Search a number
-
+
144013451060 = 22547837272539
BaseRepresentation
bin1000011000011111011…
…1101101111100110100
3111202201112201022120202
42012013313231330310
54324414420413220
6150054152020032
713255534064543
oct2060767557464
9452645638522
10144013451060
1156091925346
1223ab1991618
1310771212ccb
146d8268415a
153b2d252275
hex2187dedf34

144013451060 has 96 divisors (see below), whose sum is σ = 313137377280. Its totient is φ = 55601935488.

The previous prime is 144013451033. The next prime is 144013451093. The reversal of 144013451060 is 60154310441.

It is a super-2 number, since 2×1440134510602 (a number of 23 digits) contains 22 as substring.

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, 56719271 + ... + 56721809.

It is an arithmetic number, because the mean of its divisors is an integer number (3261847680).

Almost surely, 2144013451060 is an apocalyptic number.

144013451060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144013451060 is an abundant number, since it is smaller than the sum of its proper divisors (169123926220).

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

144013451060 is a wasteful number, since it uses less digits than its factorization.

144013451060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 144013451060 in words is "one hundred forty-four billion, thirteen million, four hundred fifty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 47 83 94 166 188 235 332 415 470 727 830 940 1454 1660 2539 2908 3635 3901 5078 7270 7802 10156 12695 14540 15604 19505 25390 34169 39010 50780 60341 68338 78020 119333 120682 136676 170845 210737 238666 241364 301705 341690 421474 477332 596665 603410 683380 842948 1053685 1193330 1206820 1845853 2107370 2386660 2836027 3691706 4214740 5672054 7383412 9229265 9904639 11344108 14180135 18458530 19809278 28360270 36917060 39618556 49523195 56720540 86755091 99046390 153205799 173510182 198092780 306411598 347020364 433775455 612823196 766028995 867550910 1532057990 1735101820 3064115980 7200672553 14401345106 28802690212 36003362765 72006725530 144013451060