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31339231740 = 223251714277177
BaseRepresentation
bin11101001011111101…
…101011100111111100
32222220002021220221200
4131023331223213330
51003140320403430
622221432255500
72156421034365
oct351375534774
988802256850
1031339231740
11123221a7723
1260a7541590
132c5598800b
14173425cb6c
15c364b8460
hex74bf6b9fc

31339231740 has 144 divisors (see below), whose sum is σ = 100738808352. Its totient is φ = 7858925568.

The previous prime is 31339231697. The next prime is 31339231771. The reversal of 31339231740 is 4713293313.

It is a happy number.

31339231740 is a `hidden beast` number, since 3 + 1 + 339 + 2 + 317 + 4 + 0 = 666.

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 = 31339231695 and 31339231704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363032 + ... + 4370208.

It is an arithmetic number, because the mean of its divisors is an integer number (699575058).

Almost surely, 231339231740 is an apocalyptic number.

31339231740 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 31339231740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50369404176).

31339231740 is an abundant number, since it is smaller than the sum of its proper divisors (69399576612).

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

31339231740 is a wasteful number, since it uses less digits than its factorization.

31339231740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 31339231740 in words is "thirty-one billion, three hundred thirty-nine million, two hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1427 1530 2854 3060 4281 5708 7135 7177 8562 12843 14270 14354 17124 21405 21531 24259 25686 28540 28708 35885 42810 43062 48518 51372 64215 64593 71770 72777 85620 86124 97036 107655 121295 122009 128430 129186 143540 145554 215310 218331 242590 244018 256860 258372 291108 322965 363885 366027 430620 436662 485180 488036 610045 645930 727770 732054 873324 1091655 1098081 1220090 1291860 1455540 1464108 1830135 2183310 2196162 2440180 3660270 4366620 4392324 5490405 7320540 10241579 10980810 20483158 21961620 30724737 40966316 51207895 61449474 92174211 102415790 122898948 153623685 174106843 184348422 204831580 307247370 348213686 368696844 460871055 522320529 614494740 696427372 870534215 921742110 1044641058 1566961587 1741068430 1843484220 2089282116 2611602645 3133923174 3482136860 5223205290 6267846348 7834807935 10446410580 15669615870 31339231740