Search a number
-
+
10407412841100 = 22352113153761467
BaseRepresentation
bin1001011101110010101000…
…1001010011101010001100
31100211221100111100222010120
42113130222021103222030
52331003340141403400
634045033252104540
72122624251351042
oct227345211235214
940757314328116
1010407412841100
113352839256680
121201039605150
135a6551488b72
1427da159d6392
15130ac2503ca0
hex9772a253a8c

10407412841100 has 72 divisors (see below), whose sum is σ = 32849579450688. Its totient is φ = 2523009172800.

The previous prime is 10407412841087. The next prime is 10407412841107. The reversal of 10407412841100 is 114821470401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10407412841107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576877434 + ... + 1576884033.

Almost surely, 210407412841100 is an apocalyptic number.

10407412841100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10407412841100 is an abundant number, since it is smaller than the sum of its proper divisors (22442166609588).

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

10407412841100 is a wasteful number, since it uses less digits than its factorization.

10407412841100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153761495 (or 3153761488 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 10407412841100 in words is "ten trillion, four hundred seven billion, four hundred twelve million, eight hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3153761467 6307522934 9461284401 12615045868 15768807335 18922568802 31537614670 34691376137 37845137604 47306422005 63075229340 69382752274 78844036675 94612844010 104074128411 138765504548 157688073350 173456880685 189225688020 208148256822 236532110025 315376146700 346913761370 416296513644 473064220050 520370642055 693827522740 867284403425 946128440100 1040741284110 1734568806850 2081482568220 2601853210275 3469137613700 5203706420550 10407412841100