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31513043142 = 23371919722273
BaseRepresentation
bin11101010110010100…
…101110000011000110
310000100012100110101000
4131112110232003012
51004014314340032
622251001514130
72163631306230
oct352624560306
9100305313330
1031513043142
1112401322809
1261357a2946
132c829a30b9
14174d385250
15c4689ce7c
hex75652e0c6

31513043142 has 128 divisors (see below), whose sum is σ = 84676838400. Its totient is φ = 8486166528.

The previous prime is 31513043117. The next prime is 31513043147. The reversal of 31513043142 is 24134031513.

It is a happy number.

31513043142 is a `hidden beast` number, since 3 + 1 + 513 + 0 + 4 + 3 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31513043147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1403718 + ... + 1425990.

It is an arithmetic number, because the mean of its divisors is an integer number (661537800).

Almost surely, 231513043142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31513043142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42338419200).

31513043142 is an abundant number, since it is smaller than the sum of its proper divisors (53163795258).

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

31513043142 is a wasteful number, since it uses less digits than its factorization.

31513043142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22507 (or 22501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31513043142 its reverse (24134031513), we get a palindrome (55647074655).

The spelling of 31513043142 in words is "thirty-one billion, five hundred thirteen million, forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 197 266 342 378 394 399 513 591 798 1026 1182 1197 1379 1773 2394 2758 3546 3591 3743 4137 5319 7182 7486 8274 10638 11229 12411 22273 22458 24822 26201 33687 37233 44546 52402 66819 67374 74466 78603 101061 133638 155911 157206 200457 202122 235809 311822 400914 423187 467733 471618 601371 707427 846374 935466 1202742 1269561 1403199 1414854 2539122 2806398 2962309 3808683 4209597 4387781 5924618 7617366 8419194 8775562 8886927 11426049 13163343 17773854 22852098 26326686 26660781 30714467 39490029 53321562 61428934 78980058 79982343 83367839 92143401 118470087 159964686 166735678 184286802 236940174 250103517 276430203 500207034 552860406 583574873 750310551 829290609 1167149746 1500621102 1658581218 1750724619 2250931653 3501449238 4501863306 5252173857 10504347714 15756521571 31513043142