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451414021422 = 237131769170381
BaseRepresentation
bin1101001000110100101…
…11110101010100101110
31121011011211010021100110
412210122113311110232
524343443442141142
6543213213040450
744420313605130
oct6443227652456
91534154107313
10451414021422
111644974a06a1
12735a1786126
1333750328920
1417bc4615050
15bb204a299c
hex691a5f552e

451414021422 has 128 divisors (see below), whose sum is σ = 1178255490048. Its totient is φ = 111887308800.

The previous prime is 451414021391. The next prime is 451414021441. The reversal of 451414021422 is 224120414154.

It is a self number, because there is not a number n which added to its sum of digits gives 451414021422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6378672 + ... + 6449052.

It is an arithmetic number, because the mean of its divisors is an integer number (9205121016).

Almost surely, 2451414021422 is an apocalyptic number.

451414021422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 451414021422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589127745024).

451414021422 is an abundant number, since it is smaller than the sum of its proper divisors (726841468626).

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

451414021422 is a wasteful number, since it uses less digits than its factorization.

451414021422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71114.

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 451414021422 its reverse (224120414154), we get a palindrome (675534435576).

The spelling of 451414021422 in words is "four hundred fifty-one billion, four hundred fourteen million, twenty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 691 714 1326 1382 1547 2073 3094 4146 4641 4837 8983 9282 9674 11747 14511 17966 23494 26949 29022 35241 53898 62881 70381 70482 82229 125762 140762 152711 164458 188643 211143 246687 305422 377286 422286 458133 492667 493374 914953 916266 985334 1068977 1196477 1478001 1829906 2137954 2392954 2744859 2956002 3206931 3589431 5489718 6404671 6413862 7178862 8375339 12809342 15554201 16750678 19214013 25126017 31108402 38428026 46662603 48633271 50252034 93325206 97266542 108879407 145899813 217758814 291799626 326638221 340432897 632232523 653276442 680865794 826765607 1021298691 1264465046 1653531214 1896697569 2042597382 2480296821 3793395138 4425627661 4960593642 5787359249 8851255322 10747952891 11574718498 13276882983 17362077747 21495905782 26553765966 32243858673 34724155494 64487717346 75235670237 150471340474 225707010711 451414021422