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1317001330432 = 28175912740387
BaseRepresentation
bin10011001010100011011…
…001010111111100000000
311122220102002100112011001
4103022203121113330000
5133034204320033212
62445004433101344
7164102343413404
oct23124331277400
94586362315131
101317001330432
1146859aa0a3a7
121932b10b7854
1397267465288
1447a594d3104
15243d17b1657
hex132a3657f00

1317001330432 has 144 divisors (see below), whose sum is σ = 2853034168320. Its totient is φ = 604448538624.

The previous prime is 1317001330409. The next prime is 1317001330487. The reversal of 1317001330432 is 2340331007131.

It is a self number, because there is not a number n which added to its sum of digits gives 1317001330432.

It is a congruent number.

It is an unprimeable number.

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, 32589343 + ... + 32629729.

It is an arithmetic number, because the mean of its divisors is an integer number (19812737280).

Almost surely, 21317001330432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317001330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426517084160).

1317001330432 is an abundant number, since it is smaller than the sum of its proper divisors (1536032837888).

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

1317001330432 is a wasteful number, since it uses less digits than its factorization.

1317001330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40606 (or 40592 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 1317001330432 its reverse (2340331007131), we get a palindrome (3657332337563).

The spelling of 1317001330432 in words is "one trillion, three hundred seventeen billion, one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 127 128 136 236 254 256 272 472 508 544 944 1003 1016 1088 1888 2006 2032 2159 2176 3776 4012 4064 4318 4352 7493 7552 8024 8128 8636 14986 15104 16048 16256 17272 29972 32096 32512 34544 40387 59944 64192 69088 80774 119888 127381 128384 138176 161548 239776 254762 256768 276352 323096 479552 509524 552704 646192 686579 959104 1019048 1292384 1373158 1918208 2038096 2382833 2584768 2746316 4076192 4765666 5129149 5169536 5492632 8152384 9531332 10258298 10339072 10985264 16304768 19062664 20516596 21970528 32609536 38125328 40508161 41033192 43941056 76250656 81016322 82066384 87195533 87882112 152501312 162032644 164132768 174391066 175764224 302619791 305002624 324065288 328265536 348782132 605239582 610005248 648130576 656531072 697564264 1210479164 1296261152 1313062144 1395128528 2420958328 2592522304 2790257056 4841916656 5144536447 5185044608 5580514112 9683833312 10289072894 10370089216 11161028224 19367666624 20578145788 22322056448 38735333248 41156291576 77470666496 82312583152 164625166304 329250332608 658500665216 1317001330432