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141225980 = 22572361719
BaseRepresentation
bin10000110101011…
…10111111111100
3100211202000121212
420122232333330
5242123212410
622002543552
73333254360
oct1032567774
9324660555
10141225980
117279a195
123b367bb8
132334938c
1414a832a0
15c5e9b05
hex86aeffc

141225980 has 96 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 45492480.

The previous prime is 141225979. The next prime is 141225989. The reversal of 141225980 is 89522141.

141225980 is digitally balanced in base 3, 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 (141225989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196061 + ... + 196779.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2141225980 is an apocalyptic number.

141225980 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 141225980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

141225980 is an abundant number, since it is smaller than the sum of its proper divisors (218750980).

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

141225980 is a wasteful number, since it uses less digits than its factorization.

141225980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 141225980 is about 11883.8537520453. The cubic root of 141225980 is about 520.7606963165.

It can be divided in two parts, 14122 and 5980, that added together give a palindrome (20102).

The spelling of 141225980 in words is "one hundred forty-one million, two hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 61 70 92 115 122 140 161 230 244 305 322 427 460 610 644 719 805 854 1220 1403 1438 1610 1708 2135 2806 2876 3220 3595 4270 5033 5612 7015 7190 8540 9821 10066 14030 14380 16537 19642 20132 25165 28060 33074 39284 43859 49105 50330 66148 82685 87718 98210 100660 115759 165370 175436 196420 219295 231518 307013 330740 438590 463036 578795 614026 877180 1008757 1157590 1228052 1535065 2017514 2315180 3070130 4035028 5043785 6140260 7061299 10087570 14122598 20175140 28245196 35306495 70612990 141225980