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4040126370 = 2335719112507
BaseRepresentation
bin1111000011001111…
…0110111110100010
3101102120012200111000
43300303312332202
531233233020440
61504521532430
7202055336040
oct36063667642
911376180430
104040126370
111793600815
12949044116
134c5030927
142a47db390
15189a4e730
hexf0cf6fa2

4040126370 has 128 divisors (see below), whose sum is σ = 12960921600. Its totient is φ = 874846656.

The previous prime is 4040126357. The next prime is 4040126399. The reversal of 4040126370 is 736210404.

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 63 ways as a sum of consecutive naturals, for example, 20344 + ... + 92163.

It is an arithmetic number, because the mean of its divisors is an integer number (101257200).

Almost surely, 24040126370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040126370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480460800).

4040126370 is an abundant number, since it is smaller than the sum of its proper divisors (8920795230).

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

4040126370 is a wasteful number, since it uses less digits than its factorization.

4040126370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112549 (or 112543 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4040126370 is about 63561.9884050208. The cubic root of 4040126370 is about 1592.6914543168.

Adding to 4040126370 its reverse (736210404), we get a palindrome (4776336774).

The spelling of 4040126370 in words is "four billion, forty million, one hundred twenty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5130 5985 7182 11970 17955 35910 112507 225014 337521 562535 675042 787549 1012563 1125070 1575098 1687605 2025126 2137633 2362647 3037689 3375210 3937745 4275266 4725294 5062815 6075378 6412899 7087941 7875490 10125630 10688165 11813235 12825798 14175882 14963431 15188445 19238697 21263823 21376330 23626470 29926862 30376890 32064495 35439705 38477394 42527646 44890293 57716091 64128990 70879410 74817155 89780586 96193485 106319115 115432182 134670879 149634310 192386970 212638230 224451465 269341758 288580455 404012637 448902930 577160910 673354395 808025274 1346708790 2020063185 4040126370