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431332138986 = 23732937195329
BaseRepresentation
bin1100100011011010110…
…01100001111111101010
31112020100021111221111220
412101231121201333222
524031332011421421
6530052400402510
743106545455000
oct6215531417752
91466307457456
10431332138986
11156a21825141
126b718316436
133189c9b1b58
1416c3b4d6a70
15b3474603c6
hex646d661fea

431332138986 has 128 divisors (see below), whose sum is σ = 1068845760000. Its totient is φ = 115771686912.

The previous prime is 431332138981. The next prime is 431332139027. The reversal of 431332138986 is 689831233134.

It is a super-2 number, since 2×4313321389862 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431332138981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2110570 + ... + 2305898.

It is an arithmetic number, because the mean of its divisors is an integer number (8350357500).

Almost surely, 2431332138986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431332138986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534422880000).

431332138986 is an abundant number, since it is smaller than the sum of its proper divisors (637513621014).

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

431332138986 is a wasteful number, since it uses less digits than its factorization.

431332138986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195421 (or 195407 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 431332138986 in words is "four hundred thirty-one billion, three hundred thirty-two million, one hundred thirty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 29 37 42 49 58 74 87 98 111 147 174 203 222 259 294 343 406 518 609 686 777 1029 1073 1218 1421 1554 1813 2058 2146 2842 3219 3626 4263 5439 6438 7511 8526 9947 10878 12691 15022 19894 22533 25382 29841 38073 45066 52577 59682 76146 105154 157731 195329 315462 368039 390658 585987 736078 1104117 1171974 1367303 2208234 2734606 4101909 5664541 7227173 8203818 9571121 11329082 14454346 16993623 19142242 21681519 28713363 33987246 39651787 43363038 50590211 57426726 66997847 79303574 101180422 118955361 133995694 151770633 200993541 209588017 237910722 277562509 303541266 354131477 401987082 419176034 555125018 628764051 708262954 832687527 1062394431 1257528102 1467116119 1665375054 1942937563 2124788862 2478920339 2934232238 3885875126 4401348357 4957840678 5828812689 7436761017 8802696714 10269812833 11657625378 14873522034 20539625666 30809438499 61618876998 71888689831 143777379662 215666069493 431332138986