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144103310031120 = 243511192872873007
BaseRepresentation
bin100000110000111110101010…
…100110101111100100010000
3200220020010211102222120212020
4200300332222212233210100
5122341442034331443440
61230252051405331440
742232056234052206
oct4060765246574420
9626203742876766
10144103310031120
1141a08963824320
12141b422ab66b80
136253b64a0095b
1427828cd119076
15119d6d00b63d0
hex830faa9af910

144103310031120 has 160 divisors (see below), whose sum is σ = 512980204308480. Its totient is φ = 33095497029120.

The previous prime is 144103310031053. The next prime is 144103310031127. The reversal of 144103310031120 is 21130013301441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144103310031127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436386344 + ... + 1436486663.

It is an arithmetic number, because the mean of its divisors is an integer number (3206126276928).

Almost surely, 2144103310031120 is an apocalyptic number.

144103310031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144103310031120 is an abundant number, since it is smaller than the sum of its proper divisors (368876894277360).

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

144103310031120 is a wasteful number, since it uses less digits than its factorization.

144103310031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872873053 (or 2872873047 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 144103310031120 its reverse (21130013301441), we get a palindrome (165233323332561).

The spelling of 144103310031120 in words is "one hundred forty-four trillion, one hundred three billion, three hundred ten million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 2872873007 5745746014 8618619021 11491492028 14364365035 17237238042 22982984056 28728730070 31601603077 34474476084 43093095105 45965968112 54584587133 57457460140 63203206154 68948952168 86186190210 94804809231 109169174266 114914920280 126406412308 137897904336 158008015385 163753761399 172372380420 189609618462 218338348532 229829840560 252812824616 272922935665 316016030770 327507522798 344744760840 379219236924 436676697064 474024046155 505625649232 545845871330 600430458463 632032061540 655015045596 689489521680 758438473848 818768806995 873353394128 948048092310 1091691742660 1200860916926 1264064123080 1310030091192 1516876947696 1637537613990 1801291375389 1896096184620 2183383485320 2401721833852 2528128246160 2620060182384 3002152292315 3275075227980 3602582750778 3792192369240 4366766970640 4803443667704 6004304584630 6550150455960 7205165501556 7584384738480 9006456876945 9606887335408 12008609169260 13100300911920 14410331003112 18012913753890 24017218338520 28820662006224 36025827507780 48034436677040 72051655015560 144103310031120