Search a number
-
+
1004001435255 = 357132471203817
BaseRepresentation
bin11101001110000110010…
…01100001111001110111
310112222111120211101201210
432213003021201321313
5112422143331412010
62045122031052503
7132352043251020
oct16470311417167
93488446741653
101004001435255
113578816aa485
121426ba071133
13738a52a0600
1436845a51c47
151b1b2bc1b20
hexe9c3261e77

1004001435255 has 96 divisors (see below), whose sum is σ = 2030272763904. Its totient is φ = 414652013568.

The previous prime is 1004001435253. The next prime is 1004001435293. The reversal of 1004001435255 is 5525341004001.

It is not a de Polignac number, because 1004001435255 - 21 = 1004001435253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004001435253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232107 + ... + 1435923.

It is an arithmetic number, because the mean of its divisors is an integer number (21148674624).

Almost surely, 21004001435255 is an apocalyptic number.

1004001435255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1004001435255 is an abundant number, since it is smaller than the sum of its proper divisors (1026271328649).

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

1004001435255 is a wasteful number, since it uses less digits than its factorization.

1004001435255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203905 (or 1203892 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1004001435255 its reverse (5525341004001), we get a palindrome (6529342439256).

The spelling of 1004001435255 in words is "one trillion, four billion, one million, four hundred thirty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 35 39 47 65 91 105 141 169 195 235 273 329 455 507 611 705 845 987 1183 1365 1645 1833 2535 3055 3549 4277 4935 5915 7943 9165 12831 17745 21385 23829 39715 55601 64155 119145 166803 278005 834015 1203817 3611451 6019085 8426719 15649621 18057255 25280157 42133595 46948863 56579399 78248105 109547347 126400785 169738197 203445073 234744315 282896995 328642041 396055793 547736735 610335219 735532187 848690985 1017225365 1188167379 1424115511 1643210205 1980278965 2206596561 3051676095 3677660935 4272346533 5148725309 5940836895 7120577555 9561918431 11032982805 15446175927 21361732665 25743626545 28685755293 47809592155 66933429017 77230879635 143428776465 200800287051 334667145085 1004001435255