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1141241125464 = 2333112320883493
BaseRepresentation
bin10000100110110111010…
…001011001101001011000
311001002202001112000022000
4100212313101121221120
5122144230212003324
62232140130001000
7145311006336636
oct20466721315130
94032661460260
101141241125464
113aaaa7954a60
1216521b416160
1383807020bab
143d34482c356
151ea463e89c9
hex109b7459a58

1141241125464 has 128 divisors (see below), whose sum is σ = 3608667763200. Its totient is φ = 330794513280.

The previous prime is 1141241125463. The next prime is 1141241125489. The reversal of 1141241125464 is 4645211421411.

1141241125464 is a `hidden beast` number, since 1 + 141 + 2 + 41 + 12 + 5 + 464 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141241125463) 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 31 ways as a sum of consecutive naturals, for example, 10387099 + ... + 10496394.

It is an arithmetic number, because the mean of its divisors is an integer number (28192716900).

Almost surely, 21141241125464 is an apocalyptic number.

It is an amenable number.

1141241125464 is an abundant number, since it is smaller than the sum of its proper divisors (2467426637736).

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

1141241125464 is a wasteful number, since it uses less digits than its factorization.

1141241125464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20883542 (or 20883532 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 1141241125464 its reverse (4645211421411), we get a palindrome (5786452546875).

The spelling of 1141241125464 in words is "one trillion, one hundred forty-one billion, two hundred forty-one million, one hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648 20883493 41766986 62650479 83533972 125300958 167067944 187951437 229718423 250601916 375902874 459436846 480320339 501203832 563854311 689155269 751805748 918873692 960640678 1127708622 1378310538 1440961017 1503611496 1837747384 1921281356 2067465807 2255417244 2756621076 2881922034 3842562712 4134931614 4322883051 4510834488 5283523729 5513242152 5763844068 6202397421 8269863228 8645766102 10567047458 11527688136 12404794842 12968649153 15850571187 16539726456 17291532204 21134094916 24809589684 25937298306 31701142374 34583064408 42268189832 47551713561 49619179368 51874596612 63402284748 95103427122 103749193224 126804569496 142655140683 190206854244 285310281366 380413708488 570620562732 1141241125464