Search a number
-
+
40202311014 = 23319121332303
BaseRepresentation
bin100101011100001111…
…101001010101100110
310211202202202000001000
4211130033221111212
51124313242423024
630245123014130
72622152001555
oct453417512546
9124682660030
1040202311014
111606017a328
12795b80a346
133a38c68718
141d353d1d9c
1510a464acc9
hex95c3e9566

40202311014 has 64 divisors (see below), whose sum is σ = 94120934400. Its totient is φ = 12684607776.

The previous prime is 40202311013. The next prime is 40202311021. The reversal of 40202311014 is 41011320204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40202311013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1228387 + ... + 1260689.

It is an arithmetic number, because the mean of its divisors is an integer number (1470639600).

Almost surely, 240202311014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40202311014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47060467200).

40202311014 is an abundant number, since it is smaller than the sum of its proper divisors (53918623386).

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

40202311014 is a wasteful number, since it uses less digits than its factorization.

40202311014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33546 (or 33540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40202311014 its reverse (41011320204), we get a palindrome (81213631218).

The spelling of 40202311014 in words is "forty billion, two hundred two million, three hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 1213 2426 3639 7278 10917 21834 23047 32303 32751 46094 64606 65502 69141 96909 138282 193818 207423 290727 414846 581454 613757 622269 872181 1227514 1244538 1744362 1841271 3682542 5523813 11047626 16571439 33142878 39183539 78367078 117550617 235101234 352651851 705303702 744487241 1057955553 1488974482 2115911106 2233461723 4466923446 6700385169 13400770338 20101155507 40202311014