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1144349936433 = 341110712003209
BaseRepresentation
bin10000101001110000100…
…100100100101100110001
311001101202201021222020000
4100221300210210230301
5122222112040431213
62233412422340213
7145451025652524
oct20516044445461
94041681258200
101144349936433
11401352784720
1216594858a669
1383bb1112502
143d55b67abbb
151eb792d2c73
hex10a70924b31

1144349936433 has 40 divisors (see below), whose sum is σ = 1882295379360. Its totient is φ = 687063625920.

The previous prime is 1144349936413. The next prime is 1144349936459. The reversal of 1144349936433 is 3346399434411.

1144349936433 is a `hidden beast` number, since 1 + 144 + 3 + 499 + 3 + 6 + 4 + 3 + 3 = 666.

It is not a de Polignac number, because 1144349936433 - 216 = 1144349870897 is a prime.

It is a super-2 number, since 2×11443499364332 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1144349936433.

It is not an unprimeable number, because it can be changed into a prime (1144349936413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5906268 + ... + 6096941.

It is an arithmetic number, because the mean of its divisors is an integer number (47057384484).

Almost surely, 21144349936433 is an apocalyptic number.

It is an amenable number.

1144349936433 is a deficient number, since it is larger than the sum of its proper divisors (737945442927).

1144349936433 is a wasteful number, since it uses less digits than its factorization.

1144349936433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12003339 (or 12003330 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 1144349936433 in words is "one trillion, one hundred forty-four billion, three hundred forty-nine million, nine hundred thirty-six thousand, four hundred thirty-three".

Divisors: 1 3 9 11 27 33 81 99 107 297 321 891 963 1177 2889 3531 8667 10593 31779 95337 12003209 36009627 108028881 132035299 324086643 396105897 972259929 1188317691 1284343363 3564953073 3853030089 10694859219 11559090267 14127776993 34677270801 42383330979 104031812403 127149992937 381449978811 1144349936433