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1300404143000 = 235325114093677
BaseRepresentation
bin10010111011000110001…
…000001000001110011000
311121022120101211001012102
4102323012020020032120
5132301211430034000
62433221501502532
7162644140560014
oct22730610101630
94538511731172
101300404143000
11461553267876
1219003a871a48
1395820a59701
1446d2310b544
1523c5e6563d5
hex12ec6208398

1300404143000 has 128 divisors (see below), whose sum is σ = 3058068686400. Its totient is φ = 517580800000.

The previous prime is 1300404142997. The next prime is 1300404143029. The reversal of 1300404143000 is 3414040031.

It is a happy number.

It is a super-3 number, since 3×13004041430003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353657162 + ... + 353660838.

Almost surely, 21300404143000 is an apocalyptic number.

1300404143000 is a gapful number since it is divisible by the number (10) 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 1300404143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529034343200).

1300404143000 is an abundant number, since it is smaller than the sum of its proper divisors (1757664543400).

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

1300404143000 is a wasteful number, since it uses less digits than its factorization.

1300404143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1300404143000 its reverse (3414040031), we get a palindrome (1303818183031).

The spelling of 1300404143000 in words is "one trillion, three hundred billion, four hundred four million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 251 500 502 1000 1004 1255 1409 2008 2510 2818 3677 5020 5636 6275 7045 7354 10040 11272 12550 14090 14708 18385 25100 28180 29416 31375 35225 36770 50200 56360 62750 70450 73540 91925 125500 140900 147080 176125 183850 251000 281800 352250 353659 367700 459625 704500 707318 735400 919250 922927 1409000 1414636 1768295 1838500 1845854 2829272 3536590 3677000 3691708 4614635 5180893 7073180 7383416 8841475 9229270 10361786 14146360 17682950 18458540 20723572 23073175 25904465 35365900 36917080 41447144 44207375 46146350 51808930 70731800 88414750 92292700 103617860 115365875 129522325 176829500 184585400 207235720 230731750 259044650 353659000 461463500 518089300 647611625 922927000 1036178600 1295223250 1300404143 2590446500 2600808286 5180893000 5201616572 6502020715 10403233144 13004041430 26008082860 32510103575 52016165720 65020207150 130040414300 162550517875 260080828600 325101035750 650202071500 1300404143000