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3105014000 = 2453111131249
BaseRepresentation
bin1011100100010010…
…1100000011110000
322000101122001110112
42321010230003300
522324340422000
61232035120452
7136642116644
oct27104540360
98011561415
103105014000
111353776a80
12727a43128
133a63922ba
14216540c24
151328d9235
hexb912c0f0

3105014000 has 160 divisors (see below), whose sum is σ = 8269560000. Its totient is φ = 1118208000.

The previous prime is 3105013979. The next prime is 3105014069. The reversal of 3105014000 is 4105013.

It is a super-2 number, since 2×31050140002 = 19282223880392000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485376 + ... + 2486624.

It is an arithmetic number, because the mean of its divisors is an integer number (51684750).

Almost surely, 23105014000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780000).

3105014000 is an abundant number, since it is smaller than the sum of its proper divisors (5164546000).

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

3105014000 is a wasteful number, since it uses less digits than its factorization.

3105014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 3105014000 is about 55722.6524853223. The cubic root of 3105014000 is about 1458.8854319568.

Adding to 3105014000 its reverse (4105013), we get a palindrome (3109119013).

The spelling of 3105014000 in words is "three billion, one hundred five million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 125 176 200 220 226 250 275 400 440 452 500 550 565 880 904 1000 1100 1130 1243 1249 1375 1808 2000 2200 2260 2486 2498 2750 2825 4400 4520 4972 4996 5500 5650 6215 6245 9040 9944 9992 11000 11300 12430 12490 13739 14125 19888 19984 22000 22600 24860 24980 27478 28250 31075 31225 45200 49720 49960 54956 56500 62150 62450 68695 99440 99920 109912 113000 124300 124900 137390 141137 155375 156125 219824 226000 248600 249800 274780 282274 310750 312250 343475 497200 499600 549560 564548 621500 624500 686950 705685 1099120 1129096 1243000 1249000 1373900 1411370 1552507 1717375 2258192 2486000 2498000 2747800 2822740 3105014 3434750 3528425 5495600 5645480 6210028 6869500 7056850 7762535 11290960 12420056 13739000 14113700 15525070 17642125 24840112 27478000 28227400 31050140 35284250 38812675 56454800 62100280 70568500 77625350 124200560 141137000 155250700 194063375 282274000 310501400 388126750 621002800 776253500 1552507000 3105014000