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20434241202000 = 243535036770789
BaseRepresentation
bin1001010010101101101111…
…01100000010011101010000
32200100111100101220011102020
410221112313230002131100
510134243311221431000
6111243205534051440
74206216355235103
oct451266754023520
980314311804366
1020434241202000
11656912749128a
122360362049b80
13b52c2c88a842
14509045c4873a
1525681c8c5ba0
hex1295b7b02750

20434241202000 has 160 divisors (see below), whose sum is σ = 66010977527040. Its totient is φ = 5438296921600.

The previous prime is 20434241201989. The next prime is 20434241202031. The reversal of 20434241202000 is 20214243402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367395 + ... + 6403394.

It is an arithmetic number, because the mean of its divisors is an integer number (412568609544).

Almost surely, 220434241202000 is an apocalyptic number.

20434241202000 is a gapful number since it is divisible by the number (20) 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 20434241202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33005488763520).

20434241202000 is an abundant number, since it is smaller than the sum of its proper divisors (45576736325040).

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

20434241202000 is a wasteful number, since it uses less digits than its factorization.

20434241202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771318 (or 6771302 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20434241202000 its reverse (20214243402), we get a palindrome (20454455445402).

The spelling of 20434241202000 in words is "twenty trillion, four hundred thirty-four billion, two hundred forty-one million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 503 600 750 1000 1006 1200 1500 1509 2000 2012 2515 3000 3018 4024 5030 6000 6036 7545 8048 10060 12072 12575 15090 20120 24144 25150 30180 37725 40240 50300 60360 62875 75450 100600 120720 125750 150900 188625 201200 251500 301800 377250 503000 603600 754500 1006000 1509000 3018000 6770789 13541578 20312367 27083156 33853945 40624734 54166312 67707890 81249468 101561835 108332624 135415780 162498936 169269725 203123670 270831560 324997872 338539450 406247340 507809175 541663120 677078900 812494680 846348625 1015618350 1354157800 1624989360 1692697250 2031236700 2539045875 2708315600 3385394500 3405706867 4062473400 5078091750 6770789000 6811413734 8124946800 10156183500 10217120601 13541578000 13622827468 17028534335 20312367000 20434241202 27245654936 34057068670 40624734000 40868482404 51085603005 54491309872 68114137340 81736964808 85142671675 102171206010 136228274680 163473929616 170285343350 204342412020 255428015025 272456549360 340570686700 408684824040 425713358375 510856030050 681141373400 817369648080 851426716750 1021712060100 1277140075125 1362282746800 1702853433500 2043424120200 2554280150250 3405706867000 4086848240400 5108560300500 6811413734000 10217120601000 20434241202000