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24101000144 = 24131078211319
BaseRepresentation
bin10110011100100010…
…000001001111010000
32022012122021122211222
4112130202001033100
5343324324001034
615023304024212
71512150056354
oct263442011720
968178248758
1024101000144
11a248428141
124807462068
132371200140
141248c0b464
15960ce212e
hex59c8813d0

24101000144 has 80 divisors (see below), whose sum is σ = 50857994880. Its totient is φ = 10997813760.

The previous prime is 24101000141. The next prime is 24101000149. The reversal of 24101000144 is 44100010142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24101000141) 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, 18271517 + ... + 18272835.

It is an arithmetic number, because the mean of its divisors is an integer number (635724936).

Almost surely, 224101000144 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 24101000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428997440).

24101000144 is an abundant number, since it is smaller than the sum of its proper divisors (26756994736).

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

24101000144 is a wasteful number, since it uses less digits than its factorization.

24101000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 24101000144 its reverse (44100010142), we get a palindrome (68201010286).

The spelling of 24101000144 in words is "twenty-four billion, one hundred one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 821 856 1319 1391 1642 1712 2638 2782 3284 5276 5564 6568 10552 10673 11128 13136 17147 21104 21346 22256 34294 42692 68588 85384 87847 137176 141133 170768 175694 274352 282266 351388 564532 702776 1082899 1129064 1142011 1405552 1834729 2165798 2258128 2284022 3669458 4331596 4568044 7338916 8663192 9136088 14077687 14677832 17326384 18272176 28155374 29355664 56310748 112621496 115870193 225242992 231740386 463480772 926961544 1506312509 1853923088 3012625018 6025250036 12050500072 24101000144