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1040403345344 = 261113031134187
BaseRepresentation
bin11110010001111001101…
…11110010111111000000
310200110110111110000202222
433020330313302333000
5114021221224022334
62113542114230212
7135111110343536
oct17107467627700
93613414400688
101040403345344
113712616242a0
12149778b85368
1377156a9128c
14384da40a156
151c0e3872d2e
hexf23cdf2fc0

1040403345344 has 56 divisors (see below), whose sum is σ = 2253967275648. Its totient is φ = 472547255040.

The previous prime is 1040403345329. The next prime is 1040403345433. The reversal of 1040403345344 is 4435433040401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350219 + ... + 1484405.

Almost surely, 21040403345344 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 1040403345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126983637824).

1040403345344 is an abundant number, since it is smaller than the sum of its proper divisors (1213563930304).

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

1040403345344 is a wasteful number, since it uses less digits than its factorization.

1040403345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135513 (or 1135503 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 1040403345344 its reverse (4435433040401), we get a palindrome (5475836385745).

The spelling of 1040403345344 in words is "one trillion, forty billion, four hundred three million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1303 2606 5212 10424 14333 20848 28666 41696 57332 83392 114664 229328 458656 917312 1134187 2268374 4536748 9073496 12476057 18146992 24952114 36293984 49904228 72587968 99808456 199616912 399233824 798467648 1477845661 2955691322 5911382644 11822765288 16256302271 23645530576 32512604542 47291061152 65025209084 94582122304 130050418168 260100836336 520201672672 1040403345344