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10314542000 = 245375313901
BaseRepresentation
bin10011001101100101…
…10110101110110000
3222121211122000122002
421212302312232300
5132111010321000
64423300233132
7513414106010
oct114662665660
928554560562
1010314542000
114413321084
121bba39b7a8
13c84c0a2b9
146dbc3dc40
154057e08d5
hex266cb6bb0

10314542000 has 160 divisors (see below), whose sum is σ = 29043391104. Its totient is φ = 3469440000.

The previous prime is 10314541999. The next prime is 10314542003. The reversal of 10314542000 is 24541301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10314542003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735050 + ... + 748950.

Almost surely, 210314542000 is an apocalyptic number.

10314542000 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 10314542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14521695552).

10314542000 is an abundant number, since it is smaller than the sum of its proper divisors (18728849104).

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

10314542000 is a wasteful number, since it uses less digits than its factorization.

10314542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 10314542000 in words is "ten billion, three hundred fourteen million, five hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 125 140 175 200 212 250 265 280 350 371 400 424 500 530 560 700 742 848 875 1000 1060 1325 1400 1484 1750 1855 2000 2120 2650 2800 2968 3500 3710 4240 5300 5936 6625 7000 7420 9275 10600 13250 13901 14000 14840 18550 21200 26500 27802 29680 37100 46375 53000 55604 69505 74200 92750 97307 106000 111208 139010 148400 185500 194614 222416 278020 347525 371000 389228 486535 556040 695050 736753 742000 778456 973070 1112080 1390100 1473506 1556912 1737625 1946140 2432675 2780200 2947012 3475250 3683765 3892280 4865350 5157271 5560400 5894024 6950500 7367530 7784560 9730700 10314542 11788048 12163375 13901000 14735060 18418825 19461400 20629084 24326750 25786355 27802000 29470120 36837650 38922800 41258168 48653500 51572710 58940240 73675300 82516336 92094125 97307000 103145420 128931775 147350600 184188250 194614000 206290840 257863550 294701200 368376500 412581680 515727100 644658875 736753000 1031454200 1289317750 1473506000 2062908400 2578635500 5157271000 10314542000