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403325425040 = 245531011914931
BaseRepresentation
bin1011101111010000001…
…00011001010110010000
31102120001102221110120012
411313220010121112100
523102002302100130
6505141331334052
741065531355516
oct5675004312620
91376042843505
10403325425040
1114605a76245a
1266200a51328
132c058583175
1415741aba4b6
15a75881e995
hex5de8119590

403325425040 has 160 divisors (see below), whose sum is σ = 970132764672. Its totient is φ = 155866880000.

The previous prime is 403325425007. The next prime is 403325425043. The reversal of 403325425040 is 40524523304.

It is a junction number, because it is equal to n+sod(n) for n = 403325424988 and 403325425006.

It is not an unprimeable number, because it can be changed into a prime (403325425043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81791375 + ... + 81796305.

Almost surely, 2403325425040 is an apocalyptic number.

403325425040 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 403325425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485066382336).

403325425040 is an abundant number, since it is smaller than the sum of its proper divisors (566807339632).

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

403325425040 is a wasteful number, since it uses less digits than its factorization.

403325425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 403325425040 its reverse (40524523304), we get a palindrome (443849948344).

The spelling of 403325425040 in words is "four hundred three billion, three hundred twenty-five million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 101 106 191 202 212 265 382 404 424 505 530 764 808 848 955 1010 1060 1528 1616 1910 2020 2120 3056 3820 4040 4240 4931 5353 7640 8080 9862 10123 10706 15280 19291 19724 20246 21412 24655 26765 38582 39448 40492 42824 49310 50615 53530 77164 78896 80984 85648 96455 98620 101230 107060 154328 161968 192910 197240 202460 214120 261343 308656 385820 394480 404920 428240 498031 522686 771640 809840 941821 996062 1022423 1045372 1306715 1543280 1883642 1992124 2044846 2090744 2490155 2613430 3767284 3984248 4089692 4181488 4709105 4980310 5112115 5226860 7534568 7968496 8179384 9418210 9960620 10224230 10453720 15069136 16358768 18836420 19921240 20448460 20907440 26395643 37672840 39842480 40896920 49916513 52791286 75345680 81793840 95123921 99833026 105582572 131978215 190247842 199666052 211165144 249582565 263956430 380495684 399332104 422330288 475619605 499165130 527912860 760991368 798664208 951239210 998330260 1055825720 1521982736 1902478420 1996660520 2111651440 3804956840 3993321040 5041567813 7609913680 10083135626 20166271252 25207839065 40332542504 50415678130 80665085008 100831356260 201662712520 403325425040