Search a number
-
+
4100040315 = 335731173809
BaseRepresentation
bin1111010001100001…
…1010011001111011
3101120201221121222000
43310120122121323
531344102242230
61514502032043
7203413524210
oct36430323173
911521847860
104100040315
111814402a78
12965118623
1350457a677
142ac755b07
1518ee36b60
hexf461a67b

4100040315 has 128 divisors (see below), whose sum is σ = 8659353600. Its totient is φ = 1801128960.

The previous prime is 4100040289. The next prime is 4100040317. The reversal of 4100040315 is 5130400014.

It is a happy number.

It is not a de Polignac number, because 4100040315 - 26 = 4100040251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4100040317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5067631 + ... + 5068439.

It is an arithmetic number, because the mean of its divisors is an integer number (67651200).

Almost surely, 24100040315 is an apocalyptic number.

4100040315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4100040315 is an abundant number, since it is smaller than the sum of its proper divisors (4559313285).

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

4100040315 is a wasteful number, since it uses less digits than its factorization.

4100040315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4100040315 is about 64031.5571808151. The cubic root of 4100040315 is about 1600.5259098002.

Adding to 4100040315 its reverse (5130400014), we get a palindrome (9230440329).

The spelling of 4100040315 in words is "four billion, one hundred million, forty thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 93 105 135 155 173 189 217 279 315 465 519 651 809 837 865 945 1085 1211 1395 1557 1953 2427 2595 3255 3633 4045 4185 4671 5363 5663 5859 6055 7281 7785 9765 10899 12135 16089 16989 18165 21843 23355 25079 26815 28315 29295 32697 36405 37541 48267 50967 54495 75237 80445 84945 109215 112623 125395 139957 144801 152901 163485 175553 187705 225711 241335 254835 337869 376185 419871 526659 563115 677133 699785 724005 764505 877765 979699 1013607 1128555 1259613 1579977 1689345 2099355 2633295 2939097 3385665 3778839 4338667 4739931 4898495 5068035 6298065 7899885 8817291 13016001 14695485 18894195 21693335 23699655 26451873 30370669 39048003 44086455 65080005 91112007 117144009 132259365 151853345 195240015 273336021 455560035 585720045 820008063 1366680105 4100040315