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144911148980 = 225132376611753
BaseRepresentation
bin1000011011110101100…
…0001010011110110100
3111212001002220002121212
42012331120022132310
54333234223231410
6150323220500552
713320014304623
oct2067530123664
9455032802555
10144911148980
1156502625054
122410254a758
13108851b1900
1470299a16ba
153b81e76b05
hex21bd60a7b4

144911148980 has 144 divisors (see below), whose sum is σ = 339134174064. Its totient is φ = 51951144960.

The previous prime is 144911148953. The next prime is 144911149007. The reversal of 144911148980 is 89841119441.

144911148980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144911148953) and next prime (144911149007).

It can be written as a sum of positive squares in 24 ways, for example, as 122895118096 + 22016030884 = 350564^2 + 148378^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82663784 + ... + 82665536.

It is an arithmetic number, because the mean of its divisors is an integer number (2355098431).

Almost surely, 2144911148980 is an apocalyptic number.

144911148980 is a gapful number since it is divisible by the number (10) 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 144911148980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169567087032).

144911148980 is an abundant number, since it is smaller than the sum of its proper divisors (194223025084).

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

144911148980 is a wasteful number, since it uses less digits than its factorization.

144911148980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 50.

The spelling of 144911148980 in words is "one hundred forty-four billion, nine hundred eleven million, one hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 661 676 740 845 962 1322 1690 1753 1924 2405 2644 3305 3380 3506 4810 6253 6610 7012 8593 8765 9620 12506 13220 17186 17530 22789 24457 25012 31265 34372 35060 42965 45578 48914 62530 64861 85930 91156 97828 111709 113945 122285 125060 129722 171860 223418 227890 244570 259444 296257 317941 324305 446836 455780 489140 558545 592514 635882 648610 843193 1117090 1158733 1185028 1271764 1297220 1481285 1589705 1686386 2234180 2317466 2962570 3179410 3372772 4133233 4215965 4634932 5793665 5925140 6358820 8266466 8431930 10961509 11587330 15063529 16532932 16863860 20666165 21923018 23174660 30127058 41332330 42873121 43846036 54807545 60254116 75317645 82664660 85746242 109615090 150635290 171492484 195825877 214365605 219230180 301270580 391651754 428731210 557350573 783303508 857462420 979129385 1114701146 1958258770 2229402292 2786752865 3916517540 5573505730 7245557449 11147011460 14491114898 28982229796 36227787245 72455574490 144911148980