Search a number
-
+
103734014850 = 2355243198553
BaseRepresentation
bin110000010011100000…
…1110111001110000010
3100220202101211221200000
41200213001313032002
53144421401433400
6115353231540430
710331424402114
oct1404701671602
9326671757600
10103734014850
113aaa2168794
121813038a716
139a222b289b
145040d373b4
152a71e6e600
hex1827077382

103734014850 has 144 divisors (see below), whose sum is σ = 295743800352. Its totient is φ = 27018956160.

The previous prime is 103734014849. The next prime is 103734014861. The reversal of 103734014850 is 58410437301.

It is a happy number.

103734014850 is a `hidden beast` number, since 103 + 73 + 4 + 0 + 1 + 485 + 0 = 666.

It is a super-4 number, since 4×1037340148504 (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423174 + ... + 621726.

Almost surely, 2103734014850 is an apocalyptic number.

103734014850 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 103734014850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147871900176).

103734014850 is an abundant number, since it is smaller than the sum of its proper divisors (192009785502).

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

103734014850 is a wasteful number, since it uses less digits than its factorization.

103734014850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198623 (or 198606 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 103734014850 in words is "one hundred three billion, seven hundred thirty-four million, fourteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 43 45 50 54 75 81 86 90 129 135 150 162 215 225 243 258 270 387 405 430 450 486 645 675 774 810 1075 1161 1215 1290 1350 1935 2025 2150 2322 2430 3225 3483 3870 4050 5805 6075 6450 6966 9675 10449 11610 12150 17415 19350 20898 29025 34830 52245 58050 87075 104490 174150 198553 261225 397106 522450 595659 992765 1191318 1786977 1985530 2978295 3573954 4963825 5360931 5956590 8537779 8934885 9927650 10721862 14891475 16082793 17075558 17869770 25613337 26804655 29782950 32165586 42688895 44674425 48248379 51226674 53609310 76840011 80413965 85377790 89348850 96496758 128066685 134023275 153680022 160827930 213444475 230520033 241241895 256133370 268046550 384200055 402069825 426888950 461040066 482483790 640333425 691560099 768400110 804139650 1152600165 1206209475 1280666850 1383120198 1921000275 2074680297 2305200330 2412418950 3457800495 3842000550 4149360594 5763000825 6915600990 10373401485 11526001650 17289002475 20746802970 34578004950 51867007425 103734014850