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3143145749200 = 245235933218681
BaseRepresentation
bin101101101111010010000…
…101011111101011010000
3102010111000020020202211221
4231233102011133223100
5402444130302433300
610403535145414424
7443041040022622
oct55572205375320
912114006222757
103143145749200
111002000919846
124291b519a414
1319a522047552
14ac1b422ac12
1556b616e931a
hex2dbd215fad0

3143145749200 has 60 divisors (see below), whose sum is σ = 7551652347468. Its totient is φ = 1257217561600.

The previous prime is 3143145749189. The next prime is 3143145749221. The reversal of 3143145749200 is 29475413413.

It can be written as a sum of positive squares in 6 ways, for example, as 462106286656 + 2681039462544 = 679784^2 + 1637388^2 .

It is a super-3 number, since 3×31431457492003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14263860 + ... + 14482540.

Almost surely, 23143145749200 is an apocalyptic number.

It is an amenable number.

3143145749200 is an abundant number, since it is smaller than the sum of its proper divisors (4408506598268).

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

3143145749200 is a wasteful number, since it uses less digits than its factorization.

3143145749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254632 (or 254621 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 3143145749200 in words is "three trillion, one hundred forty-three billion, one hundred forty-five million, seven hundred forty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35933 71866 143732 179665 218681 287464 359330 437362 574928 718660 874724 898325 1093405 1437320 1749448 1796650 2186810 2874640 3498896 3593300 4373620 5467025 7186600 8747240 10934050 14373200 17494480 21868100 43736200 87472400 7857864373 15715728746 31431457492 39289321865 62862914984 78578643730 125725829968 157157287460 196446609325 314314574920 392893218650 628629149840 785786437300 1571572874600 3143145749200