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1420040314110 = 23511109125931357
BaseRepresentation
bin10100101010100000111…
…111111001110011111110
312000202101001101020021210
4110222200333321303332
5141231220310022420
63004205120105250
7204410631340545
oct24524077716376
95022331336253
101420040314110
114a8265811960
121ab268765226
13a3ba87582c2
144ca31dc715c
1526e126e09e0
hex14aa0ff9cfe

1420040314110 has 128 divisors (see below), whose sum is σ = 3755133043200. Its totient is φ = 340812126720.

The previous prime is 1420040314103. The next prime is 1420040314117. The reversal of 1420040314110 is 114130400241.

It is an interprime number because it is at equal distance from previous prime (1420040314103) and next prime (1420040314117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420040314117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45270552 + ... + 45301908.

It is an arithmetic number, because the mean of its divisors is an integer number (29336976900).

Almost surely, 21420040314110 is an apocalyptic number.

1420040314110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420040314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877566521600).

1420040314110 is an abundant number, since it is smaller than the sum of its proper divisors (2335092729090).

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

1420040314110 is a wasteful number, since it uses less digits than its factorization.

1420040314110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32746.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1420040314110 its reverse (114130400241), we get a palindrome (1534170714351).

The spelling of 1420040314110 in words is "one trillion, four hundred twenty billion, forty million, three hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 109 110 165 218 327 330 545 654 1090 1199 1259 1635 2398 2518 3270 3597 3777 5995 6295 7194 7554 11990 12590 13849 17985 18885 27698 31357 35970 37770 41547 62714 69245 83094 94071 137231 138490 156785 188142 207735 274462 313570 344927 411693 415470 470355 686155 689854 823386 940710 1034781 1372310 1509541 1724635 2058465 2069562 3019082 3417913 3449270 4116930 4528623 5173905 6835826 7547705 9057246 10253739 10347810 15095410 17089565 20507478 22643115 34179130 37597043 39478463 45286230 51268695 75194086 78956926 102537390 112791129 118435389 187985215 197392315 225582258 236870778 375970430 394784630 434263093 563955645 592176945 868526186 1127911290 1184353890 1302789279 2171315465 2605578558 4303152467 4342630930 6513946395 8606304934 12909457401 13027892790 21515762335 25818914802 43031524670 47334677137 64547287005 94669354274 129094574010 142004031411 236673385685 284008062822 473346771370 710020157055 1420040314110