Search a number
-
+
1040133440340 = 2232517339912889
BaseRepresentation
bin11110010001011001100…
…10001100001101010100
310200102202200120102201100
433020230302030031110
5114020143130042330
62113455233230100
7135101322236511
oct17105462141524
93612680512640
101040133440340
11371133235705
12149702702330
1377112b9c787
14384b262c308
151c0c9d0b060
hexf22cc8c354

1040133440340 has 72 divisors (see below), whose sum is σ = 3340663882920. Its totient is φ = 261053097984.

The previous prime is 1040133440267. The next prime is 1040133440371. The reversal of 1040133440340 is 430443310401.

1040133440340 is a `hidden beast` number, since 10 + 40 + 133 + 440 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 313759060164 + 726374380176 = 560142^2 + 852276^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169953385 + ... + 169959504.

It is an arithmetic number, because the mean of its divisors is an integer number (46398109485).

Almost surely, 21040133440340 is an apocalyptic number.

1040133440340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040133440340 is an abundant number, since it is smaller than the sum of its proper divisors (2300530442580).

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

1040133440340 is a wasteful number, since it uses less digits than its factorization.

1040133440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339912921 (or 339912916 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1040133440340 its reverse (430443310401), we get a palindrome (1470576750741).

The spelling of 1040133440340 in words is "one trillion, forty billion, one hundred thirty-three million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 339912889 679825778 1019738667 1359651556 1699564445 2039477334 3059216001 3399128890 4078954668 5098693335 5778519113 6118432002 6798257780 10197386670 11557038226 12236864004 15296080005 17335557339 20394773340 23114076452 28892595565 30592160010 34671114678 52006672017 57785191130 61184320020 69342229356 86677786695 104013344034 115570382260 173355573390 208026688068 260033360085 346711146780 520066720170 1040133440340