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141042870 = 23453141137
BaseRepresentation
bin10000110100000…
…10010010110110
3100211101201110000
420122002102312
5242101332440
621555012130
73331562463
oct1032022266
9324351400
10141042870
1172684661
123b29a046
13232b3c27
1414a3666a
15c5b0730
hex86824b6

141042870 has 160 divisors (see below), whose sum is σ = 403958016. Its totient is φ = 35251200.

The previous prime is 141042859. The next prime is 141042893. The reversal of 141042870 is 78240141.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1029442 + ... + 1029578.

Almost surely, 2141042870 is an apocalyptic number.

141042870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141042870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201979008).

141042870 is an abundant number, since it is smaller than the sum of its proper divisors (262915146).

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

141042870 is a wasteful number, since it uses less digits than its factorization.

141042870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 141042870 is about 11876.1471024908. The cubic root of 141042870 is about 520.5355306327.

The spelling of 141042870 in words is "one hundred forty-one million, forty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 41 45 54 62 81 82 90 93 123 135 137 155 162 186 205 246 270 274 279 310 369 405 410 411 465 558 615 685 738 810 822 837 930 1107 1230 1233 1271 1370 1395 1674 1845 2055 2214 2466 2511 2542 2790 3321 3690 3699 3813 4110 4185 4247 5022 5535 5617 6165 6355 6642 7398 7626 8370 8494 11070 11097 11234 11439 12330 12555 12710 12741 16605 16851 18495 19065 21235 22194 22878 25110 25482 28085 33210 33702 34317 36990 38130 38223 42470 50553 55485 56170 57195 63705 68634 76446 84255 101106 102951 110970 114390 114669 127410 151659 168510 171585 174127 191115 205902 229338 252765 303318 343170 344007 348254 382230 454977 505530 514755 522381 573345 688014 758295 870635 909954 1029510 1044762 1146690 1516590 1567143 1720035 1741270 2274885 2611905 3134286 3440070 4549770 4701429 5223810 7835715 9402858 14104287 15671430 23507145 28208574 47014290 70521435 141042870