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4140141240 = 23351710511931
BaseRepresentation
bin1111011011000101…
…1000101010111000
3101200112101222002110
43312301120222320
531434334004430
61522453332320
7204411422424
oct36661305270
911615358073
104140141240
111835002434
129766370a0
1350c97b121
142b3bd3b84
151937087b0
hexf6c58ab8

4140141240 has 128 divisors (see below), whose sum is σ = 13170366720. Its totient is φ = 1037568000.

The previous prime is 4140141193. The next prime is 4140141241. The reversal of 4140141240 is 421410414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140141241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2143075 + ... + 2145005.

It is an arithmetic number, because the mean of its divisors is an integer number (102893490).

Almost surely, 24140141240 is an apocalyptic number.

4140141240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585183360).

4140141240 is an abundant number, since it is smaller than the sum of its proper divisors (9030225480).

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

4140141240 is a wasteful number, since it uses less digits than its factorization.

4140141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4140141240 is about 64343.9293173801. The cubic root of 4140141240 is about 1605.7270335127.

Adding to 4140141240 its reverse (421410414), we get a palindrome (4561551654).

The spelling of 4140141240 in words is "four billion, one hundred forty million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1051 1931 2040 2102 3153 3862 4204 5255 5793 6306 7724 8408 9655 10510 11586 12612 15448 15765 17867 19310 21020 23172 25224 28965 31530 32827 35734 38620 42040 46344 53601 57930 63060 65654 71468 77240 89335 98481 107202 115860 126120 131308 142936 164135 178670 196962 214404 231720 262616 268005 328270 357340 393924 428808 492405 536010 656540 714680 787848 984810 1072020 1313080 1969620 2029481 2144040 3939240 4058962 6088443 8117924 10147405 12176886 16235848 20294810 24353772 30442215 34501177 40589620 48707544 60884430 69002354 81179240 103503531 121768860 138004708 172505885 207007062 243537720 276009416 345011770 414014124 517517655 690023540 828028248 1035035310 1380047080 2070070620 4140141240