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553305345312240 = 2435528462209121
BaseRepresentation
bin111110111001110100111000…
…0100011110100010111110000
32200120002110210212002012200000
41331303221300203310113300
51040010323321344442430
65240440544440230000
7224354664155234253
oct17563516043642760
92616073725065600
10553305345312240
1115033352a874054
125208234876b300
131a997615ca85c1
149a8c19b96b09a
1543e7b1d876e60
hex1f73a708f45f0

553305345312240 has 120 divisors (see below), whose sum is σ = 1927005406395888. Its totient is φ = 147548092078080.

The previous prime is 553305345312229. The next prime is 553305345312241. The reversal of 553305345312240 is 42213543503355.

553305345312240 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 0 + 53 + 4 + 531 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5533053453122402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553305345312241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14231085121 + ... + 14231124000.

Almost surely, 2553305345312240 is an apocalyptic number.

It is an amenable number.

553305345312240 is an abundant number, since it is smaller than the sum of its proper divisors (1373700061083648).

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

553305345312240 is a wasteful number, since it uses less digits than its factorization.

553305345312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28462209149 (or 28462209131 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 45.

Adding to 553305345312240 its reverse (42213543503355), we get a palindrome (595518888815595).

The spelling of 553305345312240 in words is "five hundred fifty-three trillion, three hundred five billion, three hundred forty-five million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 28462209121 56924418242 85386627363 113848836484 142311045605 170773254726 227697672968 256159882089 284622091210 341546509452 426933136815 455395345936 512319764178 569244182420 683093018904 768479646267 853866273630 1024639528356 1138488364840 1280799410445 1366186037808 1536959292534 1707732547260 2049279056712 2276976729680 2305438938801 2561598820890 3073918585068 3415465094520 3842398231335 4098558113424 4610877877602 5123197641780 6147837170136 6830930189040 6916316816403 7684796462670 9221755755204 10246395283560 11527194694005 12295674340272 13832633632806 15369592925340 18443511510408 20492790567120 23054389388010 27665267265612 30739185850680 34581584082015 36887023020816 46108778776020 55330534531224 61478371701360 69163168164030 92217557552040 110661069062448 138326336328060 184435115104080 276652672656120 553305345312240