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29144120294412 = 2234379725062967
BaseRepresentation
bin1101010000001101001001…
…11011111111110000001100
310211012011001212000212010000
412220012210323333300030
512304444124243410122
6141552342442444300
76065410320051504
oct650064473776014
9124164055025100
1029144120294412
119316a521364a2
1233283aab03690
131335381555036
1472a82387aa04
1535818ad6c0ac
hex1a81a4effc0c

29144120294412 has 120 divisors (see below), whose sum is σ = 79054315428704. Its totient is φ = 9354701933568.

The previous prime is 29144120294411. The next prime is 29144120294441. The reversal of 29144120294412 is 21449202144192.

29144120294412 is a `hidden beast` number, since 2 + 9 + 144 + 1 + 2 + 0 + 2 + 94 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (29144120294411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11368648 + ... + 13694319.

Almost surely, 229144120294412 is an apocalyptic number.

It is an amenable number.

29144120294412 is an abundant number, since it is smaller than the sum of its proper divisors (49910195134292).

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

29144120294412 is a wasteful number, since it uses less digits than its factorization.

29144120294412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25063117 (or 25063106 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 29144120294412 in words is "twenty-nine trillion, one hundred forty-four billion, one hundred twenty million, two hundred ninety-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 97 108 111 148 162 194 222 291 324 333 388 444 582 666 873 999 1164 1332 1746 1998 2619 2997 3492 3589 3996 5238 5994 7178 7857 10476 10767 11988 14356 15714 21534 31428 32301 43068 64602 96903 129204 193806 290709 387612 581418 1162836 25062967 50125934 75188901 100251868 150377802 225566703 300755604 451133406 676700109 902266812 927329779 1353400218 1854659558 2030100327 2431107799 2706800436 2781989337 3709319116 4060200654 4862215598 5563978674 7293323397 8120401308 8345968011 9724431196 11127957348 14586646794 16691936022 21879970191 25037904033 29173293588 33383872044 43759940382 50075808066 65639910573 75113712099 87519880764 89950988563 100151616132 131279821146 150227424198 179901977126 196919731719 262559642292 269852965689 300454848396 359803954252 393839463438 539705931378 787678926876 809558897067 1079411862756 1619117794134 2428676691201 3238235588268 4857353382402 7286030073603 9714706764804 14572060147206 29144120294412