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400226322061040 = 24517325190521089
BaseRepresentation
bin101101100000000001111001…
…1110000011001011011110000
31221111002021002112011001020212
41123000003303300121123300
5404424302001421423130
63535113233434123252
7150205253234463146
oct13300036360313360
91844067075131225
10400226322061040
11106585036a19952
1238a7a661580528
1314242245c63977
1470b90b34d7596
153140c12371e95
hex16c00f3c196f0

400226322061040 has 80 divisors (see below), whose sum is σ = 985566109508640. Its totient is φ = 150627090432000.

The previous prime is 400226322061021. The next prime is 400226322061043. The reversal of 400226322061040 is 40160223622004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4002263220610402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400226322060988 and 400226322061006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400226322061043) 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, 40839185 + ... + 49681904.

It is an arithmetic number, because the mean of its divisors is an integer number (12319576368858).

Almost surely, 2400226322061040 is an apocalyptic number.

400226322061040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400226322061040 is an abundant number, since it is smaller than the sum of its proper divisors (585339787447600).

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

400226322061040 is a wasteful number, since it uses less digits than its factorization.

400226322061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90524370 (or 90524364 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 400226322061040 its reverse (40160223622004), we get a palindrome (440386545683044).

The spelling of 400226322061040 in words is "four hundred trillion, two hundred twenty-six billion, three hundred twenty-two million, sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3251 6502 13004 16255 26008 32510 52016 55267 65020 110534 130040 221068 260080 276335 442136 552670 884272 1105340 2210680 4421360 90521089 181042178 362084356 452605445 724168712 905210890 1448337424 1538858513 1810421780 3077717026 3620843560 6155434052 7241687120 7694292565 12310868104 15388585130 24621736208 30777170260 61554340520 123108681040 294284060339 588568120678 1177136241356 1471420301695 2354272482712 2942840603390 4708544965424 5002829025763 5885681206780 10005658051526 11771362413560 20011316103052 23542724827120 25014145128815 40022632206104 50028290257630 80045264412208 100056580515260 200113161030520 400226322061040