Search a number
-
+
24145011123030 = 23257371035822013
BaseRepresentation
bin1010111110101101100101…
…10011111010001101010110
310011111020111100011111211100
411133112302303322031112
511131042440321414110
6123204022011450530
75041263612156330
oct537266263721526
9104436440144740
1024145011123030
117769929357736
12285b56b456a46
131061b31bc5ac5
145d68a6544450
152bd101964bc0
hex15f5b2cfa356

24145011123030 has 96 divisors (see below), whose sum is σ = 73684234787904. Its totient is φ = 5369701310208.

The previous prime is 24145011123017. The next prime is 24145011123049. The reversal of 24145011123030 is 3032111054142.

24145011123030 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 501 + 1 + 123 + 0 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 24145011122985 and 24145011123003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517887697 + ... + 517934316.

It is an arithmetic number, because the mean of its divisors is an integer number (767544112374).

Almost surely, 224145011123030 is an apocalyptic number.

24145011123030 is an abundant number, since it is smaller than the sum of its proper divisors (49539223664874).

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

24145011123030 is a wasteful number, since it uses less digits than its factorization.

24145011123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035822070 (or 1035822067 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 24145011123030 its reverse (3032111054142), we get a palindrome (27177122177172).

The spelling of 24145011123030 in words is "twenty-four trillion, one hundred forty-five billion, eleven million, one hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 23310 1035822013 2071644026 3107466039 5179110065 6214932078 7250754091 9322398117 10358220130 14501508182 15537330195 18644796234 21752262273 31074660390 36253770455 38325414481 43504524546 46611990585 65256786819 72507540910 76650828962 93223981170 108761311365 114976243443 130513573638 191627072405 217522622730 229952486886 268277901367 326283934095 344928730329 383254144810 536555802734 574881217215 652567868190 689857460658 804833704101 1149762434430 1341389506835 1609667408202 1724643651645 2414501112303 2682779013670 3449287303290 4024168520505 4829002224606 8048337041010 12072505561515 24145011123030