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1141233403014 = 232294357788117
BaseRepresentation
bin10000100110110110110…
…011111100010010000110
311001002201111222200002100
4100212312303330102012
5122144221222344024
62232135252252530
7145310553604335
oct20466663742206
94032644880070
101141233403014
113aaaa355aa71
12165218911146
1383805548bb3
143d3437bbd1c
151ea458c07c9
hex109b6cfc486

1141233403014 has 96 divisors (see below), whose sum is σ = 2621989861920. Its totient is φ = 358125981696.

The previous prime is 1141233402983. The next prime is 1141233403027. The reversal of 1141233403014 is 4103043321411.

Adding to 1141233403014 its reverse (4103043321411), we get a palindrome (5244276724425).

1141233403014 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 3 + 340 + 301 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12907284 + ... + 12995400.

It is an arithmetic number, because the mean of its divisors is an integer number (27312394395).

Almost surely, 21141233403014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141233403014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310994930960).

1141233403014 is an abundant number, since it is smaller than the sum of its proper divisors (1480756458906).

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

1141233403014 is a wasteful number, since it uses less digits than its factorization.

1141233403014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88774 (or 88771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1141233403014 in words is "one trillion, one hundred forty-one billion, two hundred thirty-three million, four hundred three thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 577 774 1154 1247 1731 2494 3462 3741 5193 7482 10386 11223 16733 22446 24811 33466 49622 50199 74433 88117 100398 148866 150597 176234 223299 264351 301194 446598 528702 719519 793053 1439038 1586106 2158557 2555393 3789031 4317114 5110786 6475671 7578062 7666179 11367093 12951342 15332358 22734186 22998537 34101279 45997074 50843509 68202558 101687018 109881899 152530527 219763798 305061054 329645697 457591581 659291394 915183162 988937091 1474461761 1977874182 2186270887 2948923522 4372541774 4423385283 6558812661 8846770566 13117625322 13270155849 19676437983 26540311698 39352875966 63401855723 126803711446 190205567169 380411134338 570616701507 1141233403014