Search a number
-
+
40239332528704 = 26172466432
BaseRepresentation
bin10010010011000111100110…
…00111110001001001000000
312021110211202021022011211021
421021203303013301021000
520233240123111404304
6221325405534555224
711322124113010051
oct1111436307611100
9167424667264737
1040239332528704
11119044501a2241
12461a79b068b14
13195b7255a8a5a
149d184625a728
1549bab627da54
hex2498f31f1240

40239332528704 has 63 divisors (see below), whose sum is σ = 84825095849977. Its totient is φ = 18935750503424.

The previous prime is 40239332528663. The next prime is 40239332528761. The reversal of 40239332528704 is 40782523393204.

The square root of 40239332528704 is 6343448.

It is a perfect power (a square), and thus also a powerful number.

40239332528704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31328200065600 + 8911132463104 = 5597160^2 + 2985152^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 862685607 + ... + 862732249.

Almost surely, 240239332528704 is an apocalyptic number.

40239332528704 is the 6343448-th square number.

It is an amenable number.

40239332528704 is an abundant number, since it is smaller than the sum of its proper divisors (44585763321273).

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

40239332528704 is an frugal number, since it uses more digits than its factorization.

40239332528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93332 (or 46662 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 40239332528704 in words is "forty trillion, two hundred thirty-nine billion, three hundred thirty-two million, five hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 46643 93286 186572 373144 746288 792931 1492576 1585862 2985152 3171724 6343448 12686896 13479827 25373792 26959654 50747584 53919308 107838616 215677232 431354464 862708928 2175569449 4351138898 8702277796 17404555592 34809111184 36984680633 69618222368 73969361266 139236444736 147938722532 295877445064 591754890128 628739570761 1183509780256 1257479141522 2367019560512 2514958283044 5029916566088 10059833132176 20119666264352 40239332528704