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41120145315 = 36523571859
BaseRepresentation
bin100110010010111100…
…111001111110100011
310221010201210211000000
4212102330321332203
51133203224122230
630520151231043
72653665316404
oct462274717643
9127121724000
1041120145315
1116491282877
127b77078483
133b54167842
141dc12719ab
151109eebb60
hex992f39fa3

41120145315 has 112 divisors (see below), whose sum is σ = 77424272640. Its totient is φ = 20916118080.

The previous prime is 41120145299. The next prime is 41120145317. The reversal of 41120145315 is 51354102114.

41120145315 is a `hidden beast` number, since 4 + 1 + 1 + 201 + 453 + 1 + 5 = 666.

It is not a de Polignac number, because 41120145315 - 24 = 41120145299 is a prime.

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 (41120145317) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47869356 + ... + 47870214.

Almost surely, 241120145315 is an apocalyptic number.

41120145315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41120145315 is a deficient number, since it is larger than the sum of its proper divisors (36304127325).

41120145315 is an equidigital number, since it uses as much as digits as its factorization.

41120145315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 41120145315 its reverse (51354102114), we get a palindrome (92474247429).

The spelling of 41120145315 in words is "forty-one billion, one hundred twenty million, one hundred forty-five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 23 27 45 69 81 115 135 207 243 345 405 571 621 729 859 1035 1215 1713 1863 2577 2855 3105 3645 4295 5139 5589 7731 8565 9315 12885 13133 15417 16767 19757 23193 25695 27945 38655 39399 46251 59271 65665 69579 77085 83835 98785 115965 118197 138753 177813 196995 208737 231255 296355 347895 354591 416259 490489 533439 590985 626211 693765 889065 1043685 1063773 1471467 1600317 1772955 2081295 2452445 2667195 3131055 3191319 4414401 4800951 5318865 7357335 8001585 9573957 11281247 13243203 14402853 15956595 22072005 24004755 33843741 39729609 47869785 56406235 66216015 72014265 101531223 119188827 169218705 198648045 304593669 357566481 507656115 595944135 913781007 1522968345 1787832405 2741343021 4568905035 8224029063 13706715105 41120145315