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23032001333440 = 2651144983145459
BaseRepresentation
bin1010011110010100011100…
…10000100000100011000000
310000112211121202212221211201
411033022032100200203000
511004324014320132230
6120552431053150544
74565002315102141
oct517121620404300
9100484552787751
1023032001333440
11737a8a9345220
1226bb90a78b454
13cb0ba69cbca8
14598a7d2c3ac8
1529e1adc7b5ca
hex14f28e4208c0

23032001333440 has 112 divisors (see below), whose sum is σ = 59832599420160. Its totient is φ = 8375029447680.

The previous prime is 23032001333417. The next prime is 23032001333459. The reversal of 23032001333440 is 4433310023032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23032001333399 and 23032001333408.

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, 158267431 + ... + 158412889.

It is an arithmetic number, because the mean of its divisors is an integer number (534219637680).

Almost surely, 223032001333440 is an apocalyptic number.

23032001333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23032001333440 is an abundant number, since it is smaller than the sum of its proper divisors (36800598086720).

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

23032001333440 is a wasteful number, since it uses less digits than its factorization.

23032001333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190470 (or 190460 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 23032001333440 its reverse (4433310023032), we get a palindrome (27465311356472).

The spelling of 23032001333440 in words is "twenty-three trillion, thirty-two billion, one million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 44983 89966 145459 179932 224915 290918 359864 449830 494813 581836 719728 727295 899660 989626 1163672 1439456 1454590 1600049 1799320 1979252 2327344 2474065 2878912 2909180 3200098 3598640 3958504 4654688 4948130 5818360 6400196 7197280 7917008 8000245 9309376 9896260 11636720 12800392 14394560 15834016 16000490 19792520 23273440 25600784 31668032 32000980 39585040 46546880 51201568 64001960 79170080 102403136 128003920 158340160 256007840 512015680 6543182197 13086364394 26172728788 32715910985 52345457576 65431821970 71975004167 104690915152 130863643940 143950008334 209381830304 261727287880 287900016668 359875020835 418763660608 523454575760 575800033336 719750041670 1046909151520 1151600066672 1439500083340 2093818303040 2303200133344 2879000166680 4606400266688 5758000333360 11516000666720 23032001333440