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140034400240 = 24573711359809
BaseRepresentation
bin1000001001101010110…
…0110101111111110000
3111101110020102121000011
42002122230311333300
54243242301301430
6144155251104304
713055116522360
oct2023254657760
9441406377004
10140034400240
115442a84a599
12231812a2094
1310288a47a77
146ac60249a0
153998c6922a
hex209ab35ff0

140034400240 has 160 divisors (see below), whose sum is σ = 385536216960. Its totient is φ = 46300004352.

The previous prime is 140034400189. The next prime is 140034400279. The reversal of 140034400240 is 42004430041.

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, 2311456 + ... + 2371264.

It is an arithmetic number, because the mean of its divisors is an integer number (2409601356).

Almost surely, 2140034400240 is an apocalyptic number.

140034400240 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 140034400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192768108480).

140034400240 is an abundant number, since it is smaller than the sum of its proper divisors (245501816720).

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

140034400240 is a wasteful number, since it uses less digits than its factorization.

140034400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59979 (or 59973 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 140034400240 its reverse (42004430041), we get a palindrome (182038830281).

The spelling of 140034400240 in words is "one hundred forty billion, thirty-four million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 113 140 148 185 226 259 280 296 370 452 518 560 565 592 740 791 904 1036 1130 1295 1480 1582 1808 2072 2260 2590 2960 3164 3955 4144 4181 4520 5180 6328 7910 8362 9040 10360 12656 15820 16724 20720 20905 29267 31640 33448 41810 58534 59809 63280 66896 83620 117068 119618 146335 167240 234136 239236 292670 299045 334480 418663 468272 478472 585340 598090 837326 956944 1170680 1196180 1674652 2093315 2212933 2341360 2392360 3349304 4186630 4425866 4784720 6698608 6758417 8373260 8851732 11064665 13516834 15490531 16746520 17703464 22129330 27033668 30981062 33493040 33792085 35406928 44258660 47308919 54067336 61962124 67584170 77452655 88517320 94617838 108134672 123924248 135168340 154905310 177034640 189235676 236544595 247848496 250061429 270336680 309810620 378471352 473089190 500122858 540673360 619621240 756942704 946178380 1000245716 1239242480 1250307145 1750430003 1892356760 2000491432 2500614290 3500860006 3784713520 4000982864 5001228580 7001720012 8752150015 10002457160 14003440024 17504300030 20004914320 28006880048 35008600060 70017200120 140034400240