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3323114001240 = 23351121131191439
BaseRepresentation
bin110000010110111001000…
…001111001001101011000
3102202200112112021020002020
4300112321001321031120
5413421214141014430
611022341213534440
7462041601644235
oct60267101711530
912680475236066
103323114001240
111071363247240
124580601a4420
131b14a3224307
14b6ba7b2078c
155b696230b10
hex305b9079358

3323114001240 has 128 divisors (see below), whose sum is σ = 10880801971200. Its totient is φ = 805221457920.

The previous prime is 3323114001191. The next prime is 3323114001253. The reversal of 3323114001240 is 421004113233.

It is a happy number.

It is a super-2 number, since 2×33231140012402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3323114001240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193441 + ... + 3384879.

It is an arithmetic number, because the mean of its divisors is an integer number (85006265400).

Almost surely, 23323114001240 is an apocalyptic number.

3323114001240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3323114001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440400985600).

3323114001240 is an abundant number, since it is smaller than the sum of its proper divisors (7557687969960).

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

3323114001240 is a wasteful number, since it uses less digits than its factorization.

3323114001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193577 (or 1193573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3323114001240 its reverse (421004113233), we get a palindrome (3744118114473).

The spelling of 3323114001240 in words is "three trillion, three hundred twenty-three billion, one hundred fourteen million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2113 4226 6339 8452 10565 12678 16904 21130 23243 25356 31695 42260 46486 50712 63390 69729 84520 92972 116215 126780 139458 185944 232430 253560 278916 348645 464860 557832 697290 929720 1191439 1394580 2382878 2789160 3574317 4765756 5957195 7148634 9531512 11914390 13105829 14297268 17871585 23828780 26211658 28594536 35743170 39317487 47657560 52423316 65529145 71486340 78634974 104846632 131058290 142972680 157269948 196587435 262116580 314539896 393174870 524233160 786349740 1572699480 2517510607 5035021214 7552531821 10070042428 12587553035 15105063642 20140084856 25175106070 27692616677 30210127284 37762659105 50350212140 55385233354 60420254568 75525318210 83077850031 100700424280 110770466708 138463083385 151050636420 166155700062 221540933416 276926166770 302101272840 332311400124 415389250155 553852333540 664622800248 830778500310 1107704667080 1661557000620 3323114001240