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2024423414000 = 245313461168899
BaseRepresentation
bin11101011101011001000…
…010011101100011110000
321011112101112210211110222
4131131121002131203300
5231132004343222000
64150001323312212
7266155046045501
oct35353102354360
97145345724428
102024423414000
1171060a271259
1228841b37b668
13118b964ac330
146dda8426ba8
15379d7259a85
hex1d75909d8f0

2024423414000 has 160 divisors (see below), whose sum is σ = 5283064987200. Its totient is φ = 745853568000.

The previous prime is 2024423413981. The next prime is 2024423414009. The reversal of 2024423414000 is 4143244202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024423414009) 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, 11901551 + ... + 12070449.

It is an arithmetic number, because the mean of its divisors is an integer number (33019156170).

Almost surely, 22024423414000 is an apocalyptic number.

2024423414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024423414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641532493600).

2024423414000 is an abundant number, since it is smaller than the sum of its proper divisors (3258641573200).

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

2024423414000 is a wasteful number, since it uses less digits than its factorization.

2024423414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169396 (or 169380 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2024423414000 its reverse (4143244202), we get a palindrome (2028566658202).

The spelling of 2024423414000 in words is "two trillion, twenty-four billion, four hundred twenty-three million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 461 500 520 650 922 1000 1040 1300 1625 1844 2000 2305 2600 3250 3688 4610 5200 5993 6500 7376 9220 11525 11986 13000 18440 23050 23972 26000 29965 36880 46100 47944 57625 59930 92200 95888 115250 119860 149825 168899 184400 230500 239720 299650 337798 461000 479440 599300 675596 749125 844495 922000 1198600 1351192 1498250 1688990 2195687 2397200 2702384 2996500 3377980 4222475 4391374 5993000 6755960 8444950 8782748 10978435 11986000 13511920 16889900 17565496 21112375 21956870 33779800 35130992 42224750 43913740 54892175 67559600 77862439 84449500 87827480 109784350 155724878 168899000 175654960 219568700 274460875 311449756 337798000 389312195 439137400 548921750 622899512 778624390 878274800 1012211707 1097843500 1245799024 1557248780 1946560975 2024423414 2195687000 3114497560 3893121950 4048846828 4391374000 5061058535 6228995120 7786243900 8097693656 9732804875 10122117070 15572487800 16195387312 19465609750 20244234140 25305292675 31144975600 38931219500 40488468280 50610585350 77862439000 80976936560 101221170700 126526463375 155724878000 202442341400 253052926750 404884682800 506105853500 1012211707000 2024423414000