Search a number
-
+
1151104432000 = 275397741691
BaseRepresentation
bin10000110000000011001…
…010111011011110000000
311002001012110001220020111
4100300003022323132000
5122324430213311000
62240450550521104
7146110304142445
oct20600312733600
94061173056214
101151104432000
114041a9496166
12167112666194
13847195bb053
143d9dc76b9cc
151ee222a4cba
hex10c032bb780

1151104432000 has 128 divisors (see below), whose sum is σ = 2891441760480. Its totient is φ = 455694336000.

The previous prime is 1151104431989. The next prime is 1151104432003. The reversal of 1151104432000 is 2344011511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151104432003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181155 + ... + 1922845.

Almost surely, 21151104432000 is an apocalyptic number.

1151104432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151104432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445720880240).

1151104432000 is an abundant number, since it is smaller than the sum of its proper divisors (1740337328480).

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

1151104432000 is an frugal number, since it uses more digits than its factorization.

1151104432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741817 (or 741795 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1151104432000 its reverse (2344011511), we get a palindrome (1153448443511).

The spelling of 1151104432000 in words is "one trillion, one hundred fifty-one billion, one hundred four million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 128 160 194 200 250 320 388 400 485 500 640 776 800 970 1000 1552 1600 1940 2000 2425 3104 3200 3880 4000 4850 6208 7760 8000 9700 12125 12416 15520 16000 19400 24250 31040 38800 48500 62080 77600 97000 155200 194000 310400 388000 741691 776000 1483382 1552000 2966764 3708455 5933528 7416910 11867056 14833820 18542275 23734112 29667640 37084550 47468224 59335280 71944027 74169100 92711375 94936448 118670560 143888054 148338200 185422750 237341120 287776108 296676400 359720135 370845500 474682240 575552216 593352800 719440270 741691000 1151104432 1186705600 1438880540 1483382000 1798600675 2302208864 2373411200 2877761080 2966764000 3597201350 4604417728 5755522160 5933528000 7194402700 8993003375 9208835456 11511044320 11867056000 14388805400 17986006750 23022088640 28777610800 35972013500 46044177280 57555221600 71944027000 115110443200 143888054000 230220886400 287776108000 575552216000 1151104432000