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1040584028432 = 241326373325951
BaseRepresentation
bin11110010010001111010…
…01000011000100010000
310200110221002102200101012
433021013221003010100
5114022104002402212
62114012051030052
7135115433205434
oct17110751030420
93613832380335
101040584028432
11371344613163
1214980959b328
1377185344050
14385164009c4
151c104663922
hexf247a43110

1040584028432 has 80 divisors (see below), whose sum is σ = 2182531642368. Its totient is φ = 477772300800.

The previous prime is 1040584028377. The next prime is 1040584028441. The reversal of 1040584028432 is 2348204850401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1040584028432.

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, 40085057 + ... + 40111007.

Almost surely, 21040584028432 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 1040584028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091265821184).

1040584028432 is an abundant number, since it is smaller than the sum of its proper divisors (1141947613936).

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

1040584028432 is a wasteful number, since it uses less digits than its factorization.

1040584028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26968 (or 26962 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

Adding to 1040584028432 its reverse (2348204850401), we get a palindrome (3388788878833).

The spelling of 1040584028432 in words is "one trillion, forty billion, five hundred eighty-four million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 263 526 733 1052 1466 2104 2932 3419 4208 5864 6838 9529 11728 13676 19058 25951 27352 38116 51902 54704 76232 103804 152464 192779 207608 337363 385558 415216 674726 771116 1349452 1542232 2506127 2698904 3084464 5012254 5397808 6825113 10024508 13650226 19022083 20049016 27300452 38044166 40098032 54600904 76088332 88726469 109201808 152176664 177452938 247287079 304353328 354905876 494574158 709811752 989148316 1419623504 1978296632 3956593264 5002807829 10005615658 20011231316 40022462632 65036501777 80044925264 130073003554 260146007108 520292014216 1040584028432