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41214335011552 = 2531713491167621
BaseRepresentation
bin10010101111011111101011…
…10011000100101011100000
312101221001101212111011022201
421113233311303010223200
520400223424230332202
6223353334253542544
711452431433245253
oct1127576563045340
9171831355434281
1041214335011552
111214a9a072754a
1247577454a4a54
1319cc6589ca211
14a26ada7a509a
154b712d163387
hex257bf5cc4ae0

41214335011552 has 96 divisors (see below), whose sum is σ = 84962694555648. Its totient is φ = 19655791680000.

The previous prime is 41214335011517. The next prime is 41214335011571. The reversal of 41214335011552 is 25511053341214.

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, 245794302 + ... + 245961922.

It is an arithmetic number, because the mean of its divisors is an integer number (885028068288).

Almost surely, 241214335011552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214335011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42481347277824).

41214335011552 is an abundant number, since it is smaller than the sum of its proper divisors (43748359544096).

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

41214335011552 is a wasteful number, since it uses less digits than its factorization.

41214335011552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171224 (or 171216 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 41214335011552 its reverse (25511053341214), we get a palindrome (66725388352766).

The spelling of 41214335011552 in words is "forty-one trillion, two hundred fourteen billion, three hundred thirty-five million, eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 248 284 496 568 992 1136 2201 2272 3491 4402 6982 8804 13964 17608 27928 35216 55856 70432 108221 111712 167621 216442 247861 335242 432884 495722 670484 865768 991444 1340968 1731536 1982888 2681936 3463072 3965776 5196251 5363872 7683691 7931552 10392502 11901091 15367382 20785004 23802182 30734764 41570008 47604364 61469528 83140016 95208728 122939056 166280032 190417456 245878112 368933821 380834912 585164911 737867642 1170329822 1475735284 2340659644 2951470568 4681319288 5902941136 9362638576 11805882272 18140112241 18725277152 36280224482 41546708681 72560448964 83093417362 145120897928 166186834724 290241795856 332373669448 580483591712 664747338896 1287947969111 1329494677792 2575895938222 5151791876444 10303583752888 20607167505776 41214335011552