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1021241414000 = 24539725720483
BaseRepresentation
bin11101101110001101011…
…10110101000101110000
310121122000001220001121002
432313012232311011300
5113213000300222000
62101052443421132
7133532212535513
oct16670656650560
93548001801532
101021241414000
113641191776a5
12145b0b8247a8
13753c1c07c72
14375dd55cd7a
151b87149d8d5
hexedc6bb5170

1021241414000 has 160 divisors (see below), whose sum is σ = 2504648817216. Its totient is φ = 402692505600.

The previous prime is 1021241413999. The next prime is 1021241414009. The reversal of 1021241414000 is 4141421201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021241414009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49847759 + ... + 49868241.

Almost surely, 21021241414000 is an apocalyptic number.

1021241414000 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 1021241414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252324408608).

1021241414000 is an abundant number, since it is smaller than the sum of its proper divisors (1483407403216).

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

1021241414000 is a wasteful number, since it uses less digits than its factorization.

1021241414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20860 (or 20844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1021241414000 its reverse (4141421201), we get a palindrome (1025382835201).

The spelling of 1021241414000 in words is "one trillion, twenty-one billion, two hundred forty-one million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 257 388 400 485 500 514 776 970 1000 1028 1285 1552 1940 2000 2056 2425 2570 3880 4112 4850 5140 6425 7760 9700 10280 12125 12850 19400 20483 20560 24250 24929 25700 32125 38800 40966 48500 49858 51400 64250 81932 97000 99716 102415 102800 124645 128500 163864 194000 199432 204830 249290 257000 327728 398864 409660 498580 512075 514000 623225 819320 997160 1024150 1246450 1638640 1986851 1994320 2048300 2492900 2560375 3116125 3973702 4096600 4985800 5120750 5264131 6232250 7947404 8193200 9934255 9971600 10241500 10528262 12464500 15894808 19868510 20483000 21056524 24929000 26320655 31789616 39737020 40966000 42113048 49671275 49858000 52641310 79474040 84226096 99342550 105282620 131603275 158948080 198685100 210565240 248356375 263206550 397370200 421130480 496712750 510620707 526413100 658016375 794740400 993425500 1021241414 1052826200 1316032750 1986851000 2042482828 2105652400 2553103535 2632065500 3973702000 4084965656 5106207070 5264131000 8169931312 10212414140 10528262000 12765517675 20424828280 25531035350 40849656560 51062070700 63827588375 102124141400 127655176750 204248282800 255310353500 510620707000 1021241414000