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31134243714 = 23719591993323
BaseRepresentation
bin11100111111101111…
…101101101110000010
32222100210120110020120
4130333233231232002
51002230331244324
622145230521110
72151351463560
oct347757555602
988323513216
1031134243714
1112227518132
12604a966196
132c22375522
141714d3ca30
15c234c6179
hex73fbedb82

31134243714 has 128 divisors (see below), whose sum is σ = 76584960000. Its totient is φ = 8240367168.

The previous prime is 31134243713. The next prime is 31134243743. The reversal of 31134243714 is 41734243113.

It is a super-2 number, since 2×311342437142 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31134243713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9367657 + ... + 9370979.

It is an arithmetic number, because the mean of its divisors is an integer number (598320000).

Almost surely, 231134243714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31134243714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38292480000).

31134243714 is an abundant number, since it is smaller than the sum of its proper divisors (45450716286).

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

31134243714 is a wasteful number, since it uses less digits than its factorization.

31134243714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612.

The product of its digits is 24192, while the sum is 33.

Adding to 31134243714 its reverse (41734243113), we get a palindrome (72868486827).

The spelling of 31134243714 in words is "thirty-one billion, one hundred thirty-four million, two hundred forty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 199 266 354 398 399 413 597 798 826 1121 1194 1239 1393 2242 2478 2786 3323 3363 3781 4179 6646 6726 7562 7847 8358 9969 11343 11741 15694 19938 22686 23261 23482 23541 26467 35223 46522 47082 52934 63137 69783 70446 79401 82187 126274 139566 158802 164374 189411 196057 223079 246561 378822 392114 441959 446158 493122 588171 661277 669237 883918 1176342 1322554 1325877 1338474 1372399 1561553 1983831 2651754 2744798 3123106 3725083 3967662 4117197 4628939 4684659 7450166 8234394 9257878 9369318 11175249 12564263 13886817 22350498 25128526 26075581 27773634 37692789 39015343 52151162 75385578 78030686 78226743 87949841 117046029 156453486 175899682 234092058 263849523 273107401 527699046 546214802 741291517 819322203 1482583034 1638644406 2223874551 4447749102 5189040619 10378081238 15567121857 31134243714