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4023233220340 = 22519671279123551
BaseRepresentation
bin111010100010111011011…
…000110000111011110100
3112020121200001002120200101
4322202323120300323310
51011404040201022330
612320125310323444
7563445320060305
oct72427330607364
915217601076611
104023233220340
1113112752a3a14
1254b8907b9584
1323250a2a38a9
14dca22bba7ac
156e9c09d74ca
hex3a8bb630ef4

4023233220340 has 96 divisors (see below), whose sum is σ = 9033331507200. Its totient is φ = 1500652137600.

The previous prime is 4023233220301. The next prime is 4023233220379. The reversal of 4023233220340 is 430223323204.

It is an interprime number because it is at equal distance from previous prime (4023233220301) and next prime (4023233220379).

It is a junction number, because it is equal to n+sod(n) for n = 4023233220299 and 4023233220308.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32501565 + ... + 32625115.

It is an arithmetic number, because the mean of its divisors is an integer number (94097203200).

Almost surely, 24023233220340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023233220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516665753600).

4023233220340 is an abundant number, since it is smaller than the sum of its proper divisors (5010098286860).

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

4023233220340 is a wasteful number, since it uses less digits than its factorization.

4023233220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124925 (or 124923 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 4023233220340 its reverse (430223323204), we get a palindrome (4453456543544).

The spelling of 4023233220340 in words is "four trillion, twenty-three billion, two hundred thirty-three million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1279 1340 2546 2558 5092 5116 6365 6395 12730 12790 24301 25460 25580 48602 85693 97204 121505 123551 171386 243010 247102 342772 428465 486020 494204 617755 856930 1235510 1628167 1713860 2347469 2471020 3256334 4694938 6512668 8140835 8277917 9389876 11737345 16281670 16555834 23474690 32563340 33111668 41389585 46949380 82779170 157280423 158021729 165558340 314560846 316043458 629121692 632086916 786402115 790108645 1572804230 1580217290 3002412851 3145608460 3160434580 6004825702 10587455843 12009651404 15012064255 21174911686 30024128510 42349823372 52937279215 60048257020 105874558430 201161661017 211749116860 402323322034 804646644068 1005808305085 2011616610170 4023233220340