Search a number
-
+
30943512544 = 2572313371889
BaseRepresentation
bin11100110100011000…
…001000011111100000
32221212111200022021011
4130310120020133200
51001333014400134
622114254510304
72143544342200
oct346430103740
987774608234
1030943512544
1112139895a6a
125bb6b05394
132bc19b5049
1416d7890400
15c1189d264
hex7346087e0

30943512544 has 144 divisors (see below), whose sum is σ = 73408083840. Its totient is φ = 12788858880.

The previous prime is 30943512521. The next prime is 30943512601. The reversal of 30943512544 is 44521534903.

It is a junction number, because it is equal to n+sod(n) for n = 30943512497 and 30943512506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16379952 + ... + 16381840.

It is an arithmetic number, because the mean of its divisors is an integer number (509778360).

Almost surely, 230943512544 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 30943512544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704041920).

30943512544 is an abundant number, since it is smaller than the sum of its proper divisors (42464571296).

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

30943512544 is a wasteful number, since it uses less digits than its factorization.

30943512544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 30943512544 in words is "thirty billion, nine hundred forty-three million, five hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 337 392 434 496 674 784 868 992 1348 1519 1568 1736 1889 2359 2696 3038 3472 3778 4718 5392 6076 6944 7556 9436 10447 10784 12152 13223 15112 16513 18872 20894 24304 26446 30224 33026 37744 41788 48608 52892 58559 60448 66052 73129 75488 83576 92561 105784 117118 132104 146258 167152 185122 211568 234236 264208 292516 334304 370244 409913 423136 468472 511903 528416 585032 636593 740488 819826 936944 1023806 1170064 1273186 1480976 1639652 1873888 2047612 2340128 2546372 2869391 2961952 3279304 4095224 4456151 5092744 5738782 6558608 8190448 8912302 10185488 11477564 13117216 16380896 17824604 19734383 20370976 22955128 31193057 35649208 39468766 45910256 62386114 71298416 78937532 91820512 124772228 138140681 142596832 157875064 249544456 276281362 315750128 499088912 552562724 631500256 966984767 998177824 1105125448 1933969534 2210250896 3867939068 4420501792 7735878136 15471756272 30943512544