Search a number
-
+
54721300440 = 233531315307
BaseRepresentation
bin110010111101101001…
…001100011111011000
312020020121210002021010
4302331221030133120
51344032123103230
641045535213520
73645021244032
oct627551143730
9166217702233
1054721300440
1121230824a44
12a7320772a0
135210c4ab21
1429117a4c52
1516540e89b0
hexcbda4c7d8

54721300440 has 128 divisors (see below), whose sum is σ = 169646929920. Its totient is φ = 14120703360.

The previous prime is 54721300427. The next prime is 54721300441. The reversal of 54721300440 is 4400312745.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54721300398 and 54721300407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54721300441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3567267 + ... + 3582573.

It is an arithmetic number, because the mean of its divisors is an integer number (1325366640).

Almost surely, 254721300440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54721300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823464960).

54721300440 is an abundant number, since it is smaller than the sum of its proper divisors (114925629480).

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

54721300440 is a wasteful number, since it uses less digits than its factorization.

54721300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 54721300440 in words is "fifty-four billion, seven hundred twenty-one million, three hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 961 1240 1860 1922 2883 3720 3844 4805 5766 7688 9610 11532 14415 15307 19220 23064 28830 29791 30614 38440 45921 57660 59582 61228 76535 89373 91842 115320 119164 122456 148955 153070 178746 183684 229605 238328 297910 306140 357492 367368 446865 459210 474517 595820 612280 714984 893730 918420 949034 1191640 1423551 1787460 1836840 1898068 2372585 2847102 3574920 3796136 4745170 5694204 7117755 9490340 11388408 14235510 14710027 18980680 28471020 29420054 44130081 56942040 58840108 73550135 88260162 117680216 147100270 176520324 220650405 294200540 353040648 441300810 456010837 588401080 882601620 912021674 1368032511 1765203240 1824043348 2280054185 2736065022 3648086696 4560108370 5472130044 6840162555 9120216740 10944260088 13680325110 18240433480 27360650220 54721300440