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141717492 = 22337316047
BaseRepresentation
bin10000111001001…
…10111111110100
3100212122222212000
420130212333310
5242234424432
622021255300
73340402350
oct1034467764
9325588760
10141717492
1172aa54a4
123b564530
132348c007
1414b70460
15c69557c
hex8726ff4

141717492 has 96 divisors (see below), whose sum is σ = 433520640. Its totient is φ = 39178080.

The previous prime is 141717479. The next prime is 141717557. The reversal of 141717492 is 294717141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20413 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2141717492 is an apocalyptic number.

141717492 is a gapful number since it is divisible by the number (12) 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 141717492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

141717492 is an abundant number, since it is smaller than the sum of its proper divisors (291803148).

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

141717492 is a wasteful number, since it uses less digits than its factorization.

141717492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098 (or 6090 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 141717492 is about 11904.5156138333. The cubic root of 141717492 is about 521.3641352468.

The spelling of 141717492 in words is "one hundred forty-one million, seven hundred seventeen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 6047 7812 11718 12094 18141 23436 24188 36282 42329 54423 72564 84658 108846 126987 163269 169316 187457 217692 253974 326538 374914 380961 507948 562371 653076 749828 761922 1124742 1142883 1312199 1523844 1687113 2249484 2285766 2624398 3374226 3936597 4571532 5061339 5248796 6748452 7873194 10122678 11809791 15746388 20245356 23619582 35429373 47239164 70858746 141717492