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1354232420032 = 261918111235479
BaseRepresentation
bin10011101101001110100…
…010101101011011000000
311210110111210012211122111
4103231032202231123000
5134141431444420112
62514043100345104
7166561066433212
oct23551642553300
94713453184574
101354232420032
11482365995038
1219a561845194
139a91b9844cb
144978c0505b2
15253601505a7
hex13b4e8ad6c0

1354232420032 has 112 divisors (see below), whose sum is σ = 2847422905600. Its totient is φ = 637250042880.

The previous prime is 1354232420017. The next prime is 1354232420041. The reversal of 1354232420032 is 2300242324531.

It is a junction number, because it is equal to n+sod(n) for n = 1354232419976 and 1354232420003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247165069 + ... + 247170547.

It is an arithmetic number, because the mean of its divisors is an integer number (25423418800).

Almost surely, 21354232420032 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 1354232420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423711452800).

1354232420032 is an abundant number, since it is smaller than the sum of its proper divisors (1493190485568).

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

1354232420032 is a wasteful number, since it uses less digits than its factorization.

1354232420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 1354232420032 its reverse (2300242324531), we get a palindrome (3654474744563).

The spelling of 1354232420032 in words is "one trillion, three hundred fifty-four billion, two hundred thirty-two million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 181 304 362 608 724 1123 1216 1448 2246 2896 3439 4492 5479 5792 6878 8984 10958 11584 13756 17968 21337 21916 27512 35936 42674 43832 55024 71872 85348 87664 104101 110048 170696 175328 203263 208202 220096 341392 350656 406526 416404 682784 813052 832808 991699 1365568 1626104 1665616 1983398 3252208 3331232 3861997 3966796 6152917 6504416 6662464 7723994 7933592 12305834 13008832 15447988 15867184 18842281 24611668 30895976 31734368 37684562 49223336 61791952 63468736 75369124 98446672 116905423 123583904 150738248 196893344 233810846 247167808 301476496 393786688 467621692 602952992 935243384 1113677977 1205905984 1870486768 2227355954 3740973536 4454711908 7481947072 8909423816 17818847632 21159881563 35637695264 42319763126 71275390528 84639526252 169279052504 338558105008 677116210016 1354232420032