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30512044240000 = 2754657158043
BaseRepresentation
bin1101111000000001000111…
…00011101110110010000000
311000000220220211021020221121
412330000203203232302000
512444402131311140000
6144521012320202024
76266264620540111
oct674004343566200
9130026824236847
1030512044240000
1197a40a3587304
123509531a69314
13140437294124b
14776b10026208
1537da4cebab1a
hex1bc0238eec80

30512044240000 has 160 divisors (see below), whose sum is σ = 75970695533040. Its totient is φ = 12202750080000.

The previous prime is 30512044239983. The next prime is 30512044240001. The reversal of 30512044240000 is 4244021503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (30512044240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 525650979 + ... + 525709021.

Almost surely, 230512044240000 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 30512044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37985347766520).

30512044240000 is an abundant number, since it is smaller than the sum of its proper divisors (45458651293040).

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

30512044240000 is an frugal number, since it uses more digits than its factorization.

30512044240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64648 (or 64621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 30512044240000 its reverse (4244021503), we get a palindrome (30516288261503).

The spelling of 30512044240000 in words is "thirty trillion, five hundred twelve billion, forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 6571 8000 10000 13142 16000 20000 26284 32855 40000 52568 58043 65710 80000 105136 116086 131420 164275 210272 232172 262840 290215 328550 420544 464344 525680 580430 657100 821375 841088 928688 1051360 1160860 1314200 1451075 1642750 1857376 2102720 2321720 2628400 2902150 3285500 3714752 4106875 4205440 4643440 5256800 5804300 6571000 7255375 7429504 8213750 9286880 10513600 11608600 13142000 14510750 16427500 18573760 21027200 23217200 26284000 29021500 32855000 36276875 37147520 46434400 52568000 58043000 65710000 72553750 92868800 105136000 116086000 131420000 145107500 185737600 232172000 262840000 290215000 381400553 464344000 525680000 580430000 762801106 928688000 1160860000 1525602212 1907002765 2321720000 3051204424 3814005530 4643440000 6102408848 7628011060 9535013825 12204817696 15256022120 19070027650 24409635392 30512044240 38140055300 47675069125 48819270784 61024088480 76280110600 95350138250 122048176960 152560221200 190700276500 238375345625 244096353920 305120442400 381400553000 476750691250 610240884800 762801106000 953501382500 1220481769600 1525602212000 1907002765000 3051204424000 3814005530000 6102408848000 7628011060000 15256022120000 30512044240000