 29773638 34735911 41855694 46314548 48831643 59547276 62783541 69471822 83711388 97663286 104207733 125567082 138943644 146494929 160446827 195326572 208415466 251134164 292989858 320893654 416830932 439484787 481340481 585979716 641787308 878969574 962680962 1123127789 1444021443 1757939148 1925361924 2246255578 2888042886 3369383367 4492511156 5776085772 6738766734 10108150101 13477533468 20216300202 40432600404