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240020033114440 = 235171312694432343
BaseRepresentation
bin110110100100110000000100…
…110100000001000101001000
31011110211200122210101201121101
4312210300010310001011020
5222424442011434130230
62210251403032551144
7101361606113134645
oct6644600464010510
91143750583351541
10240020033114440
116a528a19424847
1222b055a75524b4
13a3c0a3b0569c7
14433b062964dcc
151cb37128b8aca
hexda4c04d01148

240020033114440 has 64 divisors (see below), whose sum is σ = 576177412440960. Its totient is φ = 89670708341760.

The previous prime is 240020033114431. The next prime is 240020033114441. The reversal of 240020033114440 is 44411330020042.

It is a super-2 number, since 2×2400200331144402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240020033114399 and 240020033114408.

It is not an unprimeable number, because it can be changed into a prime (240020033114441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347127092 + ... + 1347305251.

It is an arithmetic number, because the mean of its divisors is an integer number (9002772069390).

Almost surely, 2240020033114440 is an apocalyptic number.

240020033114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240020033114440 is an abundant number, since it is smaller than the sum of its proper divisors (336157379326520).

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

240020033114440 is a wasteful number, since it uses less digits than its factorization.

240020033114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694432502 (or 2694432498 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 240020033114440 its reverse (44411330020042), we get a palindrome (284431363134482).

The spelling of 240020033114440 in words is "two hundred forty trillion, twenty billion, thirty-three million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 170 262 340 524 655 680 1048 1310 2227 2620 4454 5240 8908 11135 17816 22270 44540 89080 2694432343 5388864686 10777729372 13472161715 21555458744 26944323430 45805349831 53888646860 91610699662 107777293720 183221399324 229026749155 352970636933 366442798648 458053498310 705941273866 916106996620 1411882547732 1764853184665 1832213993240 2823765095464 3529706369330 6000500827861 7059412738660 12001001655722 14118825477320 24002003311444 30002504139305 48004006622888 60005008278610 120010016557220 240020033114440