Search a number
-
+
30444719198960 = 2451161567151997
BaseRepresentation
bin1101110110000011101101…
…01011000101001011110000
310222210111010211022210221002
412323001312223011023300
512442301241103331320
6144430035543021132
76261362344250453
oct673016653051360
9128714124283832
1030444719198960
119778595328520
1234b8482a3a7a8
1313cac03753561
147737647a549a
1537be0c645675
hex1bb076ac52f0

30444719198960 has 80 divisors (see below), whose sum is σ = 78484762091232. Its totient is φ = 10889318323200.

The previous prime is 30444719198921. The next prime is 30444719199071. The reversal of 30444719198960 is 6989191744403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 283522319 + ... + 283629678.

Almost surely, 230444719198960 is an apocalyptic number.

It is an amenable number.

30444719198960 is an abundant number, since it is smaller than the sum of its proper divisors (48040042892272).

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

30444719198960 is a wasteful number, since it uses less digits than its factorization.

30444719198960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567152082 (or 567152076 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 30444719198960 in words is "thirty trillion, four hundred forty-four billion, seven hundred nineteen million, one hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 4880 5368 6710 10736 13420 26840 53680 567151997 1134303994 2268607988 2835759985 4537215976 5671519970 6238671967 9074431952 11343039940 12477343934 22686079880 24954687868 31193359835 34596271817 45372159760 49909375736 62386719670 69192543634 99818751472 124773439340 138385087268 172981359085 249546878680 276770174536 345962718170 380558989987 499093757360 553540349072 691925436340 761117979974 1383850872680 1522235959948 1902794949935 2767701745360 3044471919896 3805589899870 6088943839792 7611179799740 15222359599480 30444719198960