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14550434040 = 23353114272741
BaseRepresentation
bin11011000110100011…
…00000000011111000
31101120001012122010110
431203101200003320
5214244402342130
610403454144320
71023400435332
oct154321400370
941501178113
1014550434040
1161973824aa
1229a0ab20a0
1314ab671aac
149c063a452
155a260eab0
hex3634600f8

14550434040 has 128 divisors (see below), whose sum is σ = 45107435520. Its totient is φ = 3750950400.

The previous prime is 14550433981. The next prime is 14550434051. The reversal of 14550434040 is 4043405541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14550433989 and 14550434007.

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, 5307070 + ... + 5309810.

It is an arithmetic number, because the mean of its divisors is an integer number (352401840).

Almost surely, 214550434040 is an apocalyptic number.

14550434040 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 14550434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22553717760).

14550434040 is an abundant number, since it is smaller than the sum of its proper divisors (30557001480).

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

14550434040 is a wasteful number, since it uses less digits than its factorization.

14550434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 14550434040 its reverse (4043405541), we get a palindrome (18593839581).

The spelling of 14550434040 in words is "fourteen billion, five hundred fifty million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1427 1860 2741 2854 3720 4281 5482 5708 7135 8223 8562 10964 11416 13705 14270 16446 17124 21405 21928 27410 28540 32892 34248 41115 42810 44237 54820 57080 65784 82230 84971 85620 88474 109640 132711 164460 169942 171240 176948 221185 254913 265422 328920 339884 353896 424855 442370 509826 530844 663555 679768 849710 884740 1019652 1061688 1274565 1327110 1699420 1769480 2039304 2549130 2654220 3398840 3911407 5098260 5308440 7822814 10196520 11734221 15645628 19557035 23468442 31291256 39114070 46936884 58671105 78228140 93873768 117342210 121253617 156456280 234684420 242507234 363760851 469368840 485014468 606268085 727521702 970028936 1212536170 1455043404 1818804255 2425072340 2910086808 3637608510 4850144680 7275217020 14550434040