Search a number
-
+
30238429944 = 23331794991031
BaseRepresentation
bin11100001010010110…
…011101001011111000
32220001100221101202210
4130022112131023320
5443412014224234
621520310255120
72120223261612
oct341226351370
986040841683
1030238429944
1111907894a78
125a3a9574a0
132b0b8b63c8
14166bd91db2
15bbea24be9
hex70a59d2f8

30238429944 has 128 divisors (see below), whose sum is σ = 79257600000. Its totient is φ = 9602236800.

The previous prime is 30238429933. The next prime is 30238429999. The reversal of 30238429944 is 44992483203.

It is a junction number, because it is equal to n+sod(n) for n = 30238429893 and 30238429902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29328709 + ... + 29329739.

It is an arithmetic number, because the mean of its divisors is an integer number (619200000).

Almost surely, 230238429944 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 30238429944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39628800000).

30238429944 is an abundant number, since it is smaller than the sum of its proper divisors (49019170056).

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

30238429944 is a wasteful number, since it uses less digits than its factorization.

30238429944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 30238429944 in words is "thirty billion, two hundred thirty-eight million, four hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 237 248 316 372 474 499 632 744 948 998 1031 1497 1896 1996 2062 2449 2994 3093 3992 4124 4898 5988 6186 7347 8248 9796 11976 12372 14694 15469 19592 24744 29388 30938 31961 39421 46407 58776 61876 63922 78842 81449 92814 95883 118263 123752 127844 157684 162898 185628 191766 236526 244347 255688 315368 325796 371256 383532 473052 488694 514469 651592 767064 946104 977388 1028938 1222051 1543407 1954776 2057876 2444102 2524919 3086814 3666153 4115752 4888204 5049838 6173628 7332306 7574757 9776408 10099676 12347256 14664612 15149514 15948539 20199352 29329224 30299028 31897078 40643051 47845617 60598056 63794156 81286102 95691234 121929153 127588312 162572204 191382468 243858306 325144408 382764936 487716612 975433224 1259934581 2519869162 3779803743 5039738324 7559607486 10079476648 15119214972 30238429944