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134311332320 = 25511611251037
BaseRepresentation
bin111110100010110010…
…1000100100111100000
3110211200101110121201122
41331011211010213200
54200032200113240
6141411325551412
712463234326224
oct1750545044740
9424611417648
10134311332320
1151a632779a0
1222044715568
13c886161149
146701d02784
1537615d54b5
hex1f459449e0

134311332320 has 96 divisors (see below), whose sum is σ = 351831918816. Its totient is φ = 48039782400.

The previous prime is 134311332283. The next prime is 134311332343. The reversal of 134311332320 is 23233113431.

It is a self number, because there is not a number n which added to its sum of digits gives 134311332320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 518159 + ... + 732878.

It is an arithmetic number, because the mean of its divisors is an integer number (3664915821).

Almost surely, 2134311332320 is an apocalyptic number.

134311332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134311332320 is an abundant number, since it is smaller than the sum of its proper divisors (217520586496).

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

134311332320 is a wasteful number, since it uses less digits than its factorization.

134311332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251124 (or 1251116 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 134311332320 its reverse (23233113431), we get a palindrome (157544445751).

The spelling of 134311332320 in words is "one hundred thirty-four billion, three hundred eleven million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 107360 1251037 2502074 5004148 6255185 10008296 12510370 13761407 20016592 25020740 27522814 40033184 50041480 55045628 68807035 76313257 100082960 110091256 137614070 152626514 200165920 220182512 275228140 305253028 381566285 440365024 550456280 610506056 763132570 839445827 1100912560 1221012112 1526265140 1678891654 2201825120 2442024224 3052530280 3357783308 4197229135 6105060560 6715566616 8394458270 12210121120 13431133232 16788916540 26862266464 33577833080 67155666160 134311332320