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138122434170 = 23357569128437
BaseRepresentation
bin1000000010100010111…
…1010001011001111010
3111012111222201122122000
42000220233101121322
54230333320343140
6143241431041430
712656542214310
oct2005057213172
9435458648560
10138122434170
1153639571146
1222928b10276
13100428b47b6
1469841240b0
1538d5e95a30
hex2028bd167a

138122434170 has 128 divisors (see below), whose sum is σ = 421687641600. Its totient is φ = 31515111936.

The previous prime is 138122434141. The next prime is 138122434193. The reversal of 138122434170 is 71434221831.

138122434170 is a `hidden beast` number, since 1 + 38 + 1 + 22 + 434 + 170 = 666.

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, 1011192 + ... + 1139628.

It is an arithmetic number, because the mean of its divisors is an integer number (3294434700).

Almost surely, 2138122434170 is an apocalyptic number.

138122434170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138122434170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210843820800).

138122434170 is an abundant number, since it is smaller than the sum of its proper divisors (283565207430).

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

138122434170 is a wasteful number, since it uses less digits than its factorization.

138122434170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129029 (or 129023 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 138122434170 in words is "one hundred thirty-eight billion, one hundred twenty-two million, four hundred thirty-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 569 630 945 1138 1707 1890 2845 3414 3983 5121 5690 7966 8535 10242 11949 15363 17070 19915 23898 25605 30726 35847 39830 51210 59745 71694 76815 107541 119490 128437 153630 179235 215082 256874 358470 385311 537705 642185 770622 899059 1075410 1155933 1284370 1798118 1926555 2311866 2697177 3467799 3853110 4495295 5394354 5779665 6935598 8091531 8990590 11559330 13485885 16183062 17338995 24274593 26971770 34677990 40457655 48549186 73080653 80915310 121372965 146161306 219241959 242745930 365403265 438483918 511564571 657725877 730806530 1023129142 1096209795 1315451754 1534693713 1973177631 2192419590 2557822855 3069387426 3288629385 3946355262 4604081139 5115645710 6577258770 7673468565 9208162278 9865888155 13812243417 15346937130 19731776310 23020405695 27624486834 46040811390 69061217085 138122434170