Search a number
-
+
1040710240232 = 2313293124146187
BaseRepresentation
bin11110010010011110010…
…10100000011111101000
310200111020212220220102022
433021033022200133220
5114022333310141412
62114032400124012
7135121525041035
oct17111712403750
93614225826368
101040710240232
113713a9887a33
12149843906608
13771a55344a0
143852909638c
151c110794a72
hexf24f2a07e8

1040710240232 has 128 divisors (see below), whose sum is σ = 2253383193600. Its totient is φ = 446932684800.

The previous prime is 1040710240177. The next prime is 1040710240247. The reversal of 1040710240232 is 2320420170401.

1040710240232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 22509443 + ... + 22555629.

It is an arithmetic number, because the mean of its divisors is an integer number (17604556200).

Almost surely, 21040710240232 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 1040710240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126691596800).

1040710240232 is an abundant number, since it is smaller than the sum of its proper divisors (1212672953368).

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

1040710240232 is a wasteful number, since it uses less digits than its factorization.

1040710240232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46507 (or 46503 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 1040710240232 in words is "one trillion, forty billion, seven hundred ten million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 232 241 248 377 403 482 754 806 899 964 1508 1612 1798 1928 3016 3133 3224 3596 6266 6989 7192 7471 11687 12532 13978 14942 23374 25064 27956 29884 46187 46748 55912 59768 90857 92374 93496 97123 181714 184748 194246 216659 363428 369496 388492 433318 600431 726856 776984 866636 1200862 1339423 1431797 1733272 2401724 2678846 2816567 2863594 4803448 5357692 5633134 5727188 10715384 11131067 11266268 11454376 17412499 18613361 22262134 22532536 34824998 37226722 41522113 44524268 69649996 74453444 83044226 89048536 139299992 144703871 148906888 166088452 289407742 322800943 332176904 345063077 539787469 578815484 645601886 690126154 1079574938 1157630968 1291203772 1380252308 2159149876 2582407544 2760504616 4196412259 4318299752 4485820001 8392824518 8971640002 10006829233 16785649036 17943280004 20013658466 33571298072 35886560008 40027316932 80054633864 130088780029 260177560058 520355120116 1040710240232