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30341444300 = 225229107277353
BaseRepresentation
bin11100010000011111…
…011011001011001100
32220022112210001220022
4130100133123023030
5444114402204200
621534430241312
72122614010166
oct342037331314
986275701808
1030341444300
111195aa55202
125a69356238
132b27043c4b
14167b929936
15bc8ac2885
hex7107db2cc

30341444300 has 144 divisors (see below), whose sum is σ = 69191508960. Its totient is φ = 11533885440.

The previous prime is 30341444219. The next prime is 30341444311. The reversal of 30341444300 is 344414303.

It is a self number, because there is not a number n which added to its sum of digits gives 30341444300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85952924 + ... + 85953276.

It is an arithmetic number, because the mean of its divisors is an integer number (480496590).

Almost surely, 230341444300 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 30341444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34595754480).

30341444300 is an abundant number, since it is smaller than the sum of its proper divisors (38850064660).

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

30341444300 is a wasteful number, since it uses less digits than its factorization.

30341444300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 30341444300 its reverse (344414303), we get a palindrome (30685858603).

The spelling of 30341444300 in words is "thirty billion, three hundred forty-one million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 107 116 145 214 277 290 353 428 535 554 580 706 725 1070 1108 1385 1412 1450 1765 2140 2675 2770 2900 3103 3530 5350 5540 6206 6925 7060 8033 8825 10237 10700 12412 13850 15515 16066 17650 20474 27700 29639 31030 32132 35300 37771 40165 40948 51185 59278 62060 75542 77575 80330 97781 102370 118556 148195 151084 155150 160660 188855 195562 200825 204740 255925 296390 310300 377710 391124 401650 488905 511850 592780 740975 755420 803300 859531 944275 977810 1023700 1095359 1481950 1719062 1888550 1955620 2190718 2444525 2835649 2963900 3438124 3777100 4297655 4381436 4889050 5476795 5671298 8595310 9778100 10462567 10953590 11342596 14178245 17190620 20925134 21488275 21907180 27383975 28356490 41850268 42976550 52312835 54767950 56712980 70891225 85953100 104625670 109535900 141782450 209251340 261564175 283564900 303414443 523128350 606828886 1046256700 1213657772 1517072215 3034144430 6068288860 7585361075 15170722150 30341444300