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141542040 = 23352989457
BaseRepresentation
bin10000110111111…
…00001010011000
3100212100002011210
420123330022120
5242213321130
622013423120
73336042003
oct1033741230
9325302153
10141542040
11729956a2
123b49aaa0
132342a1b3
1414b2653a
15c65d5b0
hex86fc298

141542040 has 128 divisors (see below), whose sum is σ = 445176000. Its totient is φ = 35954688.

The previous prime is 141542033. The next prime is 141542041. The reversal of 141542040 is 40245141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141541998 and 141542016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141542041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309492 + ... + 309948.

Almost surely, 2141542040 is an apocalyptic number.

141542040 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 141542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222588000).

141542040 is an abundant number, since it is smaller than the sum of its proper divisors (303633960).

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

141542040 is a wasteful number, since it uses less digits than its factorization.

141542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 141542040 is about 11897.1441951420. The cubic root of 141542040 is about 521.1488897500.

Adding to 141542040 its reverse (40245141), we get a palindrome (181787181).

The spelling of 141542040 in words is "one hundred forty-one million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 89 116 120 145 174 178 232 267 290 348 356 435 445 457 534 580 696 712 870 890 914 1068 1160 1335 1371 1740 1780 1828 2136 2285 2581 2670 2742 3480 3560 3656 4570 5162 5340 5484 6855 7743 9140 10324 10680 10968 12905 13253 13710 15486 18280 20648 25810 26506 27420 30972 38715 39759 40673 51620 53012 54840 61944 66265 77430 79518 81346 103240 106024 122019 132530 154860 159036 162692 198795 203365 244038 265060 309720 318072 325384 397590 406730 488076 530120 610095 795180 813460 976152 1179517 1220190 1590360 1626920 2359034 2440380 3538551 4718068 4880760 5897585 7077102 9436136 11795170 14154204 17692755 23590340 28308408 35385510 47180680 70771020 141542040