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1130902723440 = 243257224385461
BaseRepresentation
bin10000011101001111000…
…011100001101101110000
311000010001112222202212100
4100131033003201231300
5122012042044122230
62223310214100400
7144463552354110
oct20351703415560
94003045882770
101130902723440
113a6682117556
1216321504a700
138284a1ab549
143ca4377b040
151e63d993660
hex1074f0e1b70

1130902723440 has 120 divisors (see below), whose sum is σ = 4340512376928. Its totient is φ = 258492049920.

The previous prime is 1130902723393. The next prime is 1130902723459. The reversal of 1130902723440 is 443272090311.

It is a happy number.

1130902723440 is a `hidden beast` number, since 1 + 1 + 309 + 0 + 2 + 7 + 2 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1130902723395 and 1130902723404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112187691 + ... + 112197770.

Almost surely, 21130902723440 is an apocalyptic number.

1130902723440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130902723440 is an abundant number, since it is smaller than the sum of its proper divisors (3209609653488).

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

1130902723440 is a wasteful number, since it uses less digits than its factorization.

1130902723440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224385487 (or 224385478 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1130902723440 in words is "one trillion, one hundred thirty billion, nine hundred two million, seven hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 224385461 448770922 673156383 897541844 1121927305 1346312766 1570698227 1795083688 2019469149 2243854610 2692625532 3141396454 3365781915 3590167376 4038938298 4487709220 4712094681 5385251064 6282792908 6731563830 7853491135 8077876596 8975418440 9424189362 10097345745 10770502128 12565585816 13463127660 14136284043 15706982270 16155753192 17950836880 18848378724 20194691490 23560473405 25131171632 26926255320 28272568086 31413964540 32311506384 37696757448 40389382980 47120946810 53852510640 56545136172 62827929080 70681420215 75393514896 80778765960 94241893620 113090272344 125655858160 141362840430 161557531920 188483787240 226180544688 282725680860 376967574480 565451361720 1130902723440