Search a number
-
+
1540225536750 = 23353517944059
BaseRepresentation
bin10110011010011100100…
…110001001001011101110
312110020120222002010111000
4112122130212021023232
5200213340214134000
63135323030341130
7216164140022625
oct26323446111356
95406528063430
101540225536750
1154422a18653a
1220a60a4ba7a6
13b2320124764
1454793b866bc
152a0e8a82000
hex1669c9892ee

1540225536750 has 128 divisors (see below), whose sum is σ = 4272480576000. Its totient is φ = 410638183200.

The previous prime is 1540225536719. The next prime is 1540225536769. The reversal of 1540225536750 is 576355220451.

It is a happy number.

1540225536750 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 22 + 553 + 6 + 75 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1540225536696 and 1540225536705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34936221 + ... + 34980279.

It is an arithmetic number, because the mean of its divisors is an integer number (33378754500).

Almost surely, 21540225536750 is an apocalyptic number.

1540225536750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540225536750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136240288000).

1540225536750 is an abundant number, since it is smaller than the sum of its proper divisors (2732255039250).

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

1540225536750 is a wasteful number, since it uses less digits than its factorization.

1540225536750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49264 (or 49248 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 1540225536750 in words is "one trillion, five hundred forty billion, two hundred twenty-five million, five hundred thirty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 3375 5179 6750 10358 15537 25895 31074 44059 46611 51790 77685 88118 93222 129475 132177 139833 155370 220295 233055 258950 264354 279666 388425 396531 440590 466110 647375 660885 699165 776850 793062 1101475 1165275 1189593 1294750 1321770 1398330 1942125 1982655 2202950 2330550 2379186 3304425 3495825 3884250 3965310 5507375 5826375 5947965 6608850 6991650 9913275 11014750 11652750 11895930 16522125 17479125 19826550 29739825 33044250 34958250 49566375 59479650 99132750 148699125 228181561 297398250 456363122 684544683 1140907805 1369089366 2053634049 2281815610 3422723415 4107268098 5704539025 6160902147 6845446830 10268170245 11409078050 12321804294 17113617075 20536340490 28522695125 30804510735 34227234150 51340851225 57045390250 61609021470 85568085375 102681702450 154022553675 171136170750 256704256125 308045107350 513408512250 770112768375 1540225536750