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141024023240 = 23531212953419
BaseRepresentation
bin1000001101010110101…
…1111101001011001000
3111111000012120122112212
42003111223331023020
54302304122220430
6144441402124252
713121464263542
oct2032553751310
9444005518485
10141024023240
1154898425a41
12233b87b0688
13103b5a908c9
146b7b630692
153a05a9ab95
hex20d5afd2c8

141024023240 has 64 divisors (see below), whose sum is σ = 327699648000. Its totient is φ = 54563281920.

The previous prime is 141024023201. The next prime is 141024023263. The reversal of 141024023240 is 42320420141.

141024023240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 2613251 + ... + 2666669.

It is an arithmetic number, because the mean of its divisors is an integer number (5120307000).

Almost surely, 2141024023240 is an apocalyptic number.

141024023240 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 141024023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163849824000).

141024023240 is an abundant number, since it is smaller than the sum of its proper divisors (186675624760).

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

141024023240 is a wasteful number, since it uses less digits than its factorization.

141024023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55590 (or 55586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 141024023240 its reverse (42320420141), we get a palindrome (183344443381).

The spelling of 141024023240 in words is "one hundred forty-one billion, twenty-four million, twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2129 4258 8516 10645 17032 21290 42580 53419 65999 85160 106838 131998 213676 263996 267095 329995 427352 527992 534190 659990 1068380 1319980 1655989 2136760 2639960 3311978 6623956 8279945 13247912 16559890 33119780 66239560 113729051 227458102 454916204 568645255 909832408 1137290510 2274581020 3525600581 4549162040 7051201162 14102402324 17628002905 28204804648 35256005810 70512011620 141024023240