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1405022032036 = 2273147187918329
BaseRepresentation
bin10100011100100001110…
…101101101000010100100
311222022121101211110022101
4110130201311231002210
5141004441120011121
62553242550141444
7203336520135610
oct24344165550244
94868541743271
101405022032036
114a1959343297
121a8377051884
13a26541aaa6c
144c0095a4340
1526833eb9491
hex14721d6d0a4

1405022032036 has 96 divisors (see below), whose sum is σ = 2964145766400. Its totient is φ = 569994935040.

The previous prime is 1405022031997. The next prime is 1405022032039. The reversal of 1405022032036 is 6302302205041.

It is a super-3 number, since 3×14050220320363 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1405022031995 and 1405022032013.

It is not an unprimeable number, because it can be changed into a prime (1405022032039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76646520 + ... + 76664848.

It is an arithmetic number, because the mean of its divisors is an integer number (30876518400).

Almost surely, 21405022032036 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 1405022032036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482072883200).

1405022032036 is an abundant number, since it is smaller than the sum of its proper divisors (1559123734364).

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

1405022032036 is a wasteful number, since it uses less digits than its factorization.

1405022032036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20297 (or 20295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1405022032036 its reverse (6302302205041), we get a palindrome (7707324237077).

The spelling of 1405022032036 in words is "one trillion, four hundred five billion, twenty-two million, thirty-two thousand, thirty-six".

Divisors: 1 2 4 7 14 28 31 47 62 94 124 188 217 329 434 658 868 1316 1457 1879 2914 3758 5828 7516 10199 13153 18329 20398 26306 36658 40796 52612 58249 73316 88313 116498 128303 176626 232996 256606 353252 407743 513212 568199 618191 815486 861463 1136398 1236382 1630972 1722926 2272796 2472764 2737703 3445852 3977393 5475406 6030241 7954786 10950812 12060482 15909572 19163921 24120964 26705353 34440191 38327842 53410706 68880382 76655684 106821412 137760764 186937471 241081337 373874942 482162674 747749884 964325348 1067645921 1618688977 2135291842 3237377954 4270583684 6474755908 7473521447 11330822839 14947042894 22661645678 29894085788 45323291356 50179358287 100358716574 200717433148 351255508009 702511016018 1405022032036