Search a number
-
+
1040151531199 = 114321271392897
BaseRepresentation
bin11110010001011011101…
…11001100111010111111
310200102210221121112201011
433020231313030322333
5114020212242444244
62113501121100051
7135101632064524
oct17105567147277
93612727545634
101040151531199
11371142471630
12149708787627
1377116864c21
14384b4bbb14b
151c0cb6d1434
hexf22ddccebf

1040151531199 has 48 divisors (see below), whose sum is σ = 1179690946560. Its totient is φ = 909423002880.

The previous prime is 1040151531193. The next prime is 1040151531229. The reversal of 1040151531199 is 9911351510401.

It is not a de Polignac number, because 1040151531199 - 237 = 902712577727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040151531193) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359042919 + ... + 359045815.

It is an arithmetic number, because the mean of its divisors is an integer number (24576894720).

Almost surely, 21040151531199 is an apocalyptic number.

1040151531199 is a deficient number, since it is larger than the sum of its proper divisors (139539415361).

1040151531199 is a wasteful number, since it uses less digits than its factorization.

1040151531199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 40.

The spelling of 1040151531199 in words is "one trillion, forty billion, one hundred fifty-one million, five hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 11 43 127 139 473 1397 1529 1849 2897 5461 5977 17653 20339 31867 60071 65747 124571 194183 234823 257011 367919 402683 759079 1370281 2583053 2827121 4047109 4429513 5356553 8349869 15820517 17315369 32640397 51140741 58922083 174025687 190469059 359044367 562548151 680282231 744560867 2199051863 7483104541 8190169537 24189570493 94559230109 1040151531199