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141204432140 = 22541475962099
BaseRepresentation
bin1000001110000001110…
…0001010010100001100
3111111110210001101000222
42003200130022110030
54303141313312030
6144511325010512
713126114604162
oct2034034122414
9444423041028
10141204432140
1154980247902
12234490b3a38
1310414278935
146b97593232
153a168353e5
hex20e070a50c

141204432140 has 96 divisors (see below), whose sum is σ = 315487872000. Its totient is φ = 53016788480.

The previous prime is 141204432113. The next prime is 141204432163. The reversal of 141204432140 is 41234402141.

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 31 ways as a sum of consecutive naturals, for example, 2242811 + ... + 2304909.

It is an arithmetic number, because the mean of its divisors is an integer number (3286332000).

Almost surely, 2141204432140 is an apocalyptic number.

141204432140 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 141204432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936000).

141204432140 is an abundant number, since it is smaller than the sum of its proper divisors (174283439860).

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

141204432140 is a wasteful number, since it uses less digits than its factorization.

141204432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62255 (or 62253 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 141204432140 its reverse (41234402141), we get a palindrome (182438834281).

The spelling of 141204432140 in words is "one hundred forty-one billion, two hundred four million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 47 59 82 94 118 164 188 205 235 236 295 410 470 590 820 940 1180 1927 2419 2773 3854 4838 5546 7708 9635 9676 11092 12095 13865 19270 24190 27730 38540 48380 55460 62099 113693 124198 227386 248396 310495 454772 568465 620990 1136930 1241980 2273860 2546059 2918653 3663841 5092118 5837306 7327682 10184236 11674612 12730295 14593265 14655364 18319205 25460590 29186530 36638410 50921180 58373060 73276820 119664773 150217481 172200527 239329546 300434962 344401054 478659092 598323865 600869924 688802108 751087405 861002635 1196647730 1502174810 1722005270 2393295460 3004349620 3444010540 7060221607 14120443214 28240886428 35301108035 70602216070 141204432140