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30141554340 = 22354343326981
BaseRepresentation
bin11100000100100100…
…111001111010100100
32212210121122121102110
4130010210321322210
5443212214214330
621502530041020
72114635661502
oct340444717244
985717577373
1030141554340
1111868137997
125a12419170
132ac47c7a71
14165d175672
15bb628adb0
hex704939ea4

30141554340 has 96 divisors (see below), whose sum is σ = 86561709696. Its totient is φ = 7832401920.

The previous prime is 30141554321. The next prime is 30141554341. The reversal of 30141554340 is 4345514103.

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 = 30141554298 and 30141554307.

It is not an unprimeable number, because it can be changed into a prime (30141554341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103650 + ... + 1130630.

It is an arithmetic number, because the mean of its divisors is an integer number (901684476).

Almost surely, 230141554340 is an apocalyptic number.

30141554340 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 30141554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43280854848).

30141554340 is an abundant number, since it is smaller than the sum of its proper divisors (56420155356).

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

30141554340 is a wasteful number, since it uses less digits than its factorization.

30141554340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27469 (or 27467 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 30141554340 in words is "thirty billion, one hundred forty-one million, five hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 433 516 645 860 866 1290 1299 1732 2165 2580 2598 4330 5196 6495 8660 12990 18619 25980 26981 37238 53962 55857 74476 80943 93095 107924 111714 134905 161886 186190 223428 269810 279285 323772 372380 404715 539620 558570 809430 1117140 1160183 1618860 2320366 3480549 4640732 5800915 6961098 11601830 11682773 13922196 17402745 23203660 23365546 34805490 35048319 46731092 58413865 69610980 70096638 116827730 140193276 175241595 233655460 350483190 502359239 700966380 1004718478 1507077717 2009436956 2511796195 3014155434 5023592390 6028310868 7535388585 10047184780 15070777170 30141554340