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41214042422322 = 23721115781171869
BaseRepresentation
bin10010101111011111001000…
…10110111011110000110010
312101221000122110221002100120
421113233210112323300302
520400222324330003242
6223353245242431110
711452421251262400
oct1127574426736062
9171830573832316
1041214042422322
111214a860554970
124757683502496
1319cc6101c55b3
14a26aad9a0470
154b711261a1ec
hex257be45bbc32

41214042422322 has 96 divisors (see below), whose sum is σ = 105268876015680. Its totient is φ = 10636761582720.

The previous prime is 41214042422261. The next prime is 41214042422323. The reversal of 41214042422322 is 22322424041214.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41214042422323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40078197 + ... + 41093672.

It is an arithmetic number, because the mean of its divisors is an integer number (1096550791830).

Almost surely, 241214042422322 is an apocalyptic number.

41214042422322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41214042422322 is an abundant number, since it is smaller than the sum of its proper divisors (64054833593358).

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

41214042422322 is a wasteful number, since it uses less digits than its factorization.

41214042422322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81172056 (or 81172049 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 41214042422322 its reverse (22322424041214), we get a palindrome (63536466463536).

The spelling of 41214042422322 in words is "forty-one trillion, two hundred fourteen billion, forty-two million, four hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 157 231 294 314 462 471 539 942 1078 1099 1617 1727 2198 3234 3297 3454 5181 6594 7693 10362 12089 15386 23079 24178 36267 46158 72534 84623 169246 253869 507738 81171869 162343738 243515607 487031214 568203083 892890559 1136406166 1704609249 1785781118 2678671677 3409218498 3977421581 5357343354 6250233913 7954843162 11932264743 12500467826 12743983433 18750701739 23864529486 25487966866 37501403478 38231950299 43751637391 76463900598 87503274782 89207884031 131254912173 140183817763 178415768062 262509824346 267623652093 280367635526 420551453289 535247304186 624455188217 841102906578 981286724341 1248910376434 1873365564651 1962573448682 2943860173023 3746731129302 5887720346046 6869007070387 13738014140774 20607021211161 41214042422322