Search a number
-
+
40135545310 = 25717312294751
BaseRepresentation
bin100101011000010000…
…111101000111011110
310211121010002221201011
4211120100331013132
51124144144422220
630234340005434
72620411335430
oct453020750736
9124533087634
1040135545310
1116026518263
12794139087a
133a281900a3
141d2a5b2650
15109d85d65a
hex95843d1de

40135545310 has 128 divisors (see below), whose sum is σ = 90654474240. Its totient is φ = 12476160000.

The previous prime is 40135545277. The next prime is 40135545313. The reversal of 40135545310 is 1354553104.

40135545310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401355453102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40135545313) 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, 8445435 + ... + 8450185.

It is an arithmetic number, because the mean of its divisors is an integer number (708238080).

Almost surely, 240135545310 is an apocalyptic number.

40135545310 is an abundant number, since it is smaller than the sum of its proper divisors (50518928930).

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

40135545310 is a wasteful number, since it uses less digits than its factorization.

40135545310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 40135545310 in words is "forty billion, one hundred thirty-five million, five hundred forty-five thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 31 34 35 62 70 85 119 155 170 217 229 238 310 434 458 527 595 1054 1085 1145 1190 1603 2170 2290 2635 3206 3689 3893 4751 5270 7099 7378 7786 8015 9502 14198 16030 18445 19465 23755 27251 33257 35495 36890 38930 47510 49693 54502 66514 70990 80767 99386 120683 136255 147281 161534 166285 241366 248465 272510 294562 332570 403835 496930 565369 603415 736405 807670 844781 1030967 1087979 1130738 1206830 1472810 1689562 2061934 2175958 2503777 2826845 4223905 5007554 5154835 5439895 5653690 7615853 8447810 10309670 10879790 12518885 15231706 17526439 18495643 25037770 33727349 35052878 36991286 38079265 67454698 76158530 87632195 92478215 129469501 168636745 175264390 184956430 236091443 258939002 337273490 472182886 573364933 647347505 1146729866 1180457215 1294695010 2360914430 2866824665 4013554531 5733649330 8027109062 20067772655 40135545310