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103442023430240 = 25511347169377167
BaseRepresentation
bin10111100001010001111001…
…000011111011100001100000
3111120020221221110122121200212
4113201101321003323201200
5102024243230444231430
61004000335354233252
730534303525436565
oct2741217103734140
9446227843577625
10103442023430240
112aa61574553390
12b727910425828
134594705625621
141b788990b286c
15be5b6ed83b95
hex5e14790fb860

103442023430240 has 96 divisors (see below), whose sum is σ = 267366602248704. Its totient is φ = 37506879639040.

The previous prime is 103442023430231. The next prime is 103442023430257. The reversal of 103442023430240 is 42034320244301.

It is a super-2 number, since 2×1034420234302402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 103442023430197 and 103442023430206.

It is a congruent number.

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, 84077864 + ... + 85299303.

It is an arithmetic number, because the mean of its divisors is an integer number (2785068773424).

Almost surely, 2103442023430240 is an apocalyptic number.

103442023430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103442023430240 is an abundant number, since it is smaller than the sum of its proper divisors (163924578818464).

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

103442023430240 is a wasteful number, since it uses less digits than its factorization.

103442023430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169377540 (or 169377532 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 103442023430240 its reverse (42034320244301), we get a palindrome (145476343674541).

The spelling of 103442023430240 in words is "one hundred three trillion, four hundred forty-two billion, twenty-three million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 347 352 440 694 880 1388 1735 1760 2776 3470 3817 5552 6940 7634 11104 13880 15268 19085 27760 30536 38170 55520 61072 76340 122144 152680 305360 610720 169377167 338754334 677508668 846885835 1355017336 1693771670 1863148837 2710034672 3387543340 3726297674 5420069344 6775086680 7452595348 9315744185 13550173360 14905190696 18631488370 27100346720 29810381392 37262976740 58773876949 59620762784 74525953480 117547753898 149051906960 235095507796 293869384745 298103813920 470191015592 587738769490 646512646439 940382031184 1175477538980 1293025292878 1880764062368 2350955077960 2586050585756 3232563232195 4701910155920 5172101171512 6465126464390 9403820311840 10344202343024 12930252928780 20688404686048 25860505857560 51721011715120 103442023430240