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41334014100340 = 22513376142269869
BaseRepresentation
bin10010110010111110100110…
…01110100100001101110100
312102100111022111210210101201
421121133103032210031310
520404204030102202330
6223524330044102244
711464166254565413
oct1131372316441564
9172314274723351
1041334014100340
1112196725425295
124776985834984
131a0aa1c5746a0
14a2c81125347a
154ba2d4d78eca
hex2597d33a4374

41334014100340 has 48 divisors (see below), whose sum is σ = 93503319552720. Its totient is φ = 15257731553280.

The previous prime is 41334014100319. The next prime is 41334014100373. The reversal of 41334014100340 is 4300141043314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 65133164944 + 41268880935396 = 255212^2 + 6424086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41334014100299 and 41334014100308.

It is a congruent number.

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, 20157075 + ... + 22112794.

It is an arithmetic number, because the mean of its divisors is an integer number (1947985824015).

Almost surely, 241334014100340 is an apocalyptic number.

It is an amenable number.

41334014100340 is an abundant number, since it is smaller than the sum of its proper divisors (52169305452380).

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

41334014100340 is a wasteful number, since it uses less digits than its factorization.

41334014100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42273652 (or 42273650 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 41334014100340 its reverse (4300141043314), we get a palindrome (45634155143654).

The spelling of 41334014100340 in words is "forty-one trillion, three hundred thirty-four billion, fourteen million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3761 7522 15044 18805 37610 48893 75220 97786 195572 244465 488930 977860 42269869 84539738 169079476 211349345 422698690 549508297 845397380 1099016594 2198033188 2747541485 5495082970 10990165940 158976977309 317953954618 635907909236 794884886545 1589769773090 2066700705017 3179539546180 4133401410034 8266802820068 10333503525085 20667007050170 41334014100340