Search a number
-
+
10144343550 = 23521122919273
BaseRepresentation
bin10010111001010011…
…00110010111111110
3222011222101001020210
421130221212113332
5131233422443200
64354340253250
7506246332425
oct113451462776
928158331223
1010144343550
114336243500
121b713a1226
13c58888863
146c33b82bc
153e58c1650
hex25ca665fe

10144343550 has 144 divisors (see below), whose sum is σ = 28608012720. Its totient is φ = 2374310400.

The previous prime is 10144343549. The next prime is 10144343597. The reversal of 10144343550 is 5534344101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 516714 + ... + 535986.

It is an arithmetic number, because the mean of its divisors is an integer number (198666755).

Almost surely, 210144343550 is an apocalyptic number.

10144343550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144343550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14304006360).

10144343550 is an abundant number, since it is smaller than the sum of its proper divisors (18463669170).

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

10144343550 is a wasteful number, since it uses less digits than its factorization.

10144343550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339 (or 19323 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10144343550 its reverse (5534344101), we get a palindrome (15678687651).

The spelling of 10144343550 in words is "ten billion, one hundred forty-four million, three hundred forty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 121 145 150 165 174 242 275 290 319 330 363 435 550 605 638 725 726 825 870 957 1210 1450 1595 1650 1815 1914 2175 3025 3190 3509 3630 4350 4785 6050 7018 7975 9075 9570 10527 15950 17545 18150 19273 21054 23925 35090 38546 47850 52635 57819 87725 96365 105270 115638 175450 192730 212003 263175 289095 424006 481825 526350 558917 578190 636009 963650 1060015 1117834 1272018 1445475 1676751 2120030 2332033 2794585 2890950 3180045 3353502 4664066 5300075 5589170 6148087 6360090 6996099 8383755 10600150 11660165 12296174 13972925 13992198 15900225 16767510 18444261 23320330 27945850 30740435 31800450 34980495 36888522 41918775 58300825 61480870 67628957 69960990 83837550 92221305 116601650 135257914 153702175 174902475 184442610 202886871 307404350 338144785 349804950 405773742 461106525 676289570 922213050 1014434355 1690723925 2028868710 3381447850 5072171775 10144343550