Search a number
-
+
1021482123264 = 214332309123
BaseRepresentation
bin11101101110101010001…
…01000100000000000000
310121122121211211100122000
432313111011010000000
5113213443410421024
62101132402544000
7133541164534011
oct16672505040000
93548554740560
101021482123264
11364232035079
12145b78368000
137542ca46895
14376234db008
151b887699cc9
hexedd5144000

1021482123264 has 120 divisors (see below), whose sum is σ = 3026522644320. Its totient is φ = 340493893632.

The previous prime is 1021482123251. The next prime is 1021482123349. The reversal of 1021482123264 is 4623212841201.

1021482123264 is a `hidden beast` number, since 10 + 21 + 482 + 123 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712194 + ... + 1596929.

It is an arithmetic number, because the mean of its divisors is an integer number (25221022036).

Almost surely, 21021482123264 is an apocalyptic number.

It is an amenable number.

1021482123264 is an abundant number, since it is smaller than the sum of its proper divisors (2005040521056).

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

1021482123264 is an frugal number, since it uses more digits than its factorization.

1021482123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309160 (or 2309128 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 1021482123264 its reverse (4623212841201), we get a palindrome (5644694964465).

The spelling of 1021482123264 in words is "one trillion, twenty-one billion, four hundred eighty-two million, one hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 27648 36864 49152 55296 73728 110592 147456 221184 442368 2309123 4618246 6927369 9236492 13854738 18472984 20782107 27709476 36945968 41564214 55418952 62346321 73891936 83128428 110837904 124692642 147783872 166256856 221675808 249385284 295567744 332513712 443351616 498770568 591135488 665027424 886703232 997541136 1182270976 1330054848 1773406464 1995082272 2364541952 2660109696 3546812928 3990164544 4729083904 5320219392 7093625856 7980329088 9458167808 10640438784 14187251712 15960658176 18916335616 21280877568 28374503424 31921316352 37832671232 42561755136 56749006848 63842632704 85123510272 113498013696 127685265408 170247020544 255370530816 340494041088 510741061632 1021482123264