Search a number
-
+
40243312242 = 2337475938393
BaseRepresentation
bin100101011110101100…
…000011011001110010
310211212121220002011000
4211132230003121302
51124404241442432
630253145502430
72623160336640
oct453654033162
9124777802130
1040243312242
1116081334141
1279714a1a16
133a445c2bc3
141d3aa26190
1510a804957c
hex95eb03672

40243312242 has 128 divisors (see below), whose sum is σ = 106151731200. Its totient is φ = 11062424448.

The previous prime is 40243312229. The next prime is 40243312247. The reversal of 40243312242 is 24221334204.

40243312242 is a `hidden beast` number, since 4 + 0 + 2 + 433 + 1 + 224 + 2 = 666.

40243312242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40243312247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028998 + ... + 1067390.

It is an arithmetic number, because the mean of its divisors is an integer number (829310400).

Almost surely, 240243312242 is an apocalyptic number.

40243312242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40243312242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53075865600).

40243312242 is an abundant number, since it is smaller than the sum of its proper divisors (65908418958).

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

40243312242 is a wasteful number, since it uses less digits than its factorization.

40243312242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38517 (or 38511 counting only the distinct ones).

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

Adding to 40243312242 its reverse (24221334204), we get a palindrome (64464646446).

The spelling of 40243312242 in words is "forty billion, two hundred forty-three million, three hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 59 63 94 118 126 141 177 189 282 329 354 378 413 423 531 658 826 846 987 1062 1239 1269 1593 1974 2478 2538 2773 2961 3186 3717 5546 5922 7434 8319 8883 11151 16638 17766 19411 22302 24957 38393 38822 49914 58233 74871 76786 115179 116466 149742 174699 230358 268751 345537 349398 524097 537502 691074 806253 1036611 1048194 1612506 1804471 2073222 2265187 2418759 3608942 4530374 4837518 5413413 6795561 7256277 10826826 12631297 13591122 14512554 15856309 16240239 20386683 25262594 31712618 32480478 37893891 40773366 47568927 48720717 61160049 75787782 95137854 97441434 106463789 113681673 122320098 142706781 212927578 227363346 285413562 319391367 341045019 428120343 638782734 682090038 745246523 856240686 958174101 1490493046 1916348202 2235739569 2874522303 4471479138 5749044606 6707218707 13414437414 20121656121 40243312242