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40203233120 = 2557116992083
BaseRepresentation
bin100101011100010011…
…001010011101100000
310211202211110211221002
4211130103022131200
51124314011424440
630245154451132
72622162562121
oct453423123540
9124684424832
1040203233120
111606074a0a6
12795bb93aa8
133a391cc34b
141d35592048
1510a477e115
hex95c4ca760

40203233120 has 96 divisors (see below), whose sum is σ = 96420844800. Its totient is φ = 15837857280.

The previous prime is 40203233099. The next prime is 40203233123. The reversal of 40203233120 is 2133230204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40203233092 and 40203233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40203233123) 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, 19299599 + ... + 19301681.

It is an arithmetic number, because the mean of its divisors is an integer number (1004383800).

Almost surely, 240203233120 is an apocalyptic number.

40203233120 is a gapful number since it is divisible by the number (40) 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 40203233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48210422400).

40203233120 is an abundant number, since it is smaller than the sum of its proper divisors (56217611680).

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

40203233120 is a wasteful number, since it uses less digits than its factorization.

40203233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 40203233120 its reverse (2133230204), we get a palindrome (42336463324).

The spelling of 40203233120 in words is "forty billion, two hundred three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 1699 2083 2272 2840 3398 4166 5680 6796 8332 8495 10415 11360 13592 16664 16990 20830 27184 33328 33980 41660 54368 66656 67960 83320 120629 135920 147893 166640 241258 271840 295786 333280 482516 591572 603145 739465 965032 1183144 1206290 1478930 1930064 2366288 2412580 2957860 3539017 3860128 4732576 4825160 5915720 7078034 9650320 11831440 14156068 17695085 19300640 23662880 28312136 35390170 56624272 70780340 113248544 141560680 251270207 283121360 502540414 566242720 1005080828 1256351035 2010161656 2512702070 4020323312 5025404140 8040646624 10050808280 20101616560 40203233120