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31373417340 = 2234583233329
BaseRepresentation
bin11101001110000000…
…000101101101111100
32222222110121201210000
4131032000011231330
51003223043323330
622225053114300
72160314435016
oct351600055574
988873551700
1031373417340
111233a526891
1260b6a88990
132c5ca97195
1417389db1b6
15c394bc560
hex74e005b7c

31373417340 has 120 divisors (see below), whose sum is σ = 99605777040. Its totient is φ = 8265411072.

The previous prime is 31373417311. The next prime is 31373417357. The reversal of 31373417340 is 4371437313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31373417295 and 31373417304.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 17796 + ... + 251124.

It is an arithmetic number, because the mean of its divisors is an integer number (830048142).

Almost surely, 231373417340 is an apocalyptic number.

31373417340 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 31373417340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49802888520).

31373417340 is an abundant number, since it is smaller than the sum of its proper divisors (68232359700).

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

31373417340 is a wasteful number, since it uses less digits than its factorization.

31373417340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233433 (or 233422 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 31373417340 in words is "thirty-one billion, three hundred seventy-three million, four hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1660 2241 2490 2988 3735 4482 4980 6723 7470 8964 11205 13446 14940 22410 26892 33615 44820 67230 134460 233329 466658 699987 933316 1166645 1399974 2099961 2333290 2799948 3499935 4199922 4666580 6299883 6999870 8399844 10499805 12599766 13999740 18899649 19366307 20999610 25199532 31499415 37799298 38732614 41999220 58098921 62998830 75598596 77465228 94498245 96831535 116197842 125997660 174296763 188996490 193663070 232395684 290494605 348593526 377992980 387326140 522890289 580989210 697187052 871483815 1045780578 1161978420 1568670867 1742967630 2091561156 2614451445 3137341734 3485935260 5228902890 6274683468 7843354335 10457805780 15686708670 31373417340