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141132552 = 233116779101
BaseRepresentation
bin10000110100110…
…00001100001000
3100211120021110120
420122120030020
5242112220202
622000543240
73332415111
oct1032301410
9324507416
10141132552
1172735a80
123b321b20
13233159b2
1414a5b208
15c5cc0bc
hex8698308

141132552 has 128 divisors (see below), whose sum is σ = 399513600. Its totient is φ = 41184000.

The previous prime is 141132547. The next prime is 141132569. The reversal of 141132552 is 255231141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1397302 + ... + 1397402.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2141132552 is an apocalyptic number.

141132552 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 141132552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

141132552 is an abundant number, since it is smaller than the sum of its proper divisors (258381048).

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

141132552 is a wasteful number, since it uses less digits than its factorization.

141132552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 141132552 is about 11879.9222219676. The cubic root of 141132552 is about 520.6458346289.

Adding to 141132552 its reverse (255231141), we get a palindrome (396363693).

The spelling of 141132552 in words is "one hundred forty-one million, one hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 79 88 101 132 134 158 201 202 237 264 268 303 316 402 404 474 536 606 632 737 804 808 869 948 1111 1212 1474 1608 1738 1896 2211 2222 2424 2607 2948 3333 3476 4422 4444 5214 5293 5896 6666 6767 6952 7979 8844 8888 10428 10586 13332 13534 15879 15958 17688 20301 20856 21172 23937 26664 27068 31758 31916 40602 42344 47874 54136 58223 63516 63832 74437 81204 87769 95748 116446 127032 148874 162408 174669 175538 191496 223311 232892 263307 297748 349338 351076 446622 465784 526614 534593 595496 698676 702152 893244 1053228 1069186 1397352 1603779 1786488 2106456 2138372 3207558 4276744 5880523 6415116 11761046 12830232 17641569 23522092 35283138 47044184 70566276 141132552