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4122041008085 = 57111329311232503
BaseRepresentation
bin111011111110111100110…
…010100011111111010101
3112121001201010101021011122
4323332330302203333111
51020013414444224320
612433350044213325
7603544006314320
oct73767462437725
915531633337148
104122041008085
11134a169762330
12566a6723a245
1323b925ab77a0
141037177777b7
1572355223d25
hex3bfbcca3fd5

4122041008085 has 128 divisors (see below), whose sum is σ = 6672652148736. Its totient is φ = 2360779914240.

The previous prime is 4122041008027. The next prime is 4122041008091. The reversal of 4122041008085 is 5808001402214.

It is not a de Polignac number, because 4122041008085 - 28 = 4122041007829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1646838944 + ... + 1646841446.

It is an arithmetic number, because the mean of its divisors is an integer number (52130094912).

Almost surely, 24122041008085 is an apocalyptic number.

It is an amenable number.

4122041008085 is a deficient number, since it is larger than the sum of its proper divisors (2550611140651).

4122041008085 is a wasteful number, since it uses less digits than its factorization.

4122041008085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955.

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 4122041008085 in words is "four trillion, one hundred twenty-two billion, forty-one million, eight thousand, eighty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 293 385 455 715 1001 1123 1465 2051 2503 3223 3809 5005 5615 7861 10255 12353 12515 14599 16115 17521 19045 22561 26663 27533 32539 39305 41899 61765 72995 86471 87605 102193 112805 133315 137665 160589 162695 192731 209495 227773 293293 329039 357929 432355 510965 733379 802945 963655 1124123 1138865 1466465 1645195 1789645 2303273 2505503 2810869 3619429 3666895 4277507 5133653 5620615 8067169 9533927 11516365 12527515 14054345 18097145 19676083 21387535 25336003 25668265 29942549 30919559 36541297 40335845 47052577 47669635 56470183 66737489 98380415 104873197 126680015 149712745 154597795 182706485 216436913 235262885 255789079 282350915 329368039 333687445 401954267 524365985 734112379 823584617 1082184565 1278945395 1646840195 2009771335 2813679869 3670561895 4117923085 5765092319 9059430787 10706600021 14068399345 28825461595 45297153935 53533000105 63416015509 74946200147 117772600231 317080077545 374731000735 588863001155 824408201617 4122041008085