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9138730040 = 23511891092141
BaseRepresentation
bin10001000001011010…
…11111010000111000
3212120220010120211222
420200231133100320
5122204003330130
64110454411212
7442315631546
oct104055372070
925526116758
109138730040
11396a636160
121930660b08
13b2843458b
14629a08d96
15387481ce5
hex220b5f438

9138730040 has 128 divisors (see below), whose sum is σ = 22902264000. Its totient is φ = 3254169600.

The previous prime is 9138730039. The next prime is 9138730061. The reversal of 9138730040 is 400378319.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4267370 + ... + 4269510.

Almost surely, 29138730040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9138730040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451132000).

9138730040 is an abundant number, since it is smaller than the sum of its proper divisors (13763533960).

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

9138730040 is a wasteful number, since it uses less digits than its factorization.

9138730040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 9138730040 is about 95596.7051733479. The cubic root of 9138730040 is about 2090.7171550483.

The spelling of 9138730040 in words is "nine billion, one hundred thirty-eight million, seven hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 89 109 110 178 218 220 356 436 440 445 545 712 872 890 979 1090 1199 1780 1958 2141 2180 2398 3560 3916 4282 4360 4796 4895 5995 7832 8564 9592 9701 9790 10705 11990 17128 19402 19580 21410 23551 23980 38804 39160 42820 47102 47960 48505 77608 85640 94204 97010 106711 117755 188408 190549 194020 213422 233369 235510 381098 388040 426844 466738 471020 533555 762196 853688 933476 942040 952745 1067110 1166845 1524392 1866952 1905490 2096039 2134220 2333690 2567059 3810980 4192078 4268440 4667380 5134118 7621960 8384156 9334760 10268236 10480195 12835295 16768312 20536472 20769841 20960390 25670590 41539682 41920780 51341180 83079364 83841560 102682360 103849205 166158728 207698410 228468251 415396820 456936502 830793640 913873004 1142341255 1827746008 2284682510 4569365020 9138730040