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73132271414000 = 245343850375249
BaseRepresentation
bin10000101000001101101111…
…000011110010101011110000
3100120221101011201220002002222
4100220031233003302223300
534041144342440222000
6415312300210300212
721255426601246541
oct2050155703625360
9316841151802088
1073132271414000
1121336249727987
128251635887668
1331a6460b85086
14140b8997744c8
1586c5116c4a85
hex42836f0f2af0

73132271414000 has 80 divisors (see below), whose sum is σ = 180946247196000. Its totient is φ = 28572608332800.

The previous prime is 73132271413997. The next prime is 73132271414011. The reversal of 73132271414000 is 41417223137.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425101625 + ... + 425273624.

It is an arithmetic number, because the mean of its divisors is an integer number (2261828089950).

Almost surely, 273132271414000 is an apocalyptic number.

It is an amenable number.

73132271414000 is an abundant number, since it is smaller than the sum of its proper divisors (107813975782000).

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

73132271414000 is a wasteful number, since it uses less digits than its factorization.

73132271414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850375315 (or 850375299 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 73132271414000 its reverse (41417223137), we get a palindrome (73173688637137).

The spelling of 73132271414000 in words is "seventy-three trillion, one hundred thirty-two billion, two hundred seventy-one million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 86000 850375249 1700750498 3401500996 4251876245 6803001992 8503752490 13606003984 17007504980 21259381225 34015009960 36566135707 42518762450 68030019920 73132271414 85037524900 106296906125 146264542828 170075049800 182830678535 212593812250 292529085656 340150099600 365661357070 425187624500 585058171312 731322714140 850375249000 914153392675 1462645428280 1700750498000 1828306785350 2925290856560 3656613570700 4570766963375 7313227141400 9141533926750 14626454282800 18283067853500 36566135707000 73132271414000