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41222132123430 = 2353122749520129
BaseRepresentation
bin10010101111101110001101…
…00010101100011100100110
312101221210112021010111001010
421113313012202230130212
520400340411310422210
6223401104105043050
711453125601511666
oct1127670642543446
9171853467114033
1041222132123430
1112153231a1a065
124759160786486
131a002cc1b459b
14a2723a1381a6
154b7437933920
hex257dc68ac726

41222132123430 has 96 divisors (see below), whose sum is σ = 102264839820000. Its totient is φ = 10634079375360.

The previous prime is 41222132123401. The next prime is 41222132123489. The reversal of 41222132123430 is 3432123122214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78993606 + ... + 79513734.

It is an arithmetic number, because the mean of its divisors is an integer number (1065258748125).

Almost surely, 241222132123430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41222132123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51132419910000).

41222132123430 is an abundant number, since it is smaller than the sum of its proper divisors (61042707696570).

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

41222132123430 is a wasteful number, since it uses less digits than its factorization.

41222132123430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522950 (or 522919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 41222132123430 its reverse (3432123122214), we get a palindrome (44654255245644).

The spelling of 41222132123430 in words is "forty-one trillion, two hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2749 2883 4805 5498 5766 8247 9610 13745 14415 16494 27490 28830 41235 82470 85219 170438 255657 426095 511314 520129 852190 1040258 1278285 1560387 2556570 2600645 2641789 3120774 5201290 5283578 7801935 7925367 13208945 15603870 15850734 16123999 26417890 32247998 39626835 48371997 79253670 80619995 96743994 161239990 241859985 483719970 499843969 999687938 1429834621 1499531907 2499219845 2859669242 2999063814 4289503863 4998439690 7149173105 7497659535 8579007726 14298346210 14995319070 21447519315 42895038630 44324873251 88649746502 132974619753 221624366255 265949239506 443248732510 664873098765 1329746197530 1374071070781 2748142141562 4122213212343 6870355353905 8244426424686 13740710707810 20611066061715 41222132123430