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2343001404114 = 233722921052899
BaseRepresentation
bin100010000110000101110…
…001000011001011010010
322021222200210111112122000
4202012011301003023102
5301341431324412424
64552205431254430
7331163521222500
oct42060561031322
98258623445560
102343001404114
11823730235498
1231a10a51a416
1313cc371cbba7
148158aa4d670
1540e308e33c9
hex22185c432d2

2343001404114 has 144 divisors (see below), whose sum is σ = 6272799156000. Its totient is φ = 646344601056.

The previous prime is 2343001404091. The next prime is 2343001404127. The reversal of 2343001404114 is 4114041003432.

2343001404114 is a `hidden beast` number, since 234 + 3 + 0 + 0 + 14 + 0 + 411 + 4 = 666.

It is a super-2 number, since 2×23430014041142 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1698837 + ... + 2751735.

It is an arithmetic number, because the mean of its divisors is an integer number (43561105250).

Almost surely, 22343001404114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343001404114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136399578000).

2343001404114 is an abundant number, since it is smaller than the sum of its proper divisors (3929797751886).

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

2343001404114 is a wasteful number, since it uses less digits than its factorization.

2343001404114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052982 (or 1052940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2343001404114 its reverse (4114041003432), we get a palindrome (6457042407546).

The spelling of 2343001404114 in words is "two trillion, three hundred forty-three billion, one million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 841 882 1218 1323 1421 1566 1682 1827 2523 2646 2842 3654 4263 5046 5481 5887 7569 8526 10962 11774 12789 15138 17661 22707 25578 35322 38367 41209 45414 52983 76734 82418 105966 123627 158949 247254 317898 370881 741762 1052899 1112643 2105798 2225286 3158697 6317394 7370293 9476091 14740586 18952182 22110879 28428273 30534071 44221758 51592051 56856546 61068142 66332637 91602213 103184102 132665274 154776153 183204426 198997911 213738497 274806639 309552306 397995822 427476994 464328459 549613278 641215491 824419917 885488059 928656918 1282430982 1392985377 1496169479 1648839834 1770976118 1923646473 2656464177 2785970754 2992338958 3847292946 4488508437 5312928354 5770939419 6198416413 7969392531 8977016874 11541878838 12396832826 13465525311 15938785062 18595249239 23908177593 26931050622 37190498478 40396575933 43388914891 47816355186 55785747717 80793151866 86777829782 111571495434 130166744673 167357243151 260333489346 334714486302 390500234019 781000468038 1171500702057 2343001404114