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23444030411040 = 2535291684197587
BaseRepresentation
bin1010101010010011111010…
…00110101101000100100000
310002000020010210021210011010
411111021331012231010200
511033101333241123130
6121510012222220520
74636526633344221
oct525117506550440
9102006123253133
1023444030411040
117519614a89668
12276773a424740
1310109bb513015
145b09a8cb3248
152a9c7673b0b0
hex15527d1ad120

23444030411040 has 96 divisors (see below), whose sum is σ = 76395202591680. Its totient is φ = 6036164148224.

The previous prime is 23444030410981. The next prime is 23444030411063. The reversal of 23444030411040 is 4011403044432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23444030410989 and 23444030411007.

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, 842084874 + ... + 842112713.

It is an arithmetic number, because the mean of its divisors is an integer number (795783360330).

Almost surely, 223444030411040 is an apocalyptic number.

23444030411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23444030411040 is an abundant number, since it is smaller than the sum of its proper divisors (52951172180640).

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

23444030411040 is a wasteful number, since it uses less digits than its factorization.

23444030411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684197634 (or 1684197626 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 23444030411040 its reverse (4011403044432), we get a palindrome (27455433455472).

The spelling of 23444030411040 in words is "twenty-three trillion, four hundred forty-four billion, thirty million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 1684197587 3368395174 5052592761 6736790348 8420987935 10105185522 13473580696 16841975870 20210371044 25262963805 26947161392 33683951740 40420742088 48841730023 50525927610 53894322784 67367903480 80841484176 97683460046 101051855220 134735806960 146525190069 161682968352 195366920092 202103710440 244208650115 269471613920 293050380138 390733840184 404207420880 488417300230 586100760276 732625950345 781467680368 808414841760 976834600460 1172201520552 1465251900690 1562935360736 1953669200920 2344403041104 2930503801380 3907338401840 4688806082208 5861007602760 7814676803680 11722015205520 23444030411040