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144397381121056 = 2574157601272959
BaseRepresentation
bin100000110101010000100010…
…100110111011010000100000
3200221021020212202121202222201
4200311100202212323100200
5122411301314031333211
61231035124025342544
742262236500062510
oct4065204246732040
9627236782552881
10144397381121056
1142011649235748
121424121a937a54
1362757cb3c444b
142792c28a75840
1511a6191ed10c1
hex8354229bb420

144397381121056 has 96 divisors (see below), whose sum is σ = 332825351362560. Its totient is φ = 60373942272000.

The previous prime is 144397381121047. The next prime is 144397381121083. The reversal of 144397381121056 is 650121183793441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144397381120988 and 144397381121006.

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, 528871105 + ... + 529144063.

It is an arithmetic number, because the mean of its divisors is an integer number (3466930743360).

It is a 1-persistent number, because it is pandigital, but 2⋅144397381121056 = 288794762242112 is not.

Almost surely, 2144397381121056 is an apocalyptic number.

144397381121056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144397381121056 is an abundant number, since it is smaller than the sum of its proper divisors (188427970241504).

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

144397381121056 is a wasteful number, since it uses less digits than its factorization.

144397381121056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330618 (or 330610 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 144397381121056 in words is "one hundred forty-four trillion, three hundred ninety-seven billion, three hundred eighty-one million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 57601 115202 230404 272959 403207 460808 545918 806414 921616 1091836 1612828 1843232 1910713 2183672 2361641 3225656 3821426 4367344 4723282 6451312 7642852 8734688 9446564 11191319 12902624 15285704 16531487 18893128 22382638 30571408 33062974 37786256 44765276 61142816 66125948 75572512 78339233 89530552 132251896 156678466 179061104 264503792 313356932 358122208 529007584 626713864 1253427728 2506855456 15722711359 31445422718 62890845436 110058979513 125781690872 220117959026 251563381744 440235918052 503126763488 644631165719 880471836104 1289262331438 1760943672208 2578524662876 3521887344416 4512418160033 5157049325752 9024836320066 10314098651504 18049672640132 20628197303008 36099345280264 72198690560528 144397381121056