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54283408144 = 24725321572
BaseRepresentation
bin110010100011100010…
…110001001100010000
312012010002210211221221
4302203202301030100
51342133023030034
640534253454424
73631123233100
oct624342611420
9165102724857
1054283408144
1121026628a89
12a62b4a1414
135171300164
1428ad579200
15162a94cbb4
hexca38b1310

54283408144 has 135 divisors (see below), whose sum is σ = 125496653247. Its totient is φ = 22679983872.

The previous prime is 54283408141. The next prime is 54283408181. The reversal of 54283408144 is 44180438245.

The square root of 54283408144 is 232988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 54270361600 = 3612^2 + 232960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54283408144.

It is not an unprimeable number, because it can be changed into a prime (54283408141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 345754114 + ... + 345754270.

Almost surely, 254283408144 is an apocalyptic number.

54283408144 is the 232988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54283408144

54283408144 is an abundant number, since it is smaller than the sum of its proper divisors (71213245103).

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

54283408144 is an equidigital number, since it uses as much as digits as its factorization.

54283408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 54283408144 in words is "fifty-four billion, two hundred eighty-three million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 157 196 212 314 371 392 424 628 742 784 848 1099 1256 1484 2198 2512 2597 2809 2968 4396 5194 5618 5936 7693 8321 8792 10388 11236 15386 16642 17584 19663 20776 22472 24649 30772 33284 39326 41552 44944 49298 58247 61544 66568 78652 98596 116494 123088 133136 137641 157304 172543 197192 232988 275282 314608 345086 394384 407729 441013 465976 550564 690172 815458 882026 931952 1101128 1207801 1306397 1380344 1630916 1764052 2202256 2415602 2612794 2760688 3087091 3261832 3528104 4831204 5225588 6174182 6523664 7056208 9144779 9662408 10451176 12348364 18289558 19324816 20902352 21609637 24696728 36579116 43219274 49393456 64013453 69239041 73158232 86438548 128026906 138478082 146316464 172877096 256053812 276956164 345754192 484673287 512107624 553912328 969346574 1024215248 1107824656 1938693148 3392713009 3877386296 6785426018 7754772592 13570852036 27141704072 54283408144