Search a number
-
+
1051140425832 = 233273167277293
BaseRepresentation
bin11110100101111001101…
…10100000100001101000
310201111011210011020020200
433102330312200201220
5114210213422111312
62122515351152200
7135641145125310
oct17227466404150
93644153136220
101051140425832
11375871404832
1214b874975660
13781783a1843
1438c383da440
151c5212ca0dc
hexf4bcda0868

1051140425832 has 96 divisors (see below), whose sum is σ = 3358482516480. Its totient is φ = 290637901440.

The previous prime is 1051140425831. The next prime is 1051140425837. The reversal of 1051140425832 is 2385240411501.

1051140425832 is a `hidden beast` number, since 1 + 0 + 511 + 40 + 4 + 25 + 83 + 2 = 666.

It is a super-2 number, since 2×10511404258322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1051140425831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33623023 + ... + 33654270.

It is an arithmetic number, because the mean of its divisors is an integer number (34984192880).

Almost surely, 21051140425832 is an apocalyptic number.

1051140425832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1051140425832 is an abundant number, since it is smaller than the sum of its proper divisors (2307342090648).

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

1051140425832 is a wasteful number, since it uses less digits than its factorization.

1051140425832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67277343 (or 67277336 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1051140425832 in words is "one trillion, fifty-one billion, one hundred forty million, four hundred twenty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 67277293 134554586 201831879 269109172 403663758 470941051 538218344 605495637 807327516 941882102 1210991274 1412823153 1614655032 1883764204 2085596083 2421982548 2825646306 3767528408 4171192166 4238469459 4843965096 5651292612 6256788249 8342384332 8476938918 11302585224 12513576498 14599172581 16684768664 16953877836 18770364747 25027152996 29198345162 33907755672 37540729494 43797517743 50054305992 58396690324 75081458988 87595035486 116793380648 131392553229 150162917976 175190070972 262785106458 350380141944 525570212916 1051140425832