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141194970 = 232572101317
BaseRepresentation
bin10000110101001…
…11011011011010
3100211200110002100
420122213123122
5242121214340
622002144230
73333065100
oct1032473332
9324613070
10141194970
1172778964
123b352076
1323338227
1414a75c70
15c5e0830
hex86a76da

141194970 has 144 divisors (see below), whose sum is σ = 432631368. Its totient is φ = 31852800.

The previous prime is 141194959. The next prime is 141195007. The reversal of 141194970 is 79491141.

It can be written as a sum of positive squares in 4 ways, for example, as 115154361 + 26040609 = 10731^2 + 5103^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445252 + ... + 445568.

Almost surely, 2141194970 is an apocalyptic number.

141194970 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 141194970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216315684).

141194970 is an abundant number, since it is smaller than the sum of its proper divisors (291436398).

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

141194970 is a wasteful number, since it uses less digits than its factorization.

141194970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 141194970 is about 11882.5489689713. The cubic root of 141194970 is about 520.7225778077.

The spelling of 141194970 in words is "one hundred forty-one million, one hundred ninety-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 101 105 126 147 202 210 245 294 303 315 317 441 490 505 606 630 634 707 735 882 909 951 1010 1414 1470 1515 1585 1818 1902 2121 2205 2219 2853 3030 3170 3535 4242 4410 4438 4545 4755 4949 5706 6363 6657 7070 9090 9510 9898 10605 11095 12726 13314 14265 14847 15533 19971 21210 22190 24745 28530 29694 31066 31815 32017 33285 39942 44541 46599 49490 63630 64034 66570 74235 77665 89082 93198 96051 99855 139797 148470 155330 160085 192102 199710 222705 224119 232995 279594 288153 320170 445410 448238 465990 480255 576306 672357 698985 960510 1120595 1344714 1397970 1440765 1568833 2017071 2241190 2881530 3137666 3361785 4034142 4706499 6723570 7844165 9412998 10085355 14119497 15688330 20170710 23532495 28238994 47064990 70597485 141194970