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20230414154320 = 2452953449366433
BaseRepresentation
bin1001001100110010000101…
…01001100011101001010000
32122122000020100100022110011
410212121002221203221100
510122423342010414240
6111005420213044304
74155412344020506
oct446310251435120
978560210308404
1020230414154320
11649a741425567
122328958926694
13b39948724016
144dd22b794676
1525138d4916ea
hex126642a63a50

20230414154320 has 160 divisors (see below), whose sum is σ = 49686251796000. Its totient is φ = 7648614285312.

The previous prime is 20230414154309. The next prime is 20230414154359. The reversal of 20230414154320 is 2345141403202.

It can be written as a sum of positive squares in 16 ways, for example, as 1201066948624 + 19029347205696 = 1095932^2 + 4362264^2 .

It is a super-2 number, since 2×202304141543202 (a number of 27 digits) contains 22 as substring.

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, 55025824 + ... + 55392256.

It is an arithmetic number, because the mean of its divisors is an integer number (310539073725).

Almost surely, 220230414154320 is an apocalyptic number.

20230414154320 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 20230414154320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24843125898000).

20230414154320 is an abundant number, since it is smaller than the sum of its proper divisors (29455837641680).

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

20230414154320 is a wasteful number, since it uses less digits than its factorization.

20230414154320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366977 (or 366971 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 20230414154320 its reverse (2345141403202), we get a palindrome (22575555557522).

The spelling of 20230414154320 in words is "twenty trillion, two hundred thirty billion, four hundred fourteen million, one hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 212 232 265 290 424 449 464 530 580 848 898 1060 1160 1537 1796 2120 2245 2320 3074 3592 4240 4490 6148 7184 7685 8980 12296 13021 15370 17960 23797 24592 26042 30740 35920 47594 52084 61480 65105 95188 104168 118985 122960 130210 190376 208336 237970 260420 366433 380752 475940 520840 690113 732866 951880 1041680 1380226 1465732 1832165 1903760 2760452 2931464 3450565 3664330 5520904 5862928 6901130 7328660 10626557 11041808 13802260 14657320 19420949 21253114 27604520 29314640 38841898 42506228 53132785 55209040 77683796 85012456 97104745 106265570 155367592 164528417 170024912 194209490 212531140 310735184 329056834 388418980 425062280 563207521 658113668 776837960 822642085 850124560 1126415042 1316227336 1553675920 1645284170 2252830084 2632454672 2816037605 3290568340 4505660168 4771324093 5632075210 6581136680 8720006101 9011320336 9542648186 11264150420 13162273360 17440012202 19085296372 22528300840 23856620465 34880024404 38170592744 43600030505 45056601680 47713240930 69760048808 76341185488 87200061010 95426481860 139520097616 174400122020 190852963720 252880176929 348800244040 381705927440 505760353858 697600488080 1011520707716 1264400884645 2023041415432 2528801769290 4046082830864 5057603538580 10115207077160 20230414154320