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30301441305432 = 23311819291400947
BaseRepresentation
bin1101110001111000110101…
…01001010010101101011000
310222021210022112200200120220
412320330122221102231120
512432424322433233212
6144240142344320040
76245130651250323
oct670743251225530
9128253275620526
1030301441305432
119722850729470
123494757473020
1313ba54ba4c3bb
1476a851ab37ba
15378323c8b38c
hex1b8f1aa52b58

30301441305432 has 64 divisors (see below), whose sum is σ = 82641362140800. Its totient is φ = 9182136311040.

The previous prime is 30301441305427. The next prime is 30301441305547. The reversal of 30301441305432 is 23450314410303.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 30301441305393 and 30301441305402.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20928783 + ... + 22329729.

It is an arithmetic number, because the mean of its divisors is an integer number (1291271283450).

Almost surely, 230301441305432 is an apocalyptic number.

It is an amenable number.

30301441305432 is an abundant number, since it is smaller than the sum of its proper divisors (52339920835368).

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

30301441305432 is a wasteful number, since it uses less digits than its factorization.

30301441305432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482896 (or 1482892 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 30301441305432 its reverse (23450314410303), we get a palindrome (53751755715735).

The spelling of 30301441305432 in words is "thirty trillion, three hundred one billion, four hundred forty-one million, three hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 81929 163858 245787 327716 491574 655432 901219 983148 1400947 1802438 1966296 2703657 2801894 3604876 4202841 5407314 5603788 7209752 8405682 10814628 11207576 15410417 16811364 21629256 30820834 33622728 46231251 61641668 92462502 123283336 184925004 369850008 114778186763 229556373526 344334560289 459112747052 688669120578 918225494104 1262560054393 1377338241156 2525120108786 2754676482312 3787680163179 5050240217572 7575360326358 10100480435144 15150720652716 30301441305432