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133063071440 = 245131031279781
BaseRepresentation
bin111101111101100101…
…1010101011011010000
3110201110101122101201012
41323323023111123100
54140003121241230
6141043415230052
712420266305535
oct1737313253320
9421411571635
10133063071440
11514826a9032
1221956678328
13c717670040
14662420cd8c
1536dbc15395
hex1efb2d56d0

133063071440 has 160 divisors (see below), whose sum is σ = 339087630336. Its totient is φ = 48265943040.

The previous prime is 133063071409. The next prime is 133063071451. The reversal of 133063071440 is 44170360331.

It is a junction number, because it is equal to n+sod(n) for n = 133063071397 and 133063071406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13599350 + ... + 13609130.

Almost surely, 2133063071440 is an apocalyptic number.

133063071440 is a gapful number since it is divisible by the number (10) 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 133063071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169543815168).

133063071440 is an abundant number, since it is smaller than the sum of its proper divisors (206024558896).

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

133063071440 is a wasteful number, since it uses less digits than its factorization.

133063071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 133063071440 in words is "one hundred thirty-three billion, sixty-three million, seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 127 130 206 208 254 260 412 508 515 520 635 824 1016 1030 1040 1270 1339 1648 1651 2032 2060 2540 2678 3302 4120 5080 5356 6604 6695 8240 8255 9781 10160 10712 13081 13208 13390 16510 19562 21424 26162 26416 26780 33020 39124 48905 52324 53560 65405 66040 78248 97810 104648 107120 127153 130810 132080 156496 170053 195620 209296 254306 261620 340106 391240 508612 523240 635765 680212 782480 850265 1007443 1017224 1046480 1242187 1271530 1360424 1700530 2014886 2034448 2484374 2543060 2720848 3401060 4029772 4968748 5037215 5086120 6210935 6802120 8059544 9937496 10074430 10172240 12421870 13096759 13604240 16119088 16148431 19874992 20148860 24843740 26193518 32296862 40297720 49687480 52387036 64593724 65483795 80595440 80742155 99374960 104774072 127945261 129187448 130967590 161484310 209548144 255890522 258374896 261935180 322968620 511781044 523870360 639726305 645937240 1023562088 1047740720 1279452610 1291874480 1663288393 2047124176 2558905220 3326576786 5117810440 6653153572 8316441965 10235620880 13306307144 16632883930 26612614288 33265767860 66531535720 133063071440