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141621261000 = 2335397486671
BaseRepresentation
bin1000001111100101001…
…0001111001011001000
3111112112211101110201220
42003321102033023020
54310020020323000
6145020535042040
713142335566522
oct2037122171310
9445484343656
10141621261000
115507456756a
1223544810320
131047c73012b
146bd6a98a12
153a3d2201a0
hex20f948f2c8

141621261000 has 128 divisors (see below), whose sum is σ = 446414492160. Its totient is φ = 37376256000.

The previous prime is 141621260983. The next prime is 141621261007. The reversal of 141621261000 is 162126141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141621261007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47665 + ... + 534335.

It is an arithmetic number, because the mean of its divisors is an integer number (3487613220).

Almost surely, 2141621261000 is an apocalyptic number.

141621261000 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 141621261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223207246080).

141621261000 is an abundant number, since it is smaller than the sum of its proper divisors (304793231160).

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

141621261000 is a wasteful number, since it uses less digits than its factorization.

141621261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486792 (or 486778 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 141621261000 its reverse (162126141), we get a palindrome (141783387141).

The spelling of 141621261000 in words is "one hundred forty-one billion, six hundred twenty-one million, two hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 125 150 194 200 250 291 300 375 388 485 500 582 600 750 776 970 1000 1164 1455 1500 1940 2328 2425 2910 3000 3880 4850 5820 7275 9700 11640 12125 14550 19400 24250 29100 36375 48500 58200 72750 97000 145500 291000 486671 973342 1460013 1946684 2433355 2920026 3893368 4866710 5840052 7300065 9733420 11680104 12166775 14600130 19466840 24333550 29200260 36500325 47207087 48667100 58400520 60833875 73000650 94414174 97334200 121667750 141621261 146001300 182501625 188828348 236035435 243335500 283242522 292002600 365003250 377656696 472070870 486671000 566485044 708106305 730006500 944141740 1132970088 1180177175 1416212610 1460013000 1888283480 2360354350 2832425220 3540531525 4720708700 5664850440 5900885875 7081063050 9441417400 11801771750 14162126100 17702657625 23603543500 28324252200 35405315250 47207087000 70810630500 141621261000