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141247152 = 2435172137
BaseRepresentation
bin10000110101101…
…00001010110000
3100211210002200000
420122310022300
5242124402102
622003230000
73333403164
oct1032641260
9324702600
10141247152
1172804092
123b378300
1323355bc7
1414a8aca4
15c60101c
hex86b42b0

141247152 has 120 divisors (see below), whose sum is σ = 434253456. Its totient is φ = 44292096.

The previous prime is 141247123. The next prime is 141247153. The reversal of 141247152 is 251742141.

141247152 is a `hidden beast` number, since 141 + 2 + 471 + 52 = 666.

It is a super-2 number, since 2×1412471522 = 39901515896222208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141247153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65028 + ... + 67164.

Almost surely, 2141247152 is an apocalyptic number.

141247152 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 141247152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217126728).

141247152 is an abundant number, since it is smaller than the sum of its proper divisors (293006304).

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

141247152 is a wasteful number, since it uses less digits than its factorization.

141247152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2159 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 141247152 is about 11884.7445071402. The cubic root of 141247152 is about 520.7867184279.

Adding to 141247152 its reverse (251742141), we get a palindrome (392989293).

The spelling of 141247152 in words is "one hundred forty-one million, two hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2137 2448 2754 3672 3888 4131 4274 5508 6411 7344 8262 8548 11016 12822 16524 17096 19233 22032 25644 33048 34192 36329 38466 51288 57699 66096 72658 76932 102576 108987 115398 145316 153864 173097 217974 230796 290632 307728 326961 346194 435948 461592 519291 581264 653922 692388 871896 923184 980883 1038582 1307844 1384776 1743792 1961766 2077164 2615688 2769552 2942649 3923532 4154328 5231376 5885298 7847064 8308656 8827947 11770596 15694128 17655894 23541192 35311788 47082384 70623576 141247152