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334120023042 = 231343595712957
BaseRepresentation
bin1001101110010110001…
…10101111010000000010
31011221102101202210020020
410313023012233100002
520433234211214132
6413254223354310
733065543223231
oct4671306572002
91157371683206
10334120023042
11119777051653
1254908152996
1325679949960
1412258824b18
158a57d6a52c
hex4dcb1af402

334120023042 has 128 divisors (see below), whose sum is σ = 750425195520. Its totient is φ = 98507162880.

The previous prime is 334120023031. The next prime is 334120023043. The reversal of 334120023042 is 240320021433.

It is a super-2 number, since 2×3341200230422 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334120023043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112991428 + ... + 112994384.

It is an arithmetic number, because the mean of its divisors is an integer number (5862696840).

Almost surely, 2334120023042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334120023042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375212597760).

334120023042 is an abundant number, since it is smaller than the sum of its proper divisors (416305172478).

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

334120023042 is a wasteful number, since it uses less digits than its factorization.

334120023042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 334120023042 its reverse (240320021433), we get a palindrome (574440044475).

The spelling of 334120023042 in words is "three hundred thirty-four billion, one hundred twenty million, twenty-three thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 43 59 78 86 118 129 177 258 354 559 571 767 1118 1142 1534 1677 1713 2301 2537 2957 3354 3426 4602 5074 5914 7423 7611 8871 14846 15222 17742 22269 24553 32981 33689 38441 44538 49106 65962 67378 73659 76882 98943 101067 115323 127151 147318 174463 197886 202134 230646 254302 319189 348926 381453 437957 523389 638378 762906 875914 957567 1046778 1313871 1448627 1652963 1688447 1915134 2268019 2627742 2897254 3305926 3376894 4345881 4536038 4958889 5065341 6804057 7501909 8691762 9917778 10130682 13608114 15003818 18832151 21949811 22505727 37664302 43899622 45011454 56496453 65849433 72603221 97524817 99618373 112992906 131698866 145206442 195049634 199236746 217809663 292574451 298855119 435619326 585148902 597710238 943841873 1295038849 1887683746 2590077698 2831525619 3885116547 4283590039 5663051238 7770233094 8567180078 12850770117 25701540234 55686670507 111373341014 167060011521 334120023042