Search a number
-
+
31132231440 = 24352330718371
BaseRepresentation
bin11100111111101000…
…000010011100010000
32222100122210012220220
4130333220002130100
51002224322401230
622145115433040
72151325413102
oct347750023420
988318705826
1031132231440
11122263732a2
12604a155780
132c21b1c62b
141714977572
15c23229d10
hex73fa02710

31132231440 has 160 divisors (see below), whose sum is σ = 101039533056. Its totient is φ = 7914677760.

The previous prime is 31132231439. The next prime is 31132231453. The reversal of 31132231440 is 4413223113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31132231440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685455 + ... + 1703825.

Almost surely, 231132231440 is an apocalyptic number.

31132231440 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 31132231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50519766528).

31132231440 is an abundant number, since it is smaller than the sum of its proper divisors (69907301616).

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

31132231440 is a wasteful number, since it uses less digits than its factorization.

31132231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31132231440 its reverse (4413223113), we get a palindrome (35545454553).

The spelling of 31132231440 in words is "thirty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 307 345 368 460 552 614 690 920 921 1104 1228 1380 1535 1840 1842 2456 2760 3070 3684 4605 4912 5520 6140 7061 7368 9210 12280 14122 14736 18371 18420 21183 24560 28244 35305 36742 36840 42366 55113 56488 70610 73484 73680 84732 91855 105915 110226 112976 141220 146968 169464 183710 211830 220452 275565 282440 293936 338928 367420 422533 423660 440904 551130 564880 734840 845066 847320 881808 1102260 1267599 1469680 1690132 1694640 2112665 2204520 2535198 3380264 4225330 4409040 5070396 5639897 6337995 6760528 8450660 10140792 11279794 12675990 16901320 16919691 20281584 22559588 25351980 28199485 33802640 33839382 45119176 50703960 56398970 67678764 84598455 90238352 101407920 112797940 129717631 135357528 169196910 225595880 259435262 270715056 338393820 389152893 451191760 518870524 648588155 676787640 778305786 1037741048 1297176310 1353575280 1556611572 1945764465 2075482096 2594352620 3113223144 3891528930 5188705240 6226446288 7783057860 10377410480 15566115720 31132231440