Search a number
-
+
30401225042540 = 2251136431776119
BaseRepresentation
bin1101110100110010101100…
…01110000010101001101100
310222122022212122101201220212
412322121112032002221230
512441043202102330130
6144354044024201552
76255262461105632
oct672312616025154
9128568778351825
1030401225042540
1197610a5a84000
1234abb649092b8
1313c6a917cc421
147715da11b352
1537ac14007e95
hex1ba656382a6c

30401225042540 has 96 divisors (see below), whose sum is σ = 70331282864640. Its totient is φ = 11037791878080.

The previous prime is 30401225042509. The next prime is 30401225042581. The reversal of 30401225042540 is 4524052210403.

It is a super-2 number, since 2×304012250425402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30401225042497 and 30401225042506.

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, 16228601 + ... + 18004719.

It is an arithmetic number, because the mean of its divisors is an integer number (732617529840).

Almost surely, 230401225042540 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 30401225042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35165641432320).

30401225042540 is an abundant number, since it is smaller than the sum of its proper divisors (39930057822100).

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

30401225042540 is a wasteful number, since it uses less digits than its factorization.

30401225042540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776804 (or 1776780 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 30401225042540 its reverse (4524052210403), we get a palindrome (34925277252943).

The spelling of 30401225042540 in words is "thirty trillion, four hundred one billion, two hundred twenty-five million, forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 643 1210 1286 1331 2420 2572 2662 3215 5324 6430 6655 7073 12860 13310 14146 26620 28292 35365 70730 77803 141460 155606 311212 389015 778030 855833 1556060 1711666 1776119 3423332 3552238 4279165 7104476 8558330 8880595 17116660 17761190 19537309 35522380 39074618 78149236 97686545 195373090 214910399 390746180 429820798 859641596 1074551995 1142044517 2149103990 2284089034 2364014389 4298207980 4568178068 4728028778 5710222585 9456057556 11420445170 11820071945 12562489687 22840890340 23640143890 25124979374 47280287780 50249958748 62812448435 125624896870 138187386557 251249793740 276374773114 552749546228 690936932785 1381873865570 1520061252127 2763747731140 3040122504254 6080245008508 7600306260635 15200612521270 30401225042540