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134202332040 = 23357599266719
BaseRepresentation
bin111110011111100010…
…1010001001110001000
3110211101210100211110020
41330333011101032020
54144321244111130
6141352433420440
712460442000160
oct1747705211610
9424353324406
10134202332040
1151a07799417
122201410a720
13c8696b8b3a
1466d164b5a0
153756c53e10
hex1f3f151388

134202332040 has 128 divisors (see below), whose sum is σ = 460892160000. Its totient is φ = 30623493888.

The previous prime is 134202332039. The next prime is 134202332053. The reversal of 134202332040 is 40233202431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134202332040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 369801 + ... + 636519.

It is an arithmetic number, because the mean of its divisors is an integer number (3600720000).

Almost surely, 2134202332040 is an apocalyptic number.

134202332040 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 134202332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230446080000).

134202332040 is an abundant number, since it is smaller than the sum of its proper divisors (326689827960).

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

134202332040 is a wasteful number, since it uses less digits than its factorization.

134202332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267339 (or 267335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134202332040 its reverse (40233202431), we get a palindrome (174435534471).

The spelling of 134202332040 in words is "one hundred thirty-four billion, two hundred two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 599 840 1198 1797 2396 2995 3594 4193 4792 5990 7188 8386 8985 11980 12579 14376 16772 17970 20965 23960 25158 33544 35940 41930 50316 62895 71880 83860 100632 125790 167720 251580 266719 503160 533438 800157 1066876 1333595 1600314 1867033 2133752 2667190 3200628 3734066 4000785 5334380 5601099 6401256 7468132 8001570 9335165 10668760 11202198 14936264 16003140 18670330 22404396 28005495 32006280 37340660 44808792 56010990 74681320 112021980 159764681 224043960 319529362 479294043 639058724 798823405 958588086 1118352767 1278117448 1597646810 1917176172 2236705534 2396470215 3195293620 3355058301 3834352344 4473411068 4792940430 5591763835 6390587240 6710116602 8946822136 9585880860 11183527670 13420233204 16775291505 19171761720 22367055340 26840466408 33550583010 44734110680 67101166020 134202332040