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30390280256644 = 2272112357972
BaseRepresentation
bin1101110100011110010011…
…10110111111110010000100
310222121021121212212000012021
412322033021312333302010
512440403243221203034
6144345034011332524
76254424322005100
oct672171166776204
9128537555760167
1030390280256644
119757499a28400
1234a9a0b451144
1313c5a39167559
14770c7c700900
1537a7c32236b4
hex1ba3c9dbfc84

30390280256644 has 81 divisors (see below), whose sum is σ = 68003291258469. Its totient is φ = 11840038166880.

The previous prime is 30390280256639. The next prime is 30390280256657. The reversal of 30390280256644 is 44665208209303.

The square root of 30390280256644 is 5512738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2280009400900 + 28110270855744 = 1509970^2 + 5301912^2 .

It is a super-2 number, since 2×303902802566442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30390280256591 and 30390280256600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 848943754 + ... + 848979550.

Almost surely, 230390280256644 is an apocalyptic number.

30390280256644 is the 5512738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30390280256644

30390280256644 is an abundant number, since it is smaller than the sum of its proper divisors (37613011001825).

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

30390280256644 is an frugal number, since it uses more digits than its factorization.

30390280256644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71634 (or 35817 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 30390280256644 in words is "thirty trillion, three hundred ninety billion, two hundred eighty million, two hundred fifty-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 35797 71594 143188 250579 393767 501158 787534 1002316 1575068 1754053 2756369 3508106 4331437 5512738 7016212 8662874 11025476 17325748 19294583 30320059 38589166 60640118 77178332 121280236 212240413 424480826 848961652 1281425209 2562850418 5125700836 8969976463 14095677299 17939952926 28191354598 35879905852 56382709196 62789835241 98669741093 125579670482 155052450289 197339482186 251159340964 310104900578 394678964372 620209801156 690688187651 1085367152023 1381376375302 2170734304046 2762752750604 4341468608092 7597570064161 15195140128322 30390280256644