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1340433432304 = 2419231338114327
BaseRepresentation
bin10011100000011000000…
…011101111111011110000
311202010220002222122001221
4103200120003233323300
5133430201424313204
62503441524234424
7165562122116251
oct23403003577360
94663802878057
101340433432304
1147752480034a
1219795053ba14
139952cbc5605
1448c3d540b28
1524d039c6654
hex138180efef0

1340433432304 has 80 divisors (see below), whose sum is σ = 2853050964480. Its totient is φ = 607248195840.

The previous prime is 1340433432301. The next prime is 1340433432341. The reversal of 1340433432304 is 4032343340431.

It is a self number, because there is not a number n which added to its sum of digits gives 1340433432304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340433432301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93552789 + ... + 93567115.

It is an arithmetic number, because the mean of its divisors is an integer number (35663137056).

Almost surely, 21340433432304 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 1340433432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426525482240).

1340433432304 is an abundant number, since it is smaller than the sum of its proper divisors (1512617532176).

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

1340433432304 is a wasteful number, since it uses less digits than its factorization.

1340433432304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27758 (or 27752 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 1340433432304 its reverse (4032343340431), we get a palindrome (5372776772735).

The spelling of 1340433432304 in words is "one trillion, three hundred forty billion, four hundred thirty-three million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 13381 14327 26762 28654 53524 57308 107048 114616 214096 229232 254239 272213 307763 329521 508478 544426 615526 659042 1016956 1088852 1231052 1318084 2033912 2177704 2462104 2636168 4067824 4355408 4924208 5272336 5847497 6260899 11694994 12521798 23389988 25043596 46779976 50087192 93559952 100174384 191709587 383419174 766838348 1533676696 3067353392 3642482153 4409320501 7284964306 8818641002 14569928612 17637282004 29139857224 35274564008 58279714448 70549128016 83777089519 167554179038 335108358076 670216716152 1340433432304