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144454224320 = 2657224328751
BaseRepresentation
bin1000011010001000100…
…1001000100111000000
3111210212021002220211022
42012202021020213000
54331320240134240
6150210015205012
713302465435020
oct2064211104700
9453767086738
10144454224320
115629870986a
1223bb5516768
131081162c0a3
146dc501da80
153b56cbb9b5
hex21a22489c0

144454224320 has 112 divisors (see below), whose sum is σ = 393310798848. Its totient is φ = 49503360000.

The previous prime is 144454224319. The next prime is 144454224329. The reversal of 144454224320 is 23422454441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144454224329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5009945 + ... + 5038695.

Almost surely, 2144454224320 is an apocalyptic number.

144454224320 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 144454224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196655399424).

144454224320 is an abundant number, since it is smaller than the sum of its proper divisors (248856574528).

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

144454224320 is a wasteful number, since it uses less digits than its factorization.

144454224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31018 (or 31008 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 144454224320 its reverse (23422454441), we get a palindrome (167876678761).

The spelling of 144454224320 in words is "one hundred forty-four billion, four hundred fifty-four million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2243 4486 8972 11215 15701 17944 22430 28751 31402 35888 44860 57502 62804 71776 78505 89720 115004 125608 143552 143755 157010 179440 201257 230008 251216 287510 314020 358880 402514 460016 502432 575020 628040 717760 805028 920032 1004864 1006285 1150040 1256080 1610056 1840064 2012570 2300080 2512160 3220112 4025140 4600160 5024320 6440224 8050280 9200320 12880448 16100560 32201120 64402240 64488493 128976986 257953972 322442465 451419451 515907944 644884930 902838902 1031815888 1289769860 1805677804 2063631776 2257097255 2579539720 3611355608 4127263552 4514194510 5159079440 7222711216 9028389020 10318158880 14445422432 18056778040 20636317760 28890844864 36113556080 72227112160 144454224320