Search a number
-
+
335641466130 = 235471276472897
BaseRepresentation
bin1001110001001011100…
…10100101010100010010
31012002100102122002210020
410320211302211110102
520444343203404010
6414105213244310
733151336250325
oct4704562452422
91162312562706
10335641466130
1111a387948333
1255071793696
132585cc09139
141236090a7bc
158ae66ed470
hex4e25ca5512

335641466130 has 128 divisors (see below), whose sum is σ = 830724636672. Its totient is φ = 86745996288.

The previous prime is 335641466117. The next prime is 335641466141. The reversal of 335641466130 is 31664146533.

It is a super-2 number, since 2×3356414661302 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115856842 + ... + 115859738.

It is an arithmetic number, because the mean of its divisors is an integer number (6490036224).

Almost surely, 2335641466130 is an apocalyptic number.

335641466130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 335641466130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415362318336).

335641466130 is an abundant number, since it is smaller than the sum of its proper divisors (495083170542).

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

335641466130 is a wasteful number, since it uses less digits than its factorization.

335641466130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 335641466130 in words is "three hundred thirty-five billion, six hundred forty-one million, four hundred sixty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 127 141 235 254 282 381 470 635 647 705 762 1270 1294 1410 1905 1941 2897 3235 3810 3882 5794 5969 6470 8691 9705 11938 14485 17382 17907 19410 28970 29845 30409 35814 43455 59690 60818 82169 86910 89535 91227 136159 152045 164338 179070 182454 246507 272318 304090 367919 408477 410845 456135 493014 680795 735838 816954 821690 912270 1103757 1232535 1361590 1839595 1874359 2042385 2207514 2465070 3679190 3748718 3861943 4084770 5518785 5623077 7723886 9371795 11037570 11246154 11585829 17292193 18743590 19309715 23171658 28115385 34584386 38619430 51876579 56230770 57929145 86460965 88094873 103753158 115858290 172921930 176189746 238043593 259382895 264284619 440474365 476087186 518765790 528569238 714130779 880948730 1190217965 1321423095 1428261558 2380435930 2642846190 3570653895 7141307790 11188048871 22376097742 33564146613 55940244355 67128293226 111880488710 167820733065 335641466130