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13450529040 = 24351311533739
BaseRepresentation
bin11001000011011011…
…01100100100010000
31021201101112200010020
430201231230210100
5210021313412130
610102403303440
7654213416244
oct144155544420
937641480106
1013450529040
115782522603
12273467ab80
131364825430
14918524424
1553ac96e10
hex321b6c910

13450529040 has 160 divisors (see below), whose sum is σ = 44955039360. Its totient is φ = 3307143168.

The previous prime is 13450529033. The next prime is 13450529069. The reversal of 13450529040 is 4092505431.

It is a junction number, because it is equal to n+sod(n) for n = 13450528992 and 13450529010.

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, 3595491 + ... + 3599229.

It is an arithmetic number, because the mean of its divisors is an integer number (280968996).

Almost surely, 213450529040 is an apocalyptic number.

13450529040 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 13450529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22477519680).

13450529040 is an abundant number, since it is smaller than the sum of its proper divisors (31504510320).

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

13450529040 is a wasteful number, since it uses less digits than its factorization.

13450529040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 13450529040 in words is "thirteen billion, four hundred fifty million, five hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1153 1560 2306 3120 3459 3739 4612 5765 6918 7478 9224 11217 11530 13836 14956 14989 17295 18448 18695 22434 23060 27672 29912 29978 34590 37390 44868 44967 46120 48607 55344 56085 59824 59956 69180 74780 74945 89736 89934 92240 97214 112170 119912 138360 145821 149560 149890 179472 179868 194428 224340 224835 239824 243035 276720 291642 299120 299780 359736 388856 448680 449670 486070 583284 599560 719472 729105 777712 897360 899340 972140 1166568 1199120 1458210 1798680 1944280 2333136 2916420 3597360 3888560 4311067 5832840 8622134 11665680 12933201 17244268 21555335 25866402 34488536 43110670 51732804 56043871 64666005 68977072 86221340 103465608 112087742 129332010 168131613 172442680 206931216 224175484 258664020 280219355 336263226 344885360 448350968 517328040 560438710 672526452 840658065 896701936 1034656080 1120877420 1345052904 1681316130 2241754840 2690105808 3362632260 4483509680 6725264520 13450529040