Search a number
-
+
10144739220 = 22357112199621
BaseRepresentation
bin10010111001010110…
…00110111110010100
3222012000010011000020
421130223012332110
5131234023123340
64354352545140
7506252601120
oct113453067624
928160104006
1010144739220
114336493800
121b715521b0
13c58996995
146c347c580
153e594d9d0
hex25cac6f94

10144739220 has 144 divisors (see below), whose sum is σ = 35682831744. Its totient is φ = 2107987200.

The previous prime is 10144739201. The next prime is 10144739249. The reversal of 10144739220 is 2293744101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48991 + ... + 150630.

Almost surely, 210144739220 is an apocalyptic number.

10144739220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144739220 is an abundant number, since it is smaller than the sum of its proper divisors (25538092524).

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

10144739220 is a wasteful number, since it uses less digits than its factorization.

10144739220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199662 (or 199649 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10144739220 in words is "ten billion, one hundred forty-four million, seven hundred thirty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2420 2541 3388 3630 4235 4620 5082 7260 8470 10164 12705 16940 25410 50820 199621 399242 598863 798484 998105 1197726 1397347 1996210 2195831 2395452 2794694 2994315 3992420 4192041 4391662 5589388 5988630 6587493 6986735 8384082 8783324 10979155 11977260 13174986 13973470 15370817 16768164 20960205 21958310 24154141 26349972 27946940 30741634 32937465 41920410 43916620 46112451 48308282 61483268 65874930 72462423 76854085 83840820 92224902 96616564 120770705 131749860 144924846 153708170 169078987 184449804 230562255 241541410 289849692 307416340 338157974 362312115 461124510 483082820 507236961 676315948 724624230 845394935 922249020 1014473922 1449248460 1690789870 2028947844 2536184805 3381579740 5072369610 10144739220