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144370103456 = 2537791918081
BaseRepresentation
bin1000011001110100100…
…0001111010010100000
3111210122101211010200202
42012131020033102200
54331132221302311
6150153412204332
713300424426465
oct2063510172240
9453571733622
10144370103456
1156255183597
1223b913096a8
13107ca088127
146db7ba366c
153b4e701e3b
hex219d20f4a0

144370103456 has 96 divisors (see below), whose sum is σ = 297190010880. Its totient is φ = 68973465600.

The previous prime is 144370103417. The next prime is 144370103467. The reversal of 144370103456 is 654301073441.

It is a super-2 number, since 2×1443701034562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17861336 + ... + 17869416.

It is an arithmetic number, because the mean of its divisors is an integer number (3095729280).

Almost surely, 2144370103456 is an apocalyptic number.

144370103456 is a gapful number since it is divisible by the number (16) 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 144370103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148595005440).

144370103456 is an abundant number, since it is smaller than the sum of its proper divisors (152819907424).

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

144370103456 is a wasteful number, since it uses less digits than its factorization.

144370103456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 144370103456 its reverse (654301073441), we get a palindrome (798671176897).

The spelling of 144370103456 in words is "one hundred forty-four billion, three hundred seventy million, one hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 79 148 158 191 296 316 382 592 632 764 1184 1264 1528 2528 2923 3056 5846 6112 7067 8081 11692 14134 15089 16162 23384 28268 30178 32324 46768 56536 60356 64648 93536 113072 120712 129296 226144 241424 258592 298997 482848 558293 597994 638399 1116586 1195988 1276798 1543471 2233172 2391976 2553596 3086942 4466344 4783952 5107192 6173884 8932688 9567904 10214384 12347768 17865376 20428768 23620763 24695536 47241526 49391072 57108427 94483052 114216854 121934209 188966104 228433708 243868418 377932208 456867416 487736836 755864416 913734832 975473672 1827469664 1950947344 3901894688 4511565733 9023131466 18046262932 36092525864 72185051728 144370103456