Search a number
-
+
20134421040 = 24354115713033
BaseRepresentation
bin10010110000000110…
…101110001000110000
31220222012110120020210
4102300012232020300
5312213402433130
613125530304120
71311643516656
oct226006561060
956865416223
1020134421040
1185a23a0598
123a9ab88040
131b8b4b0806
14d900b6dd6
157cc96e5b0
hex4b01ae230

20134421040 has 160 divisors (see below), whose sum is σ = 64351256256. Its totient is φ = 5204459520.

The previous prime is 20134421033. The next prime is 20134421059. The reversal of 20134421040 is 4012443102.

It is a junction number, because it is equal to n+sod(n) for n = 20134420998 and 20134421016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538364 + ... + 1551396.

Almost surely, 220134421040 is an apocalyptic number.

20134421040 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 20134421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175628128).

20134421040 is an abundant number, since it is smaller than the sum of its proper divisors (44216835216).

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

20134421040 is a wasteful number, since it uses less digits than its factorization.

20134421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20134421040 its reverse (4012443102), we get a palindrome (24146864142).

The spelling of 20134421040 in words is "twenty billion, one hundred thirty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 157 164 205 240 246 314 328 410 471 492 615 628 656 785 820 942 984 1230 1256 1570 1640 1884 1968 2355 2460 2512 3140 3280 3768 4710 4920 6280 6437 7536 9420 9840 12560 12874 13033 18840 19311 25748 26066 32185 37680 38622 39099 51496 52132 64370 65165 77244 78198 96555 102992 104264 128740 130330 154488 156396 193110 195495 208528 257480 260660 308976 312792 386220 390990 514960 521320 534353 625584 772440 781980 1042640 1068706 1544880 1563960 1603059 2046181 2137412 2671765 3127920 3206118 4092362 4274824 5343530 6138543 6412236 8015295 8184724 8549648 10230905 10687060 12277086 12824472 16030590 16369448 20461810 21374120 24554172 25648944 30692715 32061180 32738896 40923620 42748240 49108344 61385430 64122360 81847240 83893421 98216688 122770860 128244720 163694480 167786842 245541720 251680263 335573684 419467105 491083440 503360526 671147368 838934210 1006721052 1258401315 1342294736 1677868420 2013442104 2516802630 3355736840 4026884208 5033605260 6711473680 10067210520 20134421040