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23442233232032 = 2537449242318199
BaseRepresentation
bin1010101010010000100011…
…11111000000101010100000
310002000001111112120122000122
411111020101333000222200
511033034143201411112
6121505114022335412
74636434251516246
oct525102177005240
9102001445518018
1023442233232032
11751888258145a
12276731858a568
13101079309cca4
145b0878332796
152a9bbda8d872
hex155211fc0aa0

23442233232032 has 96 divisors (see below), whose sum is σ = 47527028640000. Its totient is φ = 11373609074688.

The previous prime is 23442233231981. The next prime is 23442233232037. The reversal of 23442233232032 is 23023233224432.

It is a junction number, because it is equal to n+sod(n) for n = 23442233231983 and 23442233232001.

It is not an unprimeable number, because it can be changed into a prime (23442233232037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288096469 + ... + 1288114667.

It is an arithmetic number, because the mean of its divisors is an integer number (495073215000).

Almost surely, 223442233232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23442233232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23763514320000).

23442233232032 is an abundant number, since it is smaller than the sum of its proper divisors (24084795407968).

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

23442233232032 is a wasteful number, since it uses less digits than its factorization.

23442233232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21118 (or 21110 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 23442233232032 its reverse (23023233224432), we get a palindrome (46465466456464).

The spelling of 23442233232032 in words is "twenty-three trillion, four hundred forty-two billion, two hundred thirty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 449 592 898 1184 1796 2423 3592 4846 7184 9692 14368 16613 18199 19384 33226 36398 38768 66452 72796 77536 89651 132904 145592 179302 265808 291184 358604 531616 582368 673363 717208 1087927 1346726 1434416 2175854 2693452 2868832 4351708 5386904 8171351 8703416 10773808 16342702 17406832 21547616 32685404 34813664 40253299 44096177 65370808 80506598 88192354 130741616 161013196 176384708 261483232 302339987 322026392 352769416 604679974 644052784 705538832 1209359948 1288105568 1411077664 1631558549 2418719896 3263117098 4837439792 6526234196 9674879584 13052468392 19799183473 26104936784 39598366946 52209873568 79196733892 158393467784 316786935568 633573871136 732569788501 1465139577002 2930279154004 5860558308008 11721116616016 23442233232032