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30401014000 = 2453716713003
BaseRepresentation
bin11100010100000010…
…101010100011110000
32220110200212112011111
4130110002222203300
5444230124422000
621544355123104
72124236232610
oct342402524360
986420775144
1030401014000
1111990641865
125a852a3494
132b364a00a6
1416857d4a40
15bcde3ccba
hex7140aa8f0

30401014000 has 160 divisors (see below), whose sum is σ = 84520590336. Its totient is φ = 10359993600.

The previous prime is 30401013971. The next prime is 30401014043. The reversal of 30401014000 is 41010403.

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, 2331499 + ... + 2344501.

Almost surely, 230401014000 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 30401014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260295168).

30401014000 is an abundant number, since it is smaller than the sum of its proper divisors (54119576336).

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

30401014000 is a wasteful number, since it uses less digits than its factorization.

30401014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 30401014000 its reverse (41010403), we get a palindrome (30442024403).

The spelling of 30401014000 in words is "thirty billion, four hundred one million, fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 167 175 200 250 280 334 350 400 500 560 668 700 835 875 1000 1169 1336 1400 1670 1750 2000 2338 2672 2800 3340 3500 4175 4676 5845 6680 7000 8350 9352 11690 13003 13360 14000 16700 18704 20875 23380 26006 29225 33400 41750 46760 52012 58450 65015 66800 83500 91021 93520 104024 116900 130030 146125 167000 182042 208048 233800 260060 292250 325075 334000 364084 455105 467600 520120 584500 650150 728168 910210 1040240 1169000 1300300 1456336 1625375 1820420 2171501 2275525 2338000 2600600 3250750 3640840 4343002 4551050 5201200 6501500 7281680 8686004 9102100 10857505 11377625 13003000 15200507 17372008 18204200 21715010 22755250 26006000 30401014 34744016 36408400 43430020 45510500 54287525 60802028 76002535 86860040 91021000 108575050 121604056 152005070 173720080 182042000 217150100 243208112 271437625 304010140 380012675 434300200 542875250 608020280 760025350 868600400 1085750500 1216040560 1520050700 1900063375 2171501000 3040101400 3800126750 4343002000 6080202800 7600253500 15200507000 30401014000