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41013211223440 = 245737022810141
BaseRepresentation
bin10010101001101001000011…
…11000101101010110010000
312101012211021012121010100101
421110310201320231112100
520333430024033122230
6223121113101102144
711432051415251131
oct1124644170552620
9171184235533311
1041013211223440
1112082672583745
124724775557954
1319b66b591b981
14a1b09b351c88
154b1cab209aca
hex254d21e2d590

41013211223440 has 40 divisors (see below), whose sum is σ = 96661958794488. Its totient is φ = 16180554562560.

The previous prime is 41013211223359. The next prime is 41013211223459. The reversal of 41013211223440 is 4432211231014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11401373534464 + 29611837688976 = 3376592^2 + 5441676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 41013211223399 and 41013211223408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3511399231 + ... + 3511410910.

Almost surely, 241013211223440 is an apocalyptic number.

41013211223440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41013211223440 is an abundant number, since it is smaller than the sum of its proper divisors (55648747571048).

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

41013211223440 is a wasteful number, since it uses less digits than its factorization.

41013211223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022810227 (or 7022810221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 41013211223440 its reverse (4432211231014), we get a palindrome (45445422454454).

The spelling of 41013211223440 in words is "forty-one trillion, thirteen billion, two hundred eleven million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7022810141 14045620282 28091240564 35114050705 56182481128 70228101410 112364962256 140456202820 280912405640 512665140293 561824811280 1025330280586 2050660561172 2563325701465 4101321122344 5126651402930 8202642244688 10253302805860 20506605611720 41013211223440