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7314742000 = 245353151457
BaseRepresentation
bin1101100111111111…
…00001101011110000
3200212202222101122101
412303333201223300
5104440033221000
63205500150144
7346160165266
oct66377415360
920782871571
107314742000
113113a87a25
121501838354
138c7595b07
144d568a436
152cc28ae6a
hex1b3fe1af0

7314742000 has 160 divisors (see below), whose sum is σ = 18179800704. Its totient is φ = 2845440000.

The previous prime is 7314741971. The next prime is 7314742013. The reversal of 7314742000 is 2474137.

It is a self number, because there is not a number n which added to its sum of digits gives 7314742000.

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, 16005772 + ... + 16006228.

Almost surely, 27314742000 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 7314742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089900352).

7314742000 is an abundant number, since it is smaller than the sum of its proper divisors (10865058704).

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

7314742000 is a wasteful number, since it uses less digits than its factorization.

7314742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 7314742000 is about 85526.2649716448. The cubic root of 7314742000 is about 1941.1823663553.

The spelling of 7314742000 in words is "seven billion, three hundred fourteen million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 151 200 212 250 265 302 400 424 457 500 530 604 755 848 914 1000 1060 1208 1325 1510 1828 2000 2120 2285 2416 2650 3020 3656 3775 4240 4570 5300 6040 6625 7312 7550 8003 9140 10600 11425 12080 13250 15100 16006 18280 18875 21200 22850 24221 26500 30200 32012 36560 37750 40015 45700 48442 53000 57125 60400 64024 69007 75500 80030 91400 96884 106000 114250 121105 128048 138014 151000 160060 182800 193768 200075 228500 242210 276028 302000 320120 345035 387536 400150 457000 484420 552056 605525 640240 690070 800300 914000 968840 1000375 1104112 1211050 1380140 1600600 1725175 1937680 2000750 2422100 2760280 3027625 3201200 3450350 3657371 4001500 4844200 5520560 6055250 6900700 7314742 8003000 8625875 9688400 12110500 13801400 14629484 16006000 17251750 18286855 24221000 27602800 29258968 34503500 36573710 48442000 58517936 69007000 73147420 91434275 138014000 146294840 182868550 292589680 365737100 457171375 731474200 914342750 1462948400 1828685500 3657371000 7314742000