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33014145030 = 23523377916369
BaseRepresentation
bin11110101111110010…
…111110000000000110
310011012210221100001020
4132233302332000012
51020103110120110
623055543412010
72246056413456
oct365762760006
9104183840036
1033014145030
1113001695889
126494454006
13316198ca79
141852893d66
15cd3563d70
hex7afcbe006

33014145030 has 128 divisors (see below), whose sum is σ = 85993574400. Its totient is φ = 8089196544.

The previous prime is 33014145013. The next prime is 33014145037. The reversal of 33014145030 is 3054141033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33014145037) 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, 2008686 + ... + 2025054.

It is an arithmetic number, because the mean of its divisors is an integer number (671824800).

Almost surely, 233014145030 is an apocalyptic number.

33014145030 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 33014145030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42996787200).

33014145030 is an abundant number, since it is smaller than the sum of its proper divisors (52979429370).

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

33014145030 is a wasteful number, since it uses less digits than its factorization.

33014145030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16518.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 33014145030 its reverse (3054141033), we get a palindrome (36068286063).

The spelling of 33014145030 in words is "thirty-three billion, fourteen million, one hundred forty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 79 111 115 138 158 185 222 230 237 345 370 395 474 555 690 790 851 1110 1185 1702 1817 2370 2553 2923 3634 4255 5106 5451 5846 8510 8769 9085 10902 12765 14615 16369 17538 18170 25530 27255 29230 32738 43845 49107 54510 67229 81845 87690 98214 134458 163690 201687 245535 336145 376487 403374 491070 605653 672290 752974 1008435 1129461 1211306 1293151 1816959 1882435 2016870 2258922 2586302 3028265 3633918 3764870 3879453 5647305 6056530 6465755 7758906 9084795 11294610 12931510 13930019 18169590 19397265 27860038 29742473 38794530 41790057 47846587 59484946 69650095 83580114 89227419 95693174 139300190 143539761 148712365 178454838 208950285 239232935 287079522 297424730 417900570 446137095 478465870 717698805 892274190 1100471501 1435397610 2200943002 3301414503 5502357505 6602829006 11004715010 16507072515 33014145030