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40422134412 = 2232111373312251
BaseRepresentation
bin100101101001010110…
…001101001010001100
310212100002101012001100
4211221112031022030
51130241031300122
630323014343100
72630461321242
oct455126151214
9125302335040
1040422134412
1116163271960
127a0135aa90
133a7267393a
141d56694792
1510b8abdaac
hex96958d28c

40422134412 has 144 divisors (see below), whose sum is σ = 112669974144. Its totient is φ = 12117600000.

The previous prime is 40422134407. The next prime is 40422134419. The reversal of 40422134412 is 21443122404.

40422134412 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 213 + 441 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (40422134419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17956287 + ... + 17958537.

It is an arithmetic number, because the mean of its divisors is an integer number (782430376).

Almost surely, 240422134412 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 40422134412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56334987072).

40422134412 is an abundant number, since it is smaller than the sum of its proper divisors (72247839732).

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

40422134412 is a wasteful number, since it uses less digits than its factorization.

40422134412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40422134412 its reverse (21443122404), we get a palindrome (61865256816).

The spelling of 40422134412 in words is "forty billion, four hundred twenty-two million, one hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 331 396 411 548 662 822 993 1233 1324 1507 1644 1986 2251 2466 2979 3014 3641 3972 4502 4521 4932 5958 6028 6753 7282 9004 9042 10923 11916 13506 13563 14564 18084 20259 21846 24761 27012 27126 32769 40518 43692 45347 49522 54252 65538 74283 81036 90694 99044 131076 136041 148566 181388 222849 272082 297132 308387 408123 445698 498817 544164 616774 745081 816246 891396 925161 997634 1233548 1490162 1496451 1632492 1850322 1995268 2235243 2775483 2980324 2992902 3392257 3700644 4470486 4489353 5550966 5985804 6705729 6784514 8195891 8940972 8978706 10176771 11101932 13411458 13569028 16391782 17957412 20353542 24587673 26822916 30530313 32783564 40707084 49175346 61060626 73763019 98350692 102076097 122121252 147526038 204152194 295052076 306228291 408304388 612456582 918684873 1122837067 1224913164 1837369746 2245674134 3368511201 3674739492 4491348268 6737022402 10105533603 13474044804 20211067206 40422134412