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1322141491680 = 25352994981429
BaseRepresentation
bin10011001111010101110…
…001100010000111100000
311200101200022110202210120
4103033111301202013200
5133130221210213210
62451214452400240
7164343620152302
oct23172561420740
94611608422716
101322141491680
1146a798449649
121942a6616080
13978a63596c9
1447dc603b972
15245d2ba2270
hex133d5c621e0

1322141491680 has 96 divisors (see below), whose sum is σ = 4308357664800. Its totient is φ = 340413437952.

The previous prime is 1322141491669. The next prime is 1322141491687. The reversal of 1322141491680 is 861941412231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322141491687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47476795 + ... + 47504634.

It is an arithmetic number, because the mean of its divisors is an integer number (44878725675).

Almost surely, 21322141491680 is an apocalyptic number.

1322141491680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322141491680 is an abundant number, since it is smaller than the sum of its proper divisors (2986216173120).

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

1322141491680 is a wasteful number, since it uses less digits than its factorization.

1322141491680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94981476 (or 94981468 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1322141491680 in words is "one trillion, three hundred twenty-two billion, one hundred forty-one million, four hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 94981429 189962858 284944287 379925716 474907145 569888574 759851432 949814290 1139777148 1424721435 1519702864 1899628580 2279554296 2754461441 2849442870 3039405728 3799257160 4559108592 5508922882 5698885740 7598514320 8263384323 9118217184 11017845764 11397771480 13772307205 15197028640 16526768646 22035691528 22795542960 27544614410 33053537292 41316921615 44071383056 45591085920 55089228820 66107074584 82633843230 88142766112 110178457640 132214149168 165267686460 220356915280 264428298336 330535372920 440713830560 661070745840 1322141491680