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123214422528 = 293251712
BaseRepresentation
bin111001011000000100…
…1101110001000000000
3102210001000200012020200
41302300021232020000
54004320343010103
6132334240405200
711621240211441
oct1626011561000
9383030605220
10123214422528
114828936936a
121ba68316800
13b808135732
145d6c2072c8
1533122a20a3
hex1cb026e200

123214422528 has 90 divisors (see below), whose sum is σ = 355673948487. Its totient is φ = 41063531520.

The previous prime is 123214422511. The next prime is 123214422547. The reversal of 123214422528 is 825224412321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

123214422528 is a `hidden beast` number, since 12 + 3 + 214 + 422 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61607211264 + 61607211264 = 248208^2 + 248208^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=248208.

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

It is a junction number, because it is equal to n+sod(n) for n = 123214422492 and 123214422501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23825383 + ... + 23830553.

Almost surely, 2123214422528 is an apocalyptic number.

123214422528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123214422528

123214422528 is an abundant number, since it is smaller than the sum of its proper divisors (232459525959).

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

123214422528 is an frugal number, since it uses more digits than its factorization.

123214422528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 5176 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 123214422528 its reverse (825224412321), we get a palindrome (948438834849).

The spelling of 123214422528 in words is "one hundred twenty-three billion, two hundred fourteen million, four hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5171 10342 15513 20684 31026 41368 46539 62052 82736 93078 124104 165472 186156 248208 330944 372312 496416 661888 744624 992832 1323776 1489248 1985664 2647552 2978496 3971328 5956992 7942656 11913984 23827968 26739241 53478482 80217723 106956964 160435446 213913928 240653169 320870892 427827856 481306338 641741784 855655712 962612676 1283483568 1711311424 1925225352 2566967136 3422622848 3850450704 5133934272 6845245696 7700901408 10267868544 13690491392 15401802816 20535737088 30803605632 41071474176 61607211264 123214422528