Search a number
-
+
121535552240 = 2454318094357
BaseRepresentation
bin111000100110000010…
…1010101101011110000
3102121201000120202011122
41301030011111223300
53442401100132430
6131455504401412
711531523102044
oct1611405255360
9377630522148
10121535552240
11475a7718263
121b67a016268
13b5cb37686b
145c4d262024
153264bc3ee5
hex1c4c155af0

121535552240 has 80 divisors (see below), whose sum is σ = 283640952960. Its totient is φ = 48430356480.

The previous prime is 121535552233. The next prime is 121535552311. The reversal of 121535552240 is 42255535121.

It is a happy number.

121535552240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 121535552240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27892142 + ... + 27896498.

It is an arithmetic number, because the mean of its divisors is an integer number (3545511912).

Almost surely, 2121535552240 is an apocalyptic number.

121535552240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121535552240 is an abundant number, since it is smaller than the sum of its proper divisors (162105400720).

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

121535552240 is a wasteful number, since it uses less digits than its factorization.

121535552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 121535552240 in words is "one hundred twenty-one billion, five hundred thirty-five million, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431 809 862 1618 1724 2155 3236 3448 4045 4310 4357 6472 6896 8090 8620 8714 12944 16180 17240 17428 21785 32360 34480 34856 43570 64720 69712 87140 174280 348560 348679 697358 1394716 1743395 1877867 2789432 3486790 3524813 3755734 5578864 6973580 7049626 7511468 9389335 13947160 14099252 15022936 17624065 18778670 27894320 28198504 30045872 35248130 37557340 56397008 70496260 75114680 140992520 150229360 281985040 1519194403 3038388806 6076777612 7595972015 12153555224 15191944030 24307110448 30383888060 60767776120 121535552240