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250190013040 = 245114123329761
BaseRepresentation
bin1110100100000001111…
…1001010001001110000
3212220210011122112000021
43221000133022021300
513044342120404130
6310534040133224
724034641010432
oct3510037121160
9786704575007
10250190013040
1197117815920
12405a4167214
131a79255a546
14c175b54652
15679484e37a
hex3a407ca270

250190013040 has 160 divisors (see below), whose sum is σ = 652862089152. Its totient is φ = 88375296000.

The previous prime is 250190012993. The next prime is 250190013043. The reversal of 250190013040 is 40310091052.

It is a junction number, because it is equal to n+sod(n) for n = 250190012996 and 250190013014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250190013043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8391760 + ... + 8421520.

Almost surely, 2250190013040 is an apocalyptic number.

250190013040 is a gapful number since it is divisible by the number (20) 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 250190013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326431044576).

250190013040 is an abundant number, since it is smaller than the sum of its proper divisors (402672076112).

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

250190013040 is a wasteful number, since it uses less digits than its factorization.

250190013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30059 (or 30053 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 250190013040 in words is "two hundred fifty billion, one hundred ninety million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 233 328 410 440 451 466 656 820 880 902 932 1165 1640 1804 1864 2255 2330 2563 3280 3608 3728 4510 4660 5126 7216 9020 9320 9553 10252 12815 18040 18640 19106 20504 25630 29761 36080 38212 41008 47765 51260 59522 76424 95530 102520 105083 119044 148805 152848 191060 205040 210166 238088 297610 327371 382120 420332 476176 525415 595220 654742 764240 840664 1050830 1190440 1220201 1309484 1636855 1681328 2101660 2380880 2440402 2618968 3273710 4203320 4880804 5237936 6101005 6547420 6934313 8406640 9761608 12202010 13094840 13422211 13868626 19523216 24404020 26189680 26844422 27737252 34671565 48808040 53688844 55474504 67111055 69343130 76277443 97616080 107377688 110949008 134222110 138686260 152554886 214755376 268444220 277372520 284306833 305109772 381387215 536888440 554745040 568613666 610219544 762774430 1073776880 1137227332 1220439088 1421534165 1525548860 2274454664 2843068330 3051097720 3127375163 4548909328 5686136660 6102195440 6254750326 11372273320 12509500652 15636875815 22744546640 25019001304 31273751630 50038002608 62547503260 125095006520 250190013040