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4025340435204 = 22321122423381383
BaseRepresentation
bin111010100100111000111…
…111001001101100000100
3112020211002220012012001100
4322210320333021230010
51011422344122411304
612321114343300100
7563551455104004
oct72447077115404
915224086165040
104025340435204
11131215680a700
1255017a44a630
13232784a196aa
14dcb829c4004
156ea959c7439
hex3a938fc9b04

4025340435204 has 108 divisors (see below), whose sum is σ = 11188918698048. Its totient is φ = 1219293509280.

The previous prime is 4025340435203. The next prime is 4025340435209.

4025340435204 is a `hidden beast` number, since 4 + 0 + 2 + 53 + 40 + 43 + 520 + 4 = 666.

4025340435204 is nontrivially palindromic in base 10.

4025340435204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4025340435203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10363897 + ... + 10745279.

It is an arithmetic number, because the mean of its divisors is an integer number (103601099056).

Almost surely, 24025340435204 is an apocalyptic number.

4025340435204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4025340435204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594459349024).

4025340435204 is an abundant number, since it is smaller than the sum of its proper divisors (7163578262844).

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

4025340435204 is a wasteful number, since it uses less digits than its factorization.

4025340435204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383838 (or 383822 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4025340 and 435204, that added together give a square (4460544 = 21122).

The spelling of 4025340435204 in words is "four trillion, twenty-five billion, three hundred forty million, four hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2423 4356 4846 7269 9692 14538 21807 26653 29076 43614 53306 79959 87228 106612 159918 239877 293183 319836 381383 479754 586366 762766 879549 959508 1144149 1172732 1525532 1759098 2288298 2638647 3432447 3518196 4195213 4576596 5277294 6864894 8390426 10554588 12585639 13729788 16780852 25171278 37756917 46147343 50342556 75513834 92294686 138442029 151027668 184589372 276884058 415326087 553768116 830652174 924091009 1661304348 1848182018 2772273027 3696364036 5544546054 8316819081 10165001099 11089092108 16633638162 20330002198 30495003297 33267276324 40660004396 60990006594 91485009891 111815012089 121980013188 182970019782 223630024178 335445036267 365940039564 447260048356 670890072534 1006335108801 1341780145068 2012670217602 4025340435204