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1012002414304 = 25722922255507
BaseRepresentation
bin11101011101000000000…
…10110101111011100000
310120202011012002020122011
432232200002311323200
5113040040104224204
62052524003522304
7133054235406400
oct16564002657340
93522135066564
101012002414304
11360207a86462
12144171689394
137457ba9723b
1436da44d2800
151b4d0312304
hexeba00b5ee0

1012002414304 has 72 divisors (see below), whose sum is σ = 2397585876840. Its totient is φ = 418759600896.

The previous prime is 1012002414299. The next prime is 1012002414331. The reversal of 1012002414304 is 4034142002101.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11082282 + ... + 11173225.

It is an arithmetic number, because the mean of its divisors is an integer number (33299803845).

Almost surely, 21012002414304 is an apocalyptic number.

1012002414304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1012002414304 is an abundant number, since it is smaller than the sum of its proper divisors (1385583462536).

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

1012002414304 is a wasteful number, since it uses less digits than its factorization.

1012002414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22255560 (or 22255545 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1012002414304 its reverse (4034142002101), we get a palindrome (5046144416405).

The spelling of 1012002414304 in words is "one trillion, twelve billion, two million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 22255507 44511014 89022028 155788549 178044056 311577098 356088112 623154196 645409703 712176224 1090519843 1246308392 1290819406 2181039686 2492616784 2581638812 4362079372 4517867921 4985233568 5163277624 8724158744 9035735842 10326555248 17448317488 18071471684 20653110496 31625075447 34896634976 36142943368 63250150894 72285886736 126500301788 144571773472 253000603576 506001207152 1012002414304