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30320159413456 = 2411131217358027
BaseRepresentation
bin1101110010011011101100…
…10101001101010011010000
310222100120122001010002122001
412321031312111031103100
512433231141302212311
6144252520002323344
76246362546452663
oct671156625152320
9128316561102561
1030320159413456
11972a7865a9030
123498300059554
1313bc24298c273
1476b709a2d6da
15378a6c1e24c1
hex1b937654d4d0

30320159413456 has 120 divisors (see below), whose sum is σ = 64953137188512. Its totient is φ = 13597395052800.

The previous prime is 30320159413381. The next prime is 30320159413457. The reversal of 30320159413456 is 65431495102303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320159413457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522489115 + ... + 522547141.

Almost surely, 230320159413456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30320159413456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32476568594256).

30320159413456 is an abundant number, since it is smaller than the sum of its proper divisors (34632977775056).

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

30320159413456 is a wasteful number, since it uses less digits than its factorization.

30320159413456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58481 (or 58344 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 30320159413456 in words is "thirty trillion, three hundred twenty billion, one hundred fifty-nine million, four hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 131 173 176 262 346 524 692 1048 1384 1441 1903 2096 2768 2882 3806 5764 7612 11528 15224 17161 22663 23056 30448 34322 45326 58027 68644 90652 116054 137288 181304 188771 232108 249293 274576 362608 377542 464216 498586 638297 755084 928432 997172 1276594 1510168 1994344 2553188 2968853 3020336 3988688 5106376 5937706 7601537 10038671 10212752 11875412 15203074 20077342 23750824 30406148 32657383 40154684 47501648 60812296 65314766 80309368 83616907 110425381 121624592 130629532 160618736 167233814 220850762 261259064 334467628 441701524 522518128 668935256 883403048 995801347 1315065901 1337870512 1766806096 1991602694 2630131802 3983205388 5260263604 7966410776 10520527208 10953814817 14465724911 15932821552 21041054416 21907629634 28931449822 43815259268 57862899644 87630518536 115725799288 172273633031 175261037072 231451598576 344547266062 689094532124 1378189064248 1895009963341 2756378128496 3790019926682 7580039853364 15160079706728 30320159413456