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23422102144 = 27741727877
BaseRepresentation
bin10101110100000100…
…001110101010000000
32020110022211001212121
4111310010032222000
5340432024232034
614432052534024
71456264404040
oct256404165200
966408731777
1023422102144
119a2a191011
124658021314
13229366b94c
1411c29a7720
159213dc1b4
hex57410ea80

23422102144 has 128 divisors (see below), whose sum is σ = 54765285120. Its totient is φ = 9768591360.

The previous prime is 23422102129. The next prime is 23422102147. The reversal of 23422102144 is 44120122432.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (23422102147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26706634 + ... + 26707510.

It is an arithmetic number, because the mean of its divisors is an integer number (427853790).

Almost surely, 223422102144 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 23422102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27382642560).

23422102144 is an abundant number, since it is smaller than the sum of its proper divisors (31343182976).

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

23422102144 is an equidigital number, since it uses as much as digits as its factorization.

23422102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23422102144 its reverse (44120122432), we get a palindrome (67542224576).

The spelling of 23422102144 in words is "twenty-three billion, four hundred twenty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 727 877 896 1148 1312 1454 1754 2296 2624 2908 3508 4592 5089 5248 5816 6139 7016 9184 10178 11632 12278 14032 18368 20356 23264 24556 28064 29807 35957 36736 40712 46528 49112 56128 59614 71914 81424 93056 98224 112256 119228 143828 162848 196448 208649 238456 251699 287656 325696 392896 417298 476912 503398 575312 637579 651392 785792 834596 953824 1006796 1150624 1275158 1669192 1907648 2013592 2301248 2550316 3338384 3815296 4027184 4463053 4602496 5100632 6676768 8054368 8926106 10201264 13353536 16108736 17852212 20402528 26140739 26707072 32217472 35704424 40805056 52281478 71408848 81610112 104562956 142817696 182985173 209125912 285635392 365970346 418251824 571270784 731940692 836503648 1463881384 1673007296 2927762768 3346014592 5855525536 11711051072 23422102144