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2144301531320 = 235136188776213
BaseRepresentation
bin11111001101000010010…
…101001100000010111000
321120222211001122011101002
4133031002111030002320
5240113012143000240
64321024543344132
7310630535166014
oct37150225140270
97528731564332
102144301531320
11757436349093
122a76b62b2048
1312728c360870
1475adb4c3544
153aba1686d15
hex1f34254c0b8

2144301531320 has 128 divisors (see below), whose sum is σ = 5287007859840. Its totient is φ = 777874544640.

The previous prime is 2144301531311. The next prime is 2144301531341. The reversal of 2144301531320 is 231351034412.

It is a congruent number.

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, 28097534 + ... + 28173746.

It is an arithmetic number, because the mean of its divisors is an integer number (41304748905).

Almost surely, 22144301531320 is an apocalyptic number.

2144301531320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144301531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643503929920).

2144301531320 is an abundant number, since it is smaller than the sum of its proper divisors (3142706328520).

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

2144301531320 is a wasteful number, since it uses less digits than its factorization.

2144301531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77185 (or 77181 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 2144301531320 its reverse (231351034412), we get a palindrome (2375652565732).

The spelling of 2144301531320 in words is "two trillion, one hundred forty-four billion, three hundred one million, five hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 887 1220 1586 1774 2440 3172 3548 3965 4435 6344 7096 7930 8870 11531 15860 17740 23062 31720 35480 46124 54107 57655 76213 92248 108214 115310 152426 216428 230620 270535 304852 381065 432856 461240 541070 609704 703391 762130 990769 1082140 1406782 1524260 1981538 2164280 2813564 3048520 3516955 3963076 4648993 4953845 5627128 7033910 7926152 9297986 9907690 14067820 18595972 19815380 23244965 28135640 37191944 39630760 46489930 60436909 67600931 92979860 120873818 135201862 185959720 241747636 270403724 302184545 338004655 483495272 540807448 604369090 676009310 878812103 1208738180 1352018620 1757624206 2417476360 2704037240 3515248412 4123656791 4394060515 7030496824 8247313582 8788121030 16494627164 17576242060 20618283955 32989254328 35152484120 41236567910 53607538283 82473135820 107215076566 164946271640 214430153132 268037691415 428860306264 536075382830 1072150765660 2144301531320