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141312720 = 2435718293
BaseRepresentation
bin10000110110001…
…00001011010000
3100211220102121110
420123010023100
5242134001340
622004453320
73334065303
oct1033041320
9324812543
10141312720
117284937a
123b3aa240
13233799c3
1414aa6b3a
15c615680
hex86c42d0

141312720 has 80 divisors (see below), whose sum is σ = 444292992. Its totient is φ = 37148160.

The previous prime is 141312719. The next prime is 141312733. The reversal of 141312720 is 27213141.

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, 12894 + ... + 21186.

Almost surely, 2141312720 is an apocalyptic number.

141312720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222146496).

141312720 is an abundant number, since it is smaller than the sum of its proper divisors (302980272).

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

141312720 is a wasteful number, since it uses less digits than its factorization.

141312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8380 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 141312720 is about 11887.5026813877. The cubic root of 141312720 is about 520.8672903443.

Adding to 141312720 its reverse (27213141), we get a palindrome (168525861).

The spelling of 141312720 in words is "one hundred forty-one million, three hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8293 8520 16586 17040 24879 33172 41465 49758 66344 82930 99516 124395 132688 165860 199032 248790 331720 398064 497580 588803 663440 995160 1177606 1766409 1990320 2355212 2944015 3532818 4710424 5888030 7065636 8832045 9420848 11776060 14131272 17664090 23552120 28262544 35328180 47104240 70656360 141312720