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3932001412002 = 23317321170241
BaseRepresentation
bin111001001101111101100…
…011000010001110100010
3111220220011221100112012000
4321031331203002032202
51003410214330141002
612210200404144430
7554035442355636
oct71157543021642
914826157315160
103932001412002
111286609321004
1253606b398116
13226a2b201051
14d844a46cdc6
156c43143a61c
hex3937d8c23a2

3932001412002 has 128 divisors (see below), whose sum is σ = 9327912825600. Its totient is φ = 1227705292800.

The previous prime is 3932001411997. The next prime is 3932001412043. The reversal of 3932001412002 is 2002141002393.

It is a happy number.

3932001412002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 55943602 + ... + 56013842.

It is an arithmetic number, because the mean of its divisors is an integer number (72874318950).

Almost surely, 23932001412002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3932001412002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663956412800).

3932001412002 is an abundant number, since it is smaller than the sum of its proper divisors (5395911413598).

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

3932001412002 is a wasteful number, since it uses less digits than its factorization.

3932001412002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70514 (or 70474 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3932001412002 its reverse (2002141002393), we get a palindrome (5934142414395).

The spelling of 3932001412002 in words is "three trillion, nine hundred thirty-two billion, one million, four hundred twelve thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 289 306 422 459 578 633 867 918 1266 1734 1899 2601 3587 3798 4913 5202 5697 7174 7803 9826 10761 11394 14739 15606 21522 29478 32283 44217 60979 64566 70241 88434 96849 121958 132651 140482 182937 193698 210723 265302 365874 421446 548811 632169 1036643 1097622 1194097 1264338 1646433 1896507 2073286 2388194 3109929 3292866 3582291 3793014 6219858 7164582 9329787 10746873 14820851 18659574 20299649 21493746 27989361 29641702 32240619 40599298 44462553 55978722 60898947 64481238 88925106 121797894 133387659 182696841 251954467 266775318 345094033 365393682 400162977 503908934 548090523 690188066 755863401 800325954 1035282099 1096181046 1511726802 2070564198 2267590203 3105846297 4283225939 4535180406 6211692594 6802770609 8566451878 9317538891 12849677817 13605541218 18635077782 25699355634 38549033451 72814840963 77098066902 115647100353 145629681926 218444522889 231294200706 436889045778 655333568667 1310667137334 1966000706001 3932001412002