Search a number
-
+
10133221440 = 263513777047
BaseRepresentation
bin10010110111111110…
…01011000001000000
3222011012102222120210
421123333023001000
5131223101041230
64353302034120
7506052650436
oct113377130100
928135388523
1010133221440
11432aa37281
121b69718940
13c56493324
146c1b20d56
153e4925eb0
hex25bfcb040

10133221440 has 112 divisors (see below), whose sum is σ = 32408237952. Its totient is φ = 2682433536.

The previous prime is 10133221391. The next prime is 10133221453. The reversal of 10133221440 is 4412233101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92997 + ... + 170043.

Almost surely, 210133221440 is an apocalyptic number.

10133221440 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 10133221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204118976).

10133221440 is an abundant number, since it is smaller than the sum of its proper divisors (22275016512).

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

10133221440 is a wasteful number, since it uses less digits than its factorization.

10133221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77204 (or 77194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10133221440 its reverse (4412233101), we get a palindrome (14545454541).

The spelling of 10133221440 in words is "ten billion, one hundred thirty-three million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 137 160 192 240 274 320 411 480 548 685 822 960 1096 1370 1644 2055 2192 2740 3288 4110 4384 5480 6576 8220 8768 10960 13152 16440 21920 26304 32880 43840 65760 77047 131520 154094 231141 308188 385235 462282 616376 770470 924564 1155705 1232752 1540940 1849128 2311410 2465504 3081880 3698256 4622820 4931008 6163760 7396512 9245640 10555439 12327520 14793024 18491280 21110878 24655040 31666317 36982560 42221756 52777195 63332634 73965120 84443512 105554390 126665268 158331585 168887024 211108780 253330536 316663170 337774048 422217560 506661072 633326340 675548096 844435120 1013322144 1266652680 1688870240 2026644288 2533305360 3377740480 5066610720 10133221440