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30321022444140 = 223515116087208037
BaseRepresentation
bin1101110010011101010011…
…10001011010001001101100
310222100122212012001121011110
412321032221301122021230
512433234423221203030
6144253141352152020
76246423126215301
oct671165161321154
9128318765047143
1030321022444140
11973008977a82a
123498501098610
1313bc34c7106cc
1476b78c4c50a8
15378abcd6a1b0
hex1b93a9c5a26c

30321022444140 has 96 divisors (see below), whose sum is σ = 85466830224384. Its totient is φ = 8031521030400.

The previous prime is 30321022444003. The next prime is 30321022444159. The reversal of 30321022444140 is 4144422012303.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30321022444098 and 30321022444107.

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 31 ways as a sum of consecutive naturals, for example, 145644202 + ... + 145852238.

It is an arithmetic number, because the mean of its divisors is an integer number (890279481504).

Almost surely, 230321022444140 is an apocalyptic number.

30321022444140 is a gapful number since it is divisible by the number (30) 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 30321022444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42733415112192).

30321022444140 is an abundant number, since it is smaller than the sum of its proper divisors (55145807780244).

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

30321022444140 is a wasteful number, since it uses less digits than its factorization.

30321022444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224287 (or 224285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 30321022444140 its reverse (4144422012303), we get a palindrome (34465444456443).

The spelling of 30321022444140 in words is "thirty trillion, three hundred twenty-one billion, twenty-two million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 16087 32174 48261 64348 80435 96522 160870 193044 208037 241305 321740 416074 482610 624111 832148 965220 1040185 1248222 2080370 2429137 2496444 3120555 4160740 4858274 6241110 7287411 9716548 12145685 12482220 14574822 24291370 29149644 31413587 36437055 48582740 62827174 72874110 94240761 125654348 145748220 157067935 188481522 314135870 376963044 471203805 628271740 942407610 1884815220 3346691219 6693382438 10040073657 13386764876 16733456095 20080147314 33466912190 40160294628 50200368285 66933824380 100400736570 200801473140 505350374069 1010700748138 1516051122207 2021401496276 2526751870345 3032102244414 5053503740690 6064204488828 7580255611035 10107007481380 15160511222070 30321022444140