Search a number
-
+
30104243440 = 24529411911657
BaseRepresentation
bin11100000010010110…
…100100110011110000
32212201000110000111021
4130002112210303300
5443123141242230
621455114225224
72114003563405
oct340226446360
985630400437
1030104243440
1111849073737
125a01a25214
132ab9b631cb
1416582222ac
15bb2d6ac7a
hex7025a4cf0

30104243440 has 160 divisors (see below), whose sum is σ = 74605224960. Its totient is φ = 11276697600.

The previous prime is 30104243423. The next prime is 30104243441. The reversal of 30104243440 is 4434240103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30104243441) 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, 18167092 + ... + 18168748.

It is an arithmetic number, because the mean of its divisors is an integer number (466282656).

Almost surely, 230104243440 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 30104243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37302612480).

30104243440 is an abundant number, since it is smaller than the sum of its proper divisors (44500981520).

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

30104243440 is a wasteful number, since it uses less digits than its factorization.

30104243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30104243440 its reverse (4434240103), we get a palindrome (34538483543).

The spelling of 30104243440 in words is "thirty billion, one hundred four million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 41 58 80 82 116 145 164 191 205 232 290 328 382 410 464 580 656 764 820 955 1160 1189 1528 1640 1657 1910 2320 2378 3056 3280 3314 3820 4756 5539 5945 6628 7640 7831 8285 9512 11078 11890 13256 15280 15662 16570 19024 22156 23780 26512 27695 31324 33140 39155 44312 47560 48053 55390 62648 66280 67937 78310 88624 95120 96106 110780 125296 132560 135874 156620 192212 221560 227099 240265 271748 313240 316487 339685 384424 443120 454198 480530 543496 626480 632974 679370 768848 908396 961060 1086992 1135495 1265948 1358740 1582435 1816792 1922120 1970173 2270990 2531896 2717480 3164870 3633584 3844240 3940346 4541980 5063792 5434960 6329740 7880692 9083960 9178123 9850865 12659480 12975967 15761384 18167920 18356246 19701730 25318960 25951934 31522768 36712492 39403460 45890615 51903868 64879835 73424984 78806920 91781230 103807736 129759670 146849968 157613840 183562460 207615472 259519340 367124920 376303043 519038680 734249840 752606086 1038077360 1505212172 1881515215 3010424344 3763030430 6020848688 7526060860 15052121720 30104243440