Search a number
-
+
1368862306000 = 24537313312383
BaseRepresentation
bin10011111010110110100…
…011010010111011010000
311211212021100221001022221
4103322312203102323100
5134411412222243000
62524502513510424
7200616453423040
oct23726643227320
94755240831287
101368862306000
114885930a3992
121a1365272414
139c110924077
144a37904d720
152591970661a
hex13eb68d2ed0

1368862306000 has 160 divisors (see below), whose sum is σ = 3794850828288. Its totient is φ = 467823283200.

The previous prime is 1368862305917. The next prime is 1368862306037. The reversal of 1368862306000 is 6032688631.

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, 4225809 + ... + 4538191.

Almost surely, 21368862306000 is an apocalyptic number.

1368862306000 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 1368862306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897425414144).

1368862306000 is an abundant number, since it is smaller than the sum of its proper divisors (2425988522288).

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

1368862306000 is a wasteful number, since it uses less digits than its factorization.

1368862306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312726 (or 312710 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 1368862306000 in words is "one trillion, three hundred sixty-eight billion, eight hundred sixty-two million, three hundred six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 313 350 400 500 560 626 700 875 1000 1252 1400 1565 1750 2000 2191 2504 2800 3130 3500 4382 5008 6260 7000 7825 8764 10955 12520 14000 15650 17528 21910 25040 31300 35056 39125 43820 54775 62600 78250 87640 109550 125200 156500 175280 219100 273875 312383 313000 438200 547750 624766 626000 876400 1095500 1249532 1561915 2186681 2191000 2499064 3123830 4373362 4382000 4998128 6247660 7809575 8746724 10933405 12495320 15619150 17493448 21866810 24990640 31238300 34986896 39047875 43733620 54667025 62476600 78095750 87467240 97775879 109334050 124953200 156191500 174934480 195551758 218668100 273335125 312383000 391103516 437336200 488879395 546670250 624766000 684431153 782207032 874672400 977758790 1093340500 1368862306 1564414064 1955517580 2186681000 2444396975 2737724612 3422155765 3911035160 4373362000 4888793950 5475449224 6844311530 7822070320 9777587900 10950898448 12221984875 13688623060 17110778825 19555175800 24443969750 27377246120 34221557650 39110351600 48887939500 54754492240 68443115300 85553894125 97775879000 136886230600 171107788250 195551758000 273772461200 342215576500 684431153000 1368862306000