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1340022100440 = 233547761312211
BaseRepresentation
bin10011011111111111100…
…010101001000111011000
311202002211102222210211110
4103133333202221013120
5133423331124203230
62503333032100320
7165545665630062
oct23377742510730
94662742883743
101340022100440
114773335a5661
121978568346a0
139949591718a
1448c00a6a732
1524ccc8254b0
hex137ff8a91d8

1340022100440 has 128 divisors (see below), whose sum is σ = 4111007800320. Its totient is φ = 349275571200.

The previous prime is 1340022100399. The next prime is 1340022100471. The reversal of 1340022100440 is 440012200431.

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, 4135935 + ... + 4448145.

It is an arithmetic number, because the mean of its divisors is an integer number (32117248440).

Almost surely, 21340022100440 is an apocalyptic number.

1340022100440 is a gapful number since it is divisible by the number (10) 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 1340022100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055503900160).

1340022100440 is an abundant number, since it is smaller than the sum of its proper divisors (2770985699880).

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

1340022100440 is a wasteful number, since it uses less digits than its factorization.

1340022100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313033 (or 313029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1340022100440 its reverse (440012200431), we get a palindrome (1780034300871).

Subtracting from 1340022100440 its reverse (440012200431), we obtain a palindrome (900009900009).

The spelling of 1340022100440 in words is "one trillion, three hundred forty billion, twenty-two million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 761 940 1128 1410 1522 1880 2283 2820 3044 3805 4566 5640 6088 7610 9132 11415 15220 18264 22830 30440 35767 45660 71534 91320 107301 143068 178835 214602 286136 312211 357670 429204 536505 624422 715340 858408 936633 1073010 1248844 1430680 1561055 1873266 2146020 2497688 3122110 3746532 4292040 4683165 6244220 7493064 9366330 12488440 14673917 18732660 29347834 37465320 44021751 58695668 73369585 88043502 117391336 146739170 176087004 220108755 237592571 293478340 352174008 440217510 475185142 586956680 712777713 880435020 950370284 1187962855 1425555426 1760870040 1900740568 2375925710 2851110852 3563888565 4751851420 5702221704 7127777130 9503702840 11166850837 14255554260 22333701674 28511108520 33500552511 44667403348 55834254185 67001105022 89334806696 111668508370 134002210044 167502762555 223337016740 268004420088 335005525110 446674033480 670011050220 1340022100440