Search a number
-
+
261204341442 = 231119293710911
BaseRepresentation
bin1111001101000011111…
…1011111001011000010
3220222012210001101010020
43303100333133023002
513234421302411232
6315555015314310
724604613161152
oct3632077371302
9828183041106
10261204341442
11a085a04a870
124275897b996
131b829430925
14c8dc8b4762
156bdb7bde2c
hex3cd0fdf2c2

261204341442 has 64 divisors (see below), whose sum is σ = 601943408640. Its totient is φ = 74730859200.

The previous prime is 261204341441. The next prime is 261204341443. The reversal of 261204341442 is 244143402162.

It is an interprime number because it is at equal distance from previous prime (261204341441) and next prime (261204341443).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (261204341441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11967 + ... + 722877.

It is an arithmetic number, because the mean of its divisors is an integer number (9405365760).

Almost surely, 2261204341442 is an apocalyptic number.

261204341442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261204341442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300971704320).

261204341442 is an abundant number, since it is smaller than the sum of its proper divisors (340739067198).

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

261204341442 is a wasteful number, since it uses less digits than its factorization.

261204341442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711239.

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 261204341442 in words is "two hundred sixty-one billion, two hundred four million, three hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 293 418 586 627 879 1254 1758 3223 5567 6446 9669 11134 16701 19338 33402 61237 122474 183711 367422 710911 1421822 2132733 4265466 7820021 13507309 15640042 23460063 27014618 40521927 46920126 81043854 148580399 208296923 297160798 416593846 445741197 624890769 891482394 1249781538 2291266153 3957641537 4582532306 6873798459 7915283074 11872924611 13747596918 23745849222 43534056907 87068113814 130602170721 261204341442