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434212233130 = 251331436141077
BaseRepresentation
bin1100101000110010001…
…00001101111110101010
31112111202222220212221101
412110121010031332222
524103231312430010
6531250243032014
743241120040634
oct6243104157652
91474688825841
10434212233130
1115816a538535
12701a096b60a
1331c3b5a3280
1417031c09a54
15b46521b73a
hex651910dfaa

434212233130 has 128 divisors (see below), whose sum is σ = 903658162176. Its totient is φ = 149056588800.

The previous prime is 434212233101. The next prime is 434212233131. The reversal of 434212233130 is 31332212434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (434212233131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10550152 + ... + 10591228.

It is an arithmetic number, because the mean of its divisors is an integer number (7059829392).

Almost surely, 2434212233130 is an apocalyptic number.

434212233130 is an abundant number, since it is smaller than the sum of its proper divisors (469445929046).

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

434212233130 is a wasteful number, since it uses less digits than its factorization.

434212233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41232.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 434212233130 its reverse (31332212434), we get a palindrome (465544445564).

The spelling of 434212233130 in words is "four hundred thirty-four billion, two hundred twelve million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 31 43 61 62 65 86 122 130 155 215 305 310 403 430 559 610 793 806 1118 1333 1586 1891 2015 2623 2666 2795 3782 3965 4030 5246 5590 6665 7930 9455 13115 13330 17329 18910 24583 26230 34099 34658 41077 49166 68198 81313 82154 86645 122915 162626 170495 173290 205385 245830 340990 406565 410770 534001 813130 1057069 1068002 1273387 1766311 2114138 2505697 2546774 2670005 3532622 5011394 5285345 5340010 6366935 8831555 10570690 12528485 12733870 16554031 17663110 22962043 25056970 32574061 33108062 45924086 54755641 65148122 77676607 82770155 107744971 109511282 114810215 155353214 162870305 165540310 215489942 229620430 273778205 325740610 388383035 538724855 547556410 711823333 776766070 1009795891 1077449710 1400684623 1423646666 2019591782 2801369246 3340094101 3559116665 5048979455 6680188202 7003423115 7118233330 10097958910 14006846230 16700470505 33400941010 43421223313 86842446626 217106116565 434212233130