Search a number
-
+
1141303305504 = 25323516894613
BaseRepresentation
bin10000100110111010111…
…110100110010100100000
311001002220101112002021110
4100212322332212110200
5122144342121234004
62232150230423320
7145312363013565
oct20467276462440
94032811462243
101141303305504
11400029a6481a
12165238201b40
1383816b8220b
143d34cbb686c
151ea4bacc589
hex109bafa6520

1141303305504 has 48 divisors (see below), whose sum is σ = 3126178625472. Its totient is φ = 363893806848.

The previous prime is 1141303305497. The next prime is 1141303305509. The reversal of 1141303305504 is 4055033031411.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1141303305509) 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 7 ways as a sum of consecutive naturals, for example, 258445099 + ... + 258449514.

It is an arithmetic number, because the mean of its divisors is an integer number (65128721364).

Almost surely, 21141303305504 is an apocalyptic number.

It is an amenable number.

1141303305504 is an abundant number, since it is smaller than the sum of its proper divisors (1984875319968).

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

1141303305504 is a wasteful number, since it uses less digits than its factorization.

1141303305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516894649 (or 516894641 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 1141303305504 its reverse (4055033031411), we get a palindrome (5196336336915).

The spelling of 1141303305504 in words is "one trillion, one hundred forty-one billion, three hundred three million, three hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 516894613 1033789226 1550683839 2067578452 3101367678 4135156904 6202735356 8270313808 11888576099 12405470712 16540627616 23777152198 24810941424 35665728297 47554304396 49621882848 71331456594 95108608792 142662913188 190217217584 285325826376 380434435168 570651652752 1141303305504