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134400044310 = 23573757130293
BaseRepresentation
bin111110100101011011…
…1011110110100010110
3110211220120101122200220
41331022313132310112
54200222402404220
6141424215215210
712465362345610
oct1751267366426
9424816348626
10134400044310
1151aa9359594
122206a377506
13c89b651a4c
14670d9d5db0
1537692aa540
hex1f4added16

134400044310 has 128 divisors (see below), whose sum is σ = 379278941184. Its totient is φ = 29836408320.

The previous prime is 134400044267. The next prime is 134400044357. The reversal of 134400044310 is 13440004431.

It is a super-2 number, since 2×1344000443102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4421524 + ... + 4451816.

It is an arithmetic number, because the mean of its divisors is an integer number (2963116728).

Almost surely, 2134400044310 is an apocalyptic number.

134400044310 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 134400044310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189639470592).

134400044310 is an abundant number, since it is smaller than the sum of its proper divisors (244878896874).

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

134400044310 is a wasteful number, since it uses less digits than its factorization.

134400044310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30918.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134400044310 its reverse (13440004431), we get a palindrome (147840048741).

The spelling of 134400044310 in words is "one hundred thirty-four billion, four hundred million, forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 571 777 1110 1142 1295 1554 1713 2590 2855 3426 3885 3997 5710 7770 7994 8565 11991 17130 19985 21127 23982 30293 39970 42254 59955 60586 63381 90879 105635 119910 126762 147889 151465 181758 211270 212051 295778 302930 316905 424102 443667 454395 633810 636153 739445 887334 908790 1060255 1120841 1272306 1478890 2120510 2218335 2241682 3180765 3362523 4436670 5604205 6361530 6725046 7845887 11208410 15691774 16812615 17297303 23537661 33625230 34594606 39229435 47075322 51891909 78458870 86486515 103783818 117688305 121081121 172973030 235376610 242162242 259459545 363243363 518919090 605405605 640000211 726486726 1210811210 1280000422 1816216815 1920000633 3200001055 3632433630 3840001266 4480001477 6400002110 8960002954 9600003165 13440004431 19200006330 22400007385 26880008862 44800014770 67200022155 134400044310