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141542402540 = 225721143305351
BaseRepresentation
bin1000001111010010010…
…1011010100111101100
3111112100100000001021012
42003310211122213230
54304334323340130
6145005040524352
713140360366500
oct2036445324754
9445310001235
10141542402540
1155033aa5a90
12235223206b8
13104692ac516
146bca40c300
153a36344995
hex20f495a9ec

141542402540 has 144 divisors (see below), whose sum is σ = 385974699264. Its totient is φ = 43090992000.

The previous prime is 141542402537. The next prime is 141542402567. The reversal of 141542402540 is 45204245141.

141542402540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141542402497 and 141542402506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310865 + ... + 616215.

It is an arithmetic number, because the mean of its divisors is an integer number (2680379856).

Almost surely, 2141542402540 is an apocalyptic number.

141542402540 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 141542402540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192987349632).

141542402540 is an abundant number, since it is smaller than the sum of its proper divisors (244432296724).

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

141542402540 is a wasteful number, since it uses less digits than its factorization.

141542402540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305428 (or 305419 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 141542402540 its reverse (45204245141), we get a palindrome (186746647681).

The spelling of 141542402540 in words is "one hundred forty-one billion, five hundred forty-two million, four hundred two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 49 55 70 77 86 98 110 140 154 172 196 215 220 245 301 308 385 430 473 490 539 602 770 860 946 980 1078 1204 1505 1540 1892 2107 2156 2365 2695 3010 3311 4214 4730 5390 6020 6622 8428 9460 10535 10780 13244 16555 21070 23177 33110 42140 46354 66220 92708 115885 231770 305351 463540 610702 1221404 1526755 2137457 3053510 3358861 4274914 6107020 6717722 8549828 10687285 13130093 13435444 14962199 16794305 21374570 23512027 26260186 29924398 33588610 42749140 47024054 52520372 59848796 65650465 67177220 74810995 91910651 94048108 117560135 131300930 144431023 149621990 164584189 183821302 235120270 262601860 288862046 299243980 329168378 367642604 459553255 470240540 577724092 643374557 658336756 722155115 822920945 919106510 1011017161 1286749114 1444310230 1645841890 1838213020 2022034322 2573498228 2888620460 3216872785 3291683780 4044068644 5055085805 6433745570 7077120127 10110171610 12867491140 14154240254 20220343220 28308480508 35385600635 70771201270 141542402540