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30132014000 = 2453118091693
BaseRepresentation
bin11100000100000000…
…100000101110110000
32212202221200220112112
4130010000200232300
5443202243422000
621501545344452
72114461615214
oct340400405660
985687626475
1030132014000
1111862811110
125a0b198128
132ac28374aa
14165bbb0944
15bb5504235
hex704020bb0

30132014000 has 160 divisors (see below), whose sum is σ = 79628028480. Its totient is φ = 10937088000.

The previous prime is 30132013993. The next prime is 30132014027. The reversal of 30132014000 is 41023103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17797154 + ... + 17798846.

It is an arithmetic number, because the mean of its divisors is an integer number (497675178).

Almost surely, 230132014000 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 30132014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39814014240).

30132014000 is an abundant number, since it is smaller than the sum of its proper divisors (49496014480).

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

30132014000 is a wasteful number, since it uses less digits than its factorization.

30132014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30132014000 its reverse (41023103), we get a palindrome (30173037103).

The spelling of 30132014000 in words is "thirty billion, one hundred thirty-two million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 809 880 1000 1100 1375 1618 1693 2000 2200 2750 3236 3386 4045 4400 5500 6472 6772 8090 8465 8899 11000 12944 13544 16180 16930 17798 18623 20225 22000 27088 32360 33860 35596 37246 40450 42325 44495 64720 67720 71192 74492 80900 84650 88990 93115 101125 135440 142384 148984 161800 169300 177980 186230 202250 211625 222475 297968 323600 338600 355960 372460 404500 423250 444950 465575 677200 711920 744920 809000 846500 889900 931150 1112375 1369637 1489840 1618000 1693000 1779800 1862300 2224750 2327875 2739274 3386000 3559600 3724600 4449500 4655750 5478548 6848185 7449200 8899000 9311500 10957096 13696370 15066007 17798000 18623000 21914192 27392740 30132014 34240925 37246000 54785480 60264028 68481850 75330035 109570960 120528056 136963700 150660070 171204625 241056112 273927400 301320140 342409250 376650175 547854800 602640280 684818500 753300350 1205280560 1369637000 1506600700 1883250875 2739274000 3013201400 3766501750 6026402800 7533003500 15066007000 30132014000