Search a number
-
+
100240313440 = 25543137106349
BaseRepresentation
bin101110101011011001…
…0011100110001100000
3100120201220211112022111
41131112302130301200
53120243010012230
6114014425445104
710146022414531
oct1352662346140
9316656745274
10100240313440
113956a053153
1217516340794
1395b6540147
144bccd38688
15291a3a892a
hex1756c9cc60

100240313440 has 96 divisors (see below), whose sum is σ = 244096221600. Its totient is φ = 38877425664.

The previous prime is 100240313419. The next prime is 100240313443. The reversal of 100240313440 is 44313042001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100240313443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889386 + ... + 995734.

It is an arithmetic number, because the mean of its divisors is an integer number (2542668975).

Almost surely, 2100240313440 is an apocalyptic number.

100240313440 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 100240313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122048110800).

100240313440 is an abundant number, since it is smaller than the sum of its proper divisors (143855908160).

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

100240313440 is a wasteful number, since it uses less digits than its factorization.

100240313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106544 (or 106536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100240313440 its reverse (44313042001), we get a palindrome (144553355441).

The spelling of 100240313440 in words is "one hundred billion, two hundred forty million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 137 160 172 215 274 344 430 548 685 688 860 1096 1370 1376 1720 2192 2740 3440 4384 5480 5891 6880 10960 11782 21920 23564 29455 47128 58910 94256 106349 117820 188512 212698 235640 425396 471280 531745 850792 942560 1063490 1701584 2126980 3403168 4253960 4573007 8507920 9146014 14569813 17015840 18292028 22865035 29139626 36584056 45730070 58279252 72849065 73168112 91460140 116558504 145698130 146336224 182920280 233117008 291396260 365840560 466234016 582792520 626501959 731681120 1165585040 1253003918 2331170080 2506007836 3132509795 5012015672 6265019590 10024031344 12530039180 20048062688 25060078360 50120156720 100240313440