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1364414141304 = 2332101809231923
BaseRepresentation
bin10011110110101101011…
…010111001001101111000
311211102210100220212111100
4103312231122321031320
5134323310010010204
62522445254131400
7200401311562614
oct23665532711570
94742710825440
101364414141304
11486710237a15
121a0523650b60
139b8821c9156
144a076398344
1525758e56a39
hex13dad6b9378

1364414141304 has 96 divisors (see below), whose sum is σ = 3736504371600. Its totient is φ = 449743142400.

The previous prime is 1364414141291. The next prime is 1364414141309. The reversal of 1364414141304 is 4031414144631.

1364414141304 is a `hidden beast` number, since 1 + 3 + 644 + 1 + 4 + 1 + 4 + 1 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364414141309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5767087 + ... + 5999009.

Almost surely, 21364414141304 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 1364414141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868252185800).

1364414141304 is an abundant number, since it is smaller than the sum of its proper divisors (2372090230296).

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

1364414141304 is a wasteful number, since it uses less digits than its factorization.

1364414141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232845 (or 232838 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 1364414141304 its reverse (4031414144631), we get a palindrome (5395828285935).

The spelling of 1364414141304 in words is "one trillion, three hundred sixty-four billion, four hundred fourteen million, one hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 809 909 1212 1618 1818 2424 2427 3236 3636 4854 6472 7272 7281 9708 14562 19416 29124 58248 81709 163418 231923 245127 326836 463846 490254 653672 695769 735381 927692 980508 1391538 1470762 1855384 1961016 2087307 2783076 2941524 4174614 5566152 5883048 8349228 16698456 23424223 46848446 70272669 93696892 140545338 187393784 187625707 210818007 281090676 375251414 421636014 562181352 562877121 750502828 843272028 1125754242 1501005656 1686544056 1688631363 2251508484 3377262726 4503016968 6754525452 13509050904 18950196407 37900392814 56850589221 75800785628 113701178442 151601571256 170551767663 227402356884 341103535326 454804713768 682207070652 1364414141304