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1314226465540 = 225431811118797
BaseRepresentation
bin10011000111111110000…
…000000110101100000100
311122122020200221210010021
4103013332000012230010
5133013013433344130
62443425230104524
7163643520432322
oct23077600065404
94578220853107
101314226465540
114673a663a32a
1219285794b144
1396c145c88a1
1447874b72d12
15242bcd8e37a
hex131fe006b04

1314226465540 has 48 divisors (see below), whose sum is σ = 2766767238144. Its totient is φ = 524378326400.

The previous prime is 1314226465537. The next prime is 1314226465543. The reversal of 1314226465540 is 455646224131.

It is an interprime number because it is at equal distance from previous prime (1314226465537) and next prime (1314226465543).

It is not an unprimeable number, because it can be changed into a prime (1314226465543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69907422 + ... + 69926218.

It is an arithmetic number, because the mean of its divisors is an integer number (57640984128).

Almost surely, 21314226465540 is an apocalyptic number.

1314226465540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314226465540 is an abundant number, since it is smaller than the sum of its proper divisors (1452540772604).

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

1314226465540 is a wasteful number, since it uses less digits than its factorization.

1314226465540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27348 (or 27346 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 1314226465540 in words is "one trillion, three hundred fourteen billion, two hundred twenty-six million, four hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 431 862 1724 2155 4310 8111 8620 16222 18797 32444 37594 40555 75188 81110 93985 162220 187970 375940 3495841 6991682 8101507 13983364 16203014 17479205 32406028 34958410 40507535 69916820 81015070 152462467 162030140 304924934 609849868 762312335 1524624670 3049249340 65711323277 131422646554 262845293108 328556616385 657113232770 1314226465540