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31444234320 = 2435538213011
BaseRepresentation
bin11101010010001110…
…001111000001010000
310000011101212121102010
4131102032033001100
51003344210444240
622240103022520
72162134403352
oct352216170120
9100141777363
1031444234320
11123764a5714
12611673aa40
132c71660815
1417441930d2
15c4080a280
hex75238f050

31444234320 has 160 divisors (see below), whose sum is σ = 99470312064. Its totient is φ = 8214169600.

The previous prime is 31444234301. The next prime is 31444234321. The reversal of 31444234320 is 2343244413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444234321) 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, 10441615 + ... + 10444625.

Almost surely, 231444234320 is an apocalyptic number.

31444234320 is a gapful number since it is divisible by the number (30) 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 31444234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49735156032).

31444234320 is an abundant number, since it is smaller than the sum of its proper divisors (68026077744).

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

31444234320 is a wasteful number, since it uses less digits than its factorization.

31444234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 31444234320 its reverse (2343244413), we get a palindrome (33787478733).

The spelling of 31444234320 in words is "thirty-one billion, four hundred forty-four million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 821 848 1060 1272 1590 1642 2120 2463 2544 3011 3180 3284 4105 4240 4926 6022 6360 6568 8210 9033 9852 12044 12315 12720 13136 15055 16420 18066 19704 24088 24630 30110 32840 36132 39408 43513 45165 48176 49260 60220 65680 72264 87026 90330 98520 120440 130539 144528 159583 174052 180660 197040 217565 240880 261078 319166 348104 361320 435130 478749 522156 638332 652695 696208 722640 797915 870260 957498 1044312 1276664 1305390 1595830 1740520 1914996 2088624 2393745 2472031 2553328 2610780 3191660 3481040 3829992 4787490 4944062 5221560 6383320 7416093 7659984 9574980 9888124 10443120 12360155 12766640 14832186 19149960 19776248 24720310 29664372 37080465 38299920 39552496 49440620 59328744 74160930 98881240 118657488 131017643 148321860 197762480 262035286 296643720 393052929 524070572 593287440 655088215 786105858 1048141144 1310176430 1572211716 1965264645 2096282288 2620352860 3144423432 3930529290 5240705720 6288846864 7861058580 10481411440 15722117160 31444234320