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20231522414000 = 2453531163164113
BaseRepresentation
bin1001001100110100001001…
…01101001110110110110000
32122122010002120201201220222
410212122010231032312300
510122433124214222000
6111010122202552212
74155451662044342
oct446320455166660
978563076651828
1020231522414000
1164a015aa71457
122329007b08668
13b39a94207391
144dd2d4a43292
15251405909a85
hex126684b4edb0

20231522414000 has 160 divisors (see below), whose sum is σ = 49885997788224. Its totient is φ = 7933042790400.

The previous prime is 20231522413939. The next prime is 20231522414011. The reversal of 20231522414000 is 41422513202.

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, 123195944 + ... + 123360056.

Almost surely, 220231522414000 is an apocalyptic number.

20231522414000 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 20231522414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24942998894112).

20231522414000 is an abundant number, since it is smaller than the sum of its proper divisors (29654475374224).

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

20231522414000 is a wasteful number, since it uses less digits than its factorization.

20231522414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165352 (or 165336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 20231522414000 its reverse (41422513202), we get a palindrome (20272944927202).

The spelling of 20231522414000 in words is "twenty trillion, two hundred thirty-one billion, five hundred twenty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1163 1325 2000 2120 2326 2650 4240 4652 5300 5815 6625 9304 10600 11630 13250 18608 21200 23260 26500 29075 46520 53000 58150 61639 93040 106000 116300 123278 145375 164113 232600 246556 290750 308195 328226 465200 493112 581500 616390 656452 820565 986224 1163000 1232780 1312904 1540975 1641130 2326000 2465560 2625808 3081950 3282260 4102825 4931120 6163900 6564520 7704875 8205650 8697989 12327800 13129040 15409750 16411300 17395978 20514125 24655600 30819500 32822600 34791956 41028250 43489945 61639000 65645200 69583912 82056500 86979890 123278000 139167824 164113000 173959780 190863419 217449725 328226000 347919560 381726838 434899450 695839120 763453676 869798900 954317095 1087248625 1526907352 1739597800 1908634190 2174497250 3053814704 3479195600 3817268380 4348994500 4771585475 7634536760 8697989000 9543170950 10115761207 15269073520 17395978000 19086341900 20231522414 23857927375 38172683800 40463044828 47715854750 50578806035 76345367600 80926089656 95431709500 101157612070 161852179312 190863419000 202315224140 252894030175 381726838000 404630448280 505788060350 809260896560 1011576120700 1264470150875 2023152241400 2528940301750 4046304482800 5057880603500 10115761207000 20231522414000