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31442403040 = 2551747924133
BaseRepresentation
bin11101010010000111…
…001111111011100000
310000011021102120100221
4131102013033323200
51003343223344130
622235555452424
72162113005346
oct352207177340
9100137376327
1031442403040
1112375464864
126115bb7114
132c7116c119
141743c37996
15c4059787a
hex7521cfee0

31442403040 has 96 divisors (see below), whose sum is σ = 78819713280. Its totient is φ = 11811938304.

The previous prime is 31442402983. The next prime is 31442403043. The reversal of 31442403040 is 4030424413.

It is a junction number, because it is equal to n+sod(n) for n = 31442402996 and 31442403014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442403043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290814 + ... + 1314946.

It is an arithmetic number, because the mean of its divisors is an integer number (821038680).

Almost surely, 231442403040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39409856640).

31442403040 is an abundant number, since it is smaller than the sum of its proper divisors (47377310240).

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

31442403040 is a wasteful number, since it uses less digits than its factorization.

31442403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24644 (or 24636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 31442403040 its reverse (4030424413), we get a palindrome (35472827453).

The spelling of 31442403040 in words is "thirty-one billion, four hundred forty-two million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 479 544 680 958 1360 1916 2395 2720 3832 4790 7664 8143 9580 15328 16286 19160 24133 32572 38320 40715 48266 65144 76640 81430 96532 120665 130288 162860 193064 241330 260576 325720 386128 410261 482660 651440 772256 820522 965320 1302880 1641044 1930640 2051305 3282088 3861280 4102610 6564176 8205220 11559707 13128352 16410440 23119414 32820880 46238828 57798535 65641760 92477656 115597070 184955312 196515019 231194140 369910624 393030038 462388280 786060076 924776560 982575095 1572120152 1849553120 1965150190 3144240304 3930300380 6288480608 7860600760 15721201520 31442403040