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1340424004304 = 2471137139921019
BaseRepresentation
bin10011100000010111011…
…111110010001011010000
311202010212110020122021202
4103200113133302023100
5133430142021114204
62503440550210332
7165561646021340
oct23402737621320
94663773218252
101340424004304
1147751a450a10
121979493539a8
139952ac74208
1448c3c1a8d20
1524d02c62e1e
hex138177f22d0

1340424004304 has 160 divisors (see below), whose sum is σ = 3327953664000. Its totient is φ = 507741073920.

The previous prime is 1340424004273. The next prime is 1340424004327. The reversal of 1340424004304 is 4034004240431.

It is a happy number.

It is a super-2 number, since 2×13404240043042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63761507 + ... + 63782525.

It is an arithmetic number, because the mean of its divisors is an integer number (20799710400).

Almost surely, 21340424004304 is an apocalyptic number.

1340424004304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340424004304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663976832000).

1340424004304 is an abundant number, since it is smaller than the sum of its proper divisors (1987529659696).

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

1340424004304 is a wasteful number, since it uses less digits than its factorization.

1340424004304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22481 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 1340424004304 its reverse (4034004240431), we get a palindrome (5374428244735).

The spelling of 1340424004304 in words is "one trillion, three hundred forty billion, four hundred twenty-four million, four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 518 592 616 814 1036 1232 1399 1628 2072 2798 2849 3256 4144 5596 5698 6512 9793 11192 11396 15389 19586 21019 22384 22792 30778 39172 42038 45584 51763 61556 78344 84076 103526 107723 123112 147133 156688 168152 207052 215446 231209 246224 294266 336304 362341 414104 430892 462418 569393 588532 724682 777703 828208 861784 924836 1138786 1177064 1449364 1555406 1618463 1723568 1849672 2277572 2354128 2898728 3110812 3236926 3699344 3985751 4555144 5443921 5797456 6221624 6473852 7971502 8554733 9110288 10887842 12443248 12947704 15943004 17109466 21775684 25895408 29405581 31886008 34218932 43551368 58811162 59883131 63772016 68437864 87102736 117622324 119766262 136875728 205839067 235244648 239532524 323461391 411678134 470489296 479065048 646922782 823356268 958130096 1088006497 1293845564 1646712536 2176012994 2264229737 2587691128 3293425072 4352025988 4528459474 5175382256 7616045479 8704051976 9056918948 11968071467 15232090958 17408103952 18113837896 23936142934 30464181916 36227675792 47872285868 60928363832 83776500269 95744571736 121856727664 167553000538 191489143472 335106001076 670212002152 1340424004304