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1330423600640 = 2954756919433
BaseRepresentation
bin10011010111000011011…
…011010001011000000000
311201012001111201111102212
4103113003123101120000
5133244201420210030
62455104351001252
7165056065005461
oct23270333213000
94635044644385
101330423600640
114732584906a2
12195a18209228
13985c61750b4
144856dd7cd68
1524919d25595
hex135c36d1600

1330423600640 has 160 divisors (see below), whose sum is σ = 3263662005120. Its totient is φ = 519904559104.

The previous prime is 1330423600637. The next prime is 1330423600697. The reversal of 1330423600640 is 460063240331.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1330423600597 and 1330423600606.

It is a congruent number.

It is an unprimeable number.

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, 68452364 + ... + 68471796.

It is an arithmetic number, because the mean of its divisors is an integer number (20397887532).

Almost surely, 21330423600640 is an apocalyptic number.

1330423600640 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 1330423600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631831002560).

1330423600640 is an abundant number, since it is smaller than the sum of its proper divisors (1933238404480).

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

1330423600640 is an equidigital number, since it uses as much as digits as its factorization.

1330423600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20072 (or 20056 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 1330423600640 its reverse (460063240331), we get a palindrome (1790486840971).

The spelling of 1330423600640 in words is "one trillion, three hundred thirty billion, four hundred twenty-three million, six hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 512 569 640 752 940 1138 1280 1504 1880 2276 2560 2845 3008 3760 4552 5690 6016 7520 9104 11380 12032 15040 18208 19433 22760 24064 26743 30080 36416 38866 45520 53486 60160 72832 77732 91040 97165 106972 120320 133715 145664 155464 182080 194330 213944 267430 291328 310928 364160 388660 427888 534860 621856 728320 777320 855776 913351 1069720 1243712 1456640 1554640 1711552 1826702 2139440 2487424 3109280 3423104 3653404 4278880 4566755 4974848 6218560 6846208 7306808 8557760 9133510 9949696 11057377 12437120 13692416 14613616 17115520 18267020 22114754 24874240 29227232 34231040 36534040 44229508 49748480 55286885 58454464 68462080 73068080 88459016 110573770 116908928 146136160 176918032 221147540 233817856 292272320 353836064 442295080 467635712 519696719 584544640 707672128 884590160 1039393438 1169089280 1415344256 1769180320 2078786876 2338178560 2598483595 2830688512 3538360640 4157573752 5196967190 5661377024 7076721280 8315147504 10393934380 14153442560 16630295008 20787868760 28306885120 33260590016 41575737520 66521180032 83151475040 133042360064 166302950080 266084720128 332605900160 665211800320 1330423600640