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1421274714240 = 27354211758307
BaseRepresentation
bin10100101011101010100…
…100110001000010000000
312000212120002010020221010
4110223222210301002000
5141241232311323430
63004531413400520
7204453340512003
oct24535244610200
95025502106833
101421274714240
114a8839583a57
121ab552039140
13a4044405494
144cb0bd0d53a
1526e85c73cb0
hex14aea931080

1421274714240 has 128 divisors (see below), whose sum is σ = 4541076573120. Its totient is φ = 378106122240.

The previous prime is 1421274714229. The next prime is 1421274714247. The reversal of 1421274714240 is 424174721241.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1421274714247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70834 + ... + 1687473.

Almost surely, 21421274714240 is an apocalyptic number.

1421274714240 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 1421274714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270538286560).

1421274714240 is an abundant number, since it is smaller than the sum of its proper divisors (3119801858880).

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

1421274714240 is a wasteful number, since it uses less digits than its factorization.

1421274714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758750 (or 1758738 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 1421274714240 in words is "one trillion, four hundred twenty-one billion, two hundred seventy-four million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 421 480 640 842 960 1263 1684 1920 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 13472 16840 20208 25260 26944 33680 40416 50520 53888 67360 80832 101040 134720 161664 202080 269440 404160 808320 1758307 3516614 5274921 7033228 8791535 10549842 14066456 17583070 21099684 26374605 28132912 35166140 42199368 52749210 56265824 70332280 84398736 105498420 112531648 140664560 168797472 210996840 225063296 281329120 337594944 421993680 562658240 675189888 740247247 843987360 1125316480 1480494494 1687974720 2220741741 2960988988 3375949440 3701236235 4441483482 5921977976 7402472470 8882966964 11103708705 11843955952 14804944940 17765933928 22207417410 23687911904 29609889880 35531867856 44414834820 47375823808 59219779760 71063735712 88829669640 94751647616 118439559520 142127471424 177659339280 236879119040 284254942848 355318678560 473758238080 710637357120 1421274714240