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141242616 = 23343743137
BaseRepresentation
bin10000110101100…
…11000011111000
3100211202212110000
420122303003320
5242124230431
622003153000
73333354024
oct1032630370
9324685400
10141242616
1172800739
123b375760
1323353b18
1414a89384
15c5ee9e6
hex86b30f8

141242616 has 160 divisors (see below), whose sum is σ = 418785840. Its totient is φ = 44416512.

The previous prime is 141242587. The next prime is 141242623. The reversal of 141242616 is 616242141.

141242616 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 42 + 616 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 141242616.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1030900 + ... + 1031036.

Almost surely, 2141242616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141242616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209392920).

141242616 is an abundant number, since it is smaller than the sum of its proper divisors (277543224).

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

141242616 is a wasteful number, since it uses less digits than its factorization.

141242616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 141242616 is about 11884.5536727300. The cubic root of 141242616 is about 520.7811435335.

Adding to 141242616 its reverse (616242141), we get a palindrome (757484757).

It can be divided in two parts, 141 and 242616, that multiplied together give a triangular number (34208856 = T8271).

The spelling of 141242616 in words is "one hundred forty-one million, two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 72 74 81 86 108 111 129 137 148 162 172 216 222 258 274 296 324 333 344 387 411 444 516 548 648 666 774 822 888 999 1032 1096 1161 1233 1332 1548 1591 1644 1998 2322 2466 2664 2997 3096 3182 3288 3483 3699 3996 4644 4773 4932 5069 5891 5994 6364 6966 7398 7992 9288 9546 9864 10138 11097 11782 11988 12728 13932 14319 14796 15207 17673 19092 20276 22194 23564 23976 27864 28638 29592 30414 35346 38184 40552 42957 44388 45621 47128 53019 57276 60828 70692 85914 88776 91242 106038 114552 121656 128871 136863 141384 159057 171828 182484 212076 217967 257742 273726 318114 343656 364968 410589 424152 435934 477171 515484 547452 636228 653901 821178 871868 954342 1030968 1094904 1272456 1307802 1642356 1743736 1908684 1961703 2615604 3284712 3817368 3923406 5231208 5885109 7846812 11770218 15693624 17655327 23540436 35310654 47080872 70621308 141242616