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141271470 = 232529113479
BaseRepresentation
bin10000110101110…
…10000110101110
3100211211100000200
420122322012232
5242131141340
622003534330
73333534114
oct1032720656
9324740020
10141271470
117282038a
123b38a3a6
1323363cb2
1414a95ab4
15c608330
hex86ba1ae

141271470 has 96 divisors (see below), whose sum is σ = 384134400. Its totient is φ = 35976192.

The previous prime is 141271457. The next prime is 141271477. The reversal of 141271470 is 74172141.

141271470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141271477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294691 + ... + 295169.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2141271470 is an apocalyptic number.

141271470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141271470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

141271470 is an abundant number, since it is smaller than the sum of its proper divisors (242862930).

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

141271470 is a wasteful number, since it uses less digits than its factorization.

141271470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 141271470 is about 11885.7675393725. The cubic root of 141271470 is about 520.8166040209.

The spelling of 141271470 in words is "one hundred forty-one million, two hundred seventy-one thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 113 145 174 226 261 290 339 435 479 522 565 678 870 958 1017 1130 1305 1437 1695 2034 2395 2610 2874 3277 3390 4311 4790 5085 6554 7185 8622 9831 10170 13891 14370 16385 19662 21555 27782 29493 32770 41673 43110 49155 54127 58986 69455 83346 98310 108254 125019 138910 147465 162381 208365 250038 270635 294930 324762 416730 487143 541270 625095 811905 974286 1250190 1569683 1623810 2435715 3139366 4709049 4871430 7848415 9418098 14127147 15696830 23545245 28254294 47090490 70635735 141271470