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640945350240 = 253513102715601
BaseRepresentation
bin10010101001110110101…
…00011110011001100000
32021021101120202100201120
421110323110132121200
541000124002201430
61210240215132240
764210136404656
oct11247324363140
92237346670646
10640945350240
11227906a39228
12a4277374080
13485968242c0
1423044214dd6
1511a1483d610
hex953b51e660

640945350240 has 96 divisors (see below), whose sum is σ = 2174283863136. Its totient is φ = 157771161600.

The previous prime is 640945350127. The next prime is 640945350259. The reversal of 640945350240 is 42053549046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 640945350192 and 640945350201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51351561 + ... + 51364040.

It is an arithmetic number, because the mean of its divisors is an integer number (22648790241).

Almost surely, 2640945350240 is an apocalyptic number.

640945350240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640945350240 is an abundant number, since it is smaller than the sum of its proper divisors (1533338512896).

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

640945350240 is a wasteful number, since it uses less digits than its factorization.

640945350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102715632 (or 102715624 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 640945350240 its reverse (42053549046), we get a palindrome (682998899286).

The spelling of 640945350240 in words is "six hundred forty billion, nine hundred forty-five million, three hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 102715601 205431202 308146803 410862404 513578005 616293606 821724808 1027156010 1232587212 1335302813 1540734015 1643449616 2054312020 2465174424 2670605626 3081468030 3286899232 4005908439 4108624040 4930348848 5341211252 6162936060 6676514065 8011816878 8217248080 9860697696 10682422504 12325872120 13353028130 16023633756 16434496160 20029542195 21364845008 24651744240 26706056260 32047267512 40059084390 42729690016 49303488480 53412112520 64094535024 80118168780 106824225040 128189070048 160236337560 213648450080 320472675120 640945350240