Search a number
-
+
30424200020032 = 2671334715054569
BaseRepresentation
bin1101110101011101011111…
…01000101000000001000000
310222201112011210212112002011
412322232233220220001000
512441432230201120112
6144412403505502304
76260035016150410
oct672565750500100
9128645153775064
1030424200020032
11976a915832705
1234b44b7041994
1313c8cb363a070
14772779574640
1537b60b023aa7
hex1babafa28040

30424200020032 has 112 divisors (see below), whose sum is σ = 74519398880640. Its totient is φ = 12001260736512.

The previous prime is 30424200020023. The next prime is 30424200020041. The reversal of 30424200020032 is 23002000242403.

It is an interprime number because it is at equal distance from previous prime (30424200020023) and next prime (30424200020041).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 30424200019985 and 30424200020012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5506357 + ... + 9548212.

It is an arithmetic number, because the mean of its divisors is an integer number (665351775720).

Almost surely, 230424200020032 is an apocalyptic number.

30424200020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30424200020032 is an abundant number, since it is smaller than the sum of its proper divisors (44095198860608).

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

30424200020032 is a wasteful number, since it uses less digits than its factorization.

30424200020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15054948 (or 15054938 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 30424200020032 its reverse (23002000242403), we get a palindrome (53426200262435).

The spelling of 30424200020032 in words is "thirty trillion, four hundred twenty-four billion, two hundred million, twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 347 364 416 448 694 728 832 1388 1456 2429 2776 2912 4511 4858 5552 5824 9022 9716 11104 18044 19432 22208 31577 36088 38864 63154 72176 77728 126308 144352 155456 252616 288704 505232 1010464 2020928 15054569 30109138 60218276 105381983 120436552 195709397 210763966 240873104 391418794 421527932 481746208 782837588 843055864 963492416 1369965779 1565675176 1686111728 2739931558 3131350352 3372223456 5223935443 5479863116 6262700704 6744446912 10447870886 10959726232 12525401408 20895741772 21919452464 36567548101 41791483544 43838904928 67911160759 73135096202 83582967088 87677809856 135822321518 146270192404 167165934176 271644643036 292540384808 334331868352 475378125313 543289286072 585080769616 950756250626 1086578572144 1170161539232 1901512501252 2173157144288 2340323078464 3803025002504 4346314288576 7606050005008 15212100010016 30424200020032