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6014149000 = 235310756207
BaseRepresentation
bin1011001100111100…
…01010000110001000
3120112010200102110021
411212132022012020
544304110232000
62432440030224
7302015265046
oct54636120610
916463612407
106014149000
112606915182
1211ba162374
1374acb0c62
14410a53396
15252ed011a
hex16678a188

6014149000 has 64 divisors (see below), whose sum is σ = 14204885760. Its totient is φ = 2383134400.

The previous prime is 6014148971. The next prime is 6014149069. The reversal of 6014149000 is 9414106.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78897 + ... + 135103.

It is an arithmetic number, because the mean of its divisors is an integer number (221951340).

Almost surely, 26014149000 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 6014149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102442880).

6014149000 is an abundant number, since it is smaller than the sum of its proper divisors (8190736760).

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

6014149000 is a wasteful number, since it uses less digits than its factorization.

6014149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56335 (or 56321 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 6014149000 is about 77550.9445461498. The cubic root of 6014149000 is about 1818.5478292693.

The spelling of 6014149000 in words is "six billion, fourteen million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 21400 26750 53500 56207 107000 112414 224828 281035 449656 562070 1124140 1405175 2248280 2810350 5620700 6014149 7025875 11241400 12028298 14051750 24056596 28103500 30070745 48113192 56207000 60141490 120282980 150353725 240565960 300707450 601414900 751768625 1202829800 1503537250 3007074500 6014149000