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31368415740 = 22353761722901
BaseRepresentation
bin11101001101101101…
…000000100111111100
32222222010012121212120
4131031231000213330
51003220303300430
622224354002540
72160224064054
oct351555004774
988863177776
1031368415740
1112337720032
1260b5276450
132c5ba3575c
141738098564
15c38d30610
hex74db409fc

31368415740 has 96 divisors (see below), whose sum is σ = 90355535424. Its totient is φ = 8125286400.

The previous prime is 31368415739. The next prime is 31368415787. The reversal of 31368415740 is 4751486313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31368415692 and 31368415701.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1358290 + ... + 1381190.

It is an arithmetic number, because the mean of its divisors is an integer number (941203494).

Almost surely, 231368415740 is an apocalyptic number.

31368415740 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 31368415740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177767712).

31368415740 is an abundant number, since it is smaller than the sum of its proper divisors (58987119684).

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

31368415740 is a wasteful number, since it uses less digits than its factorization.

31368415740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23567 (or 23565 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 31368415740 in words is "thirty-one billion, three hundred sixty-eight million, four hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 617 740 1110 1234 1851 2220 2468 3085 3702 6170 7404 9255 12340 18510 22829 22901 37020 45658 45802 68487 68703 91316 91604 114145 114505 136974 137406 228290 229010 273948 274812 342435 343515 456580 458020 684870 687030 847337 1369740 1374060 1694674 2542011 3389348 4236685 5084022 8473370 10168044 12710055 14129917 16946740 25420110 28259834 42389751 50840220 56519668 70649585 84779502 141299170 169559004 211948755 282598340 423897510 522806929 847795020 1045613858 1568420787 2091227716 2614034645 3136841574 5228069290 6273683148 7842103935 10456138580 15684207870 31368415740