Search a number
-
+
1001457049008 = 243133331481807
BaseRepresentation
bin11101001001010110111…
…11011101110110110000
310112201221021010011222010
432210223133131312300
5112401441001032013
62044021340042520
7132232016315223
oct16445337356660
93481837104863
101001457049008
1135679643a429
12142109b33440
137358b100010
1436683b695ba
151b0b46297c3
hexe92b7dddb0

1001457049008 has 80 divisors (see below), whose sum is σ = 2786947068416. Its totient is φ = 308047484160.

The previous prime is 1001457048983. The next prime is 1001457049031. The reversal of 1001457049008 is 8009407541001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1837641 + ... + 2319447.

Almost surely, 21001457049008 is an apocalyptic number.

It is an amenable number.

1001457049008 is an abundant number, since it is smaller than the sum of its proper divisors (1785490019408).

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

1001457049008 is a wasteful number, since it uses less digits than its factorization.

1001457049008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485162 (or 485156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1001457049008 in words is "one trillion, one billion, four hundred fifty-seven million, forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3331 6662 9993 13324 19986 26648 39972 43303 53296 79944 86606 129909 159888 173212 259818 346424 481807 519636 692848 963614 1039272 1445421 1927228 2078544 2890842 3854456 5781684 6263491 7708912 11563368 12526982 18790473 23126736 25053964 37580946 50107928 75161892 100215856 150323784 300647568 1604899117 3209798234 4814697351 6419596468 9629394702 12839192936 19258789404 20863688521 25678385872 38517578808 41727377042 62591065563 77035157616 83454754084 125182131126 166909508168 250364262252 333819016336 500728524504 1001457049008