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41425465332114 = 233311511111314747
BaseRepresentation
bin10010110101101000111100…
…01001010101000110010010
312102200020100220102201021000
421122310132021111012102
520412203323111111424
6224034332425242430
711503614435332403
oct1132643611250622
9172606326381230
1041425465332114
1112221494247286
124790648633416
131a16534c42396
14a33008b9b9aa
154bc88881a3c9
hex25ad1e255192

41425465332114 has 128 divisors (see below), whose sum is σ = 95670563880960. Its totient is φ = 13272461712000.

The previous prime is 41425465332107. The next prime is 41425465332149. The reversal of 41425465332114 is 41123356452414.

41425465332114 is a `hidden beast` number, since 4 + 1 + 4 + 254 + 65 + 3 + 321 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41425465332114.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2809070089 + ... + 2809084835.

It is an arithmetic number, because the mean of its divisors is an integer number (747426280320).

Almost surely, 241425465332114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41425465332114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47835281940480).

41425465332114 is an abundant number, since it is smaller than the sum of its proper divisors (54245098548846).

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

41425465332114 is a wasteful number, since it uses less digits than its factorization.

41425465332114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26053 (or 26047 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 41425465332114 in words is "forty-one trillion, four hundred twenty-five billion, four hundred sixty-five million, three hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 151 186 279 302 453 558 837 906 1359 1674 2718 4077 4681 8154 9362 11113 14043 14747 22226 28086 29494 33339 42129 44241 66678 84258 88482 100017 126387 132723 200034 252774 265446 300051 344503 398169 457157 600102 689006 796338 914314 1033509 1371471 1678063 2067018 2226797 2742942 3100527 3356126 4114413 4453594 5034189 6201054 6680391 8228826 9301581 10068378 12343239 13360782 15102567 18603162 20041173 24686478 30205134 40082346 45307701 52019953 60123519 69030707 90615402 104039906 120247038 138061414 156059859 163883411 207092121 312119718 327766822 414184242 468179577 491650233 621276363 936359154 983300466 1242552726 1404538731 1474950699 1863829089 2809077462 2949901398 3727658178 4424852097 5080385741 8849704194 10160771482 15241157223 24746395061 30482314446 45723471669 49492790122 74239185183 91446943338 137170415007 148478370366 222717555549 274340830014 445435111098 668152666647 767138246891 1336305333294 1534276493782 2301414740673 4602829481346 6904244222019 13808488444038 20712732666057 41425465332114