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368817004140 = 223513557848909
BaseRepresentation
bin1010101110111110011…
…01001101111001101100
31022020222111021001101020
411113133031031321230
522020314123113030
6441233204214140
735434425544434
oct5273715157154
91266874231336
10368817004140
11132461647042
125b59009a350
1328a191566c0
1413bca9b32c4
1598d8ee2510
hex55df34de6c

368817004140 has 96 divisors (see below), whose sum is σ = 1114123066560. Its totient is φ = 90622626816.

The previous prime is 368817004099. The next prime is 368817004151. The reversal of 368817004140 is 41400718863.

It is a junction number, because it is equal to n+sod(n) for n = 368817004092 and 368817004101.

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, 10006 + ... + 858914.

It is an arithmetic number, because the mean of its divisors is an integer number (11605448610).

Almost surely, 2368817004140 is an apocalyptic number.

368817004140 is a gapful number since it is divisible by the number (30) 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 368817004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557061533280).

368817004140 is an abundant number, since it is smaller than the sum of its proper divisors (745306062420).

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

368817004140 is a wasteful number, since it uses less digits than its factorization.

368817004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849491 (or 849489 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 368817004140 in words is "three hundred sixty-eight billion, eight hundred seventeen million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 557 780 1114 1671 2228 2785 3342 5570 6684 7241 8355 11140 14482 16710 21723 28964 33420 36205 43446 72410 86892 108615 144820 217230 434460 848909 1697818 2546727 3395636 4244545 5093454 8489090 10186908 11035817 12733635 16978180 22071634 25467270 33107451 44143268 50934540 55179085 66214902 110358170 132429804 165537255 220716340 331074510 472842313 662149020 945684626 1418526939 1891369252 2364211565 2837053878 4728423130 5674107756 6146950069 7092634695 9456846260 12293900138 14185269390 18440850207 24587800276 28370538780 30734750345 36881700414 61469500690 73763400828 92204251035 122939001380 184408502070 368817004140