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41122212144432 = 24310871709946093
BaseRepresentation
bin10010101100110100000101…
…10110001110010100110000
312101121020121200001121222020
421112122002312032110300
520342221242302110212
6223243141121111440
711442660515634606
oct1126320266162460
9171536550047866
1041122212144432
1112114917779a21
124741915788580
1319c3a67141963
14a2247b987876
154b4a3a753d8c
hex256682d8e530

41122212144432 has 80 divisors (see below), whose sum is σ = 106338636748800. Its totient is φ = 13693695734016.

The previous prime is 41122212144421. The next prime is 41122212144551. The reversal of 41122212144432 is 23444121222114.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41122212144393 and 41122212144402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892134378 + ... + 892180470.

It is an arithmetic number, because the mean of its divisors is an integer number (1329232959360).

Almost surely, 241122212144432 is an apocalyptic number.

It is an amenable number.

41122212144432 is an abundant number, since it is smaller than the sum of its proper divisors (65216424604368).

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

41122212144432 is a wasteful number, since it uses less digits than its factorization.

41122212144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64290 (or 64284 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 41122212144432 its reverse (23444121222114), we get a palindrome (64566333366546).

The spelling of 41122212144432 in words is "forty-one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1087 2174 3261 4348 6522 8696 13044 17099 17392 26088 34198 46093 51297 52176 68396 92186 102594 136792 138279 184372 205188 273584 276558 368744 410376 553116 737488 820752 1106232 2212464 18586613 37173226 50103091 55759839 74346452 100206182 111519678 148692904 150309273 200412364 223039356 297385808 300618546 400824728 446078712 601237092 788144207 801649456 892157424 1202474184 1576288414 2364432621 2404948368 3152576828 4728865242 6305153656 9457730484 12610307312 18915460968 37830921936 856712753009 1713425506018 2570138259027 3426851012036 5140276518054 6853702024072 10280553036108 13707404048144 20561106072216 41122212144432