Search a number
-
+
3554145725442 = 2313677934724809
BaseRepresentation
bin110011101110000011100…
…101111110110000000010
3110120202212112012211111020
4303232003211332300002
5431212342301203232
611320430233330310
7514531021130334
oct63560345766002
913522775184436
103554145725442
1111503396730a4
12494998266996
131ca2015a2470
14c4043295454
15626b8b79e2c
hex33b8397ec02

3554145725442 has 128 divisors (see below), whose sum is σ = 7890675609600. Its totient is φ = 1060516993536.

The previous prime is 3554145725419. The next prime is 3554145725443. The reversal of 3554145725442 is 2445275414553.

3554145725442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3554145725443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143247934 + ... + 143272742.

It is an arithmetic number, because the mean of its divisors is an integer number (61645903200).

Almost surely, 23554145725442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3554145725442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945337804800).

3554145725442 is an abundant number, since it is smaller than the sum of its proper divisors (4336529884158).

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

3554145725442 is a wasteful number, since it uses less digits than its factorization.

3554145725442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25320.

The product of its digits is 13440000, while the sum is 51.

The spelling of 3554145725442 in words is "three trillion, five hundred fifty-four billion, one hundred forty-five million, seven hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 67 78 79 134 158 201 237 347 402 474 694 871 1027 1041 1742 2054 2082 2613 3081 4511 5226 5293 6162 9022 10586 13533 15879 23249 24809 27066 27413 31758 46498 49618 54826 68809 69747 74427 82239 137618 139494 148854 164478 206427 302237 322517 356369 412854 604474 645034 712738 906711 967551 1069107 1662203 1813422 1836671 1935102 1959911 2138214 3324406 3673342 3919822 4986609 5510013 5879733 8608723 9973218 11020026 11759466 17217446 21608639 23876723 25478843 25826169 43217278 47753446 50957686 51652338 64825917 71630169 76436529 111913399 129651834 131314037 143260338 152873058 223826798 262628074 335740197 393942111 576784441 671480394 680089117 787884222 1153568882 1360178234 1707082481 1730353323 2040267351 3414164962 3460706646 4080534702 5121247443 7498197733 8841158521 10242494886 14996395466 17682317042 22494593199 26523475563 44989186398 45565970839 53046951126 91131941678 136697912517 273395825034 592357620907 1184715241814 1777072862721 3554145725442