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144011240004 = 223177119351517
BaseRepresentation
bin1000011000011110111…
…1010010001001000100
3111202201101112222120210
42012013233102021010
54324413334140004
6150054032355420
713255506225402
oct2060757221104
9452641488523
10144011240004
1156090655125
1223ab10a5b70
131077091a7a8
146d8226a472
153b2ce67089
hex2187bd2244

144011240004 has 96 divisors (see below), whose sum is σ = 362680125696. Its totient is φ = 44312002560.

The previous prime is 144011239997. The next prime is 144011240011. The reversal of 144011240004 is 400042110441.

It is an interprime number because it is at equal distance from previous prime (144011239997) and next prime (144011240011).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769654 + ... + 2821170.

It is an arithmetic number, because the mean of its divisors is an integer number (3777917976).

Almost surely, 2144011240004 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 144011240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181340062848).

144011240004 is an abundant number, since it is smaller than the sum of its proper divisors (218668885692).

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

144011240004 is a wasteful number, since it uses less digits than its factorization.

144011240004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51805 (or 51803 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 144011240004 its reverse (400042110441), we get a palindrome (544053350445).

The spelling of 144011240004 in words is "one hundred forty-four billion, eleven million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 193 204 213 284 386 426 579 772 852 1158 1207 2316 2414 3281 3621 4828 6562 7242 9843 13124 13703 14484 19686 27406 39372 41109 51517 54812 82218 103034 154551 164436 206068 232951 309102 465902 618204 698853 875789 931804 1397706 1751578 2627367 2795412 3503156 3657707 5254734 7315414 9942781 10509468 10973121 14630828 19885562 21946242 29828343 39771124 43892484 59656686 62181019 119313372 124362038 169027277 186543057 248724076 338054554 373086114 507081831 676109108 705937451 746172228 1014163662 1411874902 2028327324 2117812353 2823749804 4235624706 8471249412 12000936667 24001873334 36002810001 48003746668 72005620002 144011240004