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1244127276420 = 2235723037139339
BaseRepresentation
bin10010000110101011110…
…000111010110110000100
311101221022100222000100120
4102012223300322312010
5130340433040321140
62351313313141540
7155612430235500
oct22065360726604
94357270860316
101244127276420
1143a6a445aa86
1218115385a8b0
1390422762862
1444304cdb300
1522568bd91d0
hex121abc3ad84

1244127276420 has 144 divisors (see below), whose sum is σ = 4053663673920. Its totient is φ = 284276272896.

The previous prime is 1244127276389. The next prime is 1244127276421. The reversal of 1244127276420 is 246727214421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1244127276421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8859111 + ... + 8998449.

It is an arithmetic number, because the mean of its divisors is an integer number (28150442180).

Almost surely, 21244127276420 is an apocalyptic number.

1244127276420 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 1244127276420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026831836960).

1244127276420 is an abundant number, since it is smaller than the sum of its proper divisors (2809536397500).

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

1244127276420 is a wasteful number, since it uses less digits than its factorization.

1244127276420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142402 (or 142393 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 1244127276420 in words is "one trillion, two hundred forty-four billion, one hundred twenty-seven million, two hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3037 6074 9111 12148 15185 18222 21259 30370 36444 42518 45555 60740 63777 85036 91110 106295 127554 139339 148813 182220 212590 255108 278678 297626 318885 418017 425180 446439 557356 595252 637770 696695 744065 836034 892878 975373 1275540 1393390 1488130 1672068 1785756 1950746 2090085 2232195 2786780 2926119 2976260 3901492 4180170 4464390 4876865 5852238 6827611 8360340 8928780 9753730 11704476 13655222 14630595 19507460 20482833 27310444 29261190 34138055 40965666 58522380 68276110 81931332 102414165 136552220 204828330 409656660 423172543 846345086 1269517629 1692690172 2115862715 2539035258 2962207801 4231725430 5078070516 5924415602 6347588145 8463450860 8886623403 11848831204 12695176290 14811039005 17773246806 20735454607 25390352580 29622078010 35546493612 41470909214 44433117015 59244156020 62206363821 82941818428 88866234030 103677273035 124412727642 177732468060 207354546070 248825455284 311031819105 414709092140 622063638210 1244127276420