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3413104000000 = 21056213319
BaseRepresentation
bin110001101010101100110…
…110011111110000000000
3110002021211002022211002021
4301222230312133300000
5421410014111000000
611131542555531224
7501405620214532
oct61525466376000
913067732284067
103413104000000
1110a6542257242
12471595759b14
131b9b14c542a6
14bb2a3577852
155dbb178411a
hex31aacd9fc00

3413104000000 has 154 divisors (see below), whose sum is σ = 8528524427240. Its totient is φ = 1365235200000.

The previous prime is 3413103999983. The next prime is 3413104000003. The reversal of 3413104000000 is 4013143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413104000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15893341 + ... + 16106659.

Almost surely, 23413104000000 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 3413104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264262213620).

3413104000000 is an abundant number, since it is smaller than the sum of its proper divisors (5115420427240).

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

3413104000000 is an frugal number, since it uses more digits than its factorization.

3413104000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213369 (or 213326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 3413104000000 its reverse (4013143), we get a palindrome (3413108013143).

The spelling of 3413104000000 in words is "three trillion, four hundred thirteen billion, one hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 62500 64000 80000 100000 125000 128000 160000 200000 213319 250000 320000 400000 426638 500000 640000 800000 853276 1000000 1066595 1600000 1706552 2000000 2133190 3200000 3413104 4000000 4266380 5332975 6826208 8000000 8532760 10665950 13652416 16000000 17065520 21331900 26664875 27304832 34131040 42663800 53329750 54609664 68262080 85327600 106659500 109219328 133324375 136524160 170655200 213319000 218438656 266648750 273048320 341310400 426638000 533297500 546096640 666621875 682620800 853276000 1066595000 1092193280 1333243750 1365241600 1706552000 2133190000 2666487500 2730483200 3333109375 3413104000 4266380000 5332975000 5460966400 6666218750 6826208000 8532760000 10665950000 13332437500 13652416000 17065520000 21331900000 26664875000 27304832000 34131040000 42663800000 53329750000 68262080000 85327600000 106659500000 136524160000 170655200000 213319000000 341310400000 426638000000 682620800000 853276000000 1706552000000 3413104000000