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71028942000 = 2435389133013
BaseRepresentation
bin100001000100110100…
…1111010010010110000
320210100010111002221120
41002021221322102300
52130431402121000
652344044422240
75063110021362
oct1021151722260
9223303432846
1071028942000
1128139a93465
1211923547980
13690c679083
14361b538d32
151caab0c6a0
hex1089a7a4b0

71028942000 has 160 divisors (see below), whose sum is σ = 231572053440. Its totient is φ = 18728089600.

The previous prime is 71028941993. The next prime is 71028942029. The reversal of 71028942000 is 24982017.

It is a happy number.

It is a super-2 number, since 2×710289420002 (a number of 23 digits) contains 22 as substring.

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, 467494 + ... + 600506.

It is an arithmetic number, because the mean of its divisors is an integer number (1447325334).

Almost surely, 271028942000 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 71028942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115786026720).

71028942000 is an abundant number, since it is smaller than the sum of its proper divisors (160543111440).

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

71028942000 is a wasteful number, since it uses less digits than its factorization.

71028942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133128 (or 133112 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 71028942000 in words is "seventy-one billion, twenty-eight million, nine hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 712 750 890 1000 1068 1200 1335 1424 1500 1780 2000 2136 2225 2670 3000 3560 4272 4450 5340 6000 6675 7120 8900 10680 11125 13350 17800 21360 22250 26700 33375 35600 44500 53400 66750 89000 106800 133013 133500 178000 266026 267000 399039 532052 534000 665065 798078 1064104 1330130 1596156 1995195 2128208 2660260 3192312 3325325 3990390 5320520 6384624 6650650 7980780 9975975 10641040 11838157 13301300 15961560 16626625 19951950 23676314 26602600 31923120 33253250 35514471 39903900 47352628 49879875 53205200 59190785 66506500 71028942 79807800 94705256 99759750 118381570 133013000 142057884 159615600 177572355 189410512 199519500 236763140 266026000 284115768 295953925 355144710 399039000 473526280 568231536 591907850 710289420 798078000 887861775 947052560 1183815700 1420578840 1479769625 1775723550 2367631400 2841157680 2959539250 3551447100 4439308875 4735262800 5919078500 7102894200 8878617750 11838157000 14205788400 17757235500 23676314000 35514471000 71028942000