Search a number
-
+
344423123020002 = 2313237972399100411
BaseRepresentation
bin100111001010000000100000…
…1111001100110100011100010
31200011111112021122011210101210
41032110001001321212203202
5330121012023443120002
63220305444241210550
7132355515032060355
oct11624010171464342
91604445248153353
10344423123020002
119a820031941744
1232767613030a56
1311a24c65808ba0
14610a24d3a629c
1529c4380e3e96c
hex1394041e668e2

344423123020002 has 128 divisors (see below), whose sum is σ = 775390139596800. Its totient is φ = 101198281155840.

The previous prime is 344423123019931. The next prime is 344423123020043. The reversal of 344423123020002 is 200020321324443.

It is a super-2 number, since 2×3444231230200022 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3430083177 + ... + 3430183587.

It is an arithmetic number, because the mean of its divisors is an integer number (6057735465600).

Almost surely, 2344423123020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344423123020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387695069798400).

344423123020002 is an abundant number, since it is smaller than the sum of its proper divisors (430967016576798).

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

344423123020002 is a wasteful number, since it uses less digits than its factorization.

344423123020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103648.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 344423123020002 its reverse (200020321324443), we get a palindrome (544443444344445).

The spelling of 344423123020002 in words is "three hundred forty-four trillion, four hundred twenty-three billion, one hundred twenty-three million, twenty thousand, two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 797 897 1594 1794 2391 2399 4782 4798 7197 10361 14394 18331 20722 31083 31187 36662 54993 55177 62166 62374 93561 100411 109986 110354 165531 187122 200822 238303 301233 331062 476606 602466 714909 717301 1305343 1429818 1434602 1912003 2151903 2309453 2610686 3824006 3916029 4303806 4618906 5736009 6928359 7832058 11472018 13856718 24856039 30022889 43976069 49712078 60045778 74568117 80027567 87952138 90068667 131928207 149136234 160055134 180137334 240082701 240885989 263856414 480165402 481771978 571688897 722657967 1040358371 1143377794 1445315934 1715066691 1840634041 2080716742 3121075113 3131517857 3430133382 3681268082 5521902123 5540377747 6242150226 6263035714 9394553571 11043804246 11080755494 16621133241 18789107142 23928242533 33242266482 47856485066 71784727599 72024910711 143569455198 144049821422 191986133233 216074732133 383972266466 432149464266 575958399699 1151916799398 2495819732029 4415681064359 4991639464058 7487459196087 8831362128718 13247043193077 14974918392174 26494086386154 57403853836667 114807707673334 172211561510001 344423123020002