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40141332 = 22347111609
BaseRepresentation
bin1001100100100…
…0001000010100
32210112101120000
42121020020110
540234010312
63552211300
7665124060
oct231101024
983471500
1040141332
1120727860
1211539b30
138415c8a
14548caa0
1537cdadc
hex2648214

40141332 has 120 divisors (see below), whose sum is σ = 130912320. Its totient is φ = 10419840.

The previous prime is 40141331. The next prime is 40141351. The reversal of 40141332 is 23314104.

It is a super-2 number, since 2×401413322 = 3222653069468448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24144 + ... + 25752.

It is an arithmetic number, because the mean of its divisors is an integer number (1090936).

Almost surely, 240141332 is an apocalyptic number.

40141332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65456160).

40141332 is an abundant number, since it is smaller than the sum of its proper divisors (90770988).

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

40141332 is a wasteful number, since it uses less digits than its factorization.

40141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40141332 is about 6335.7187437575. The cubic root of 40141332 is about 342.3975064053.

Adding to 40141332 its reverse (23314104), we get a palindrome (63455436).

The spelling of 40141332 in words is "forty million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1609 1782 2079 2268 2772 3218 3564 4158 4827 6237 6436 8316 9654 11263 12474 14481 17699 19308 22526 24948 28962 33789 35398 43443 45052 53097 57924 67578 70796 86886 101367 106194 123893 130329 135156 159291 173772 202734 212388 247786 260658 304101 318582 371679 405468 477873 495572 521316 608202 637164 743358 912303 955746 1115037 1216404 1433619 1486716 1824606 1911492 2230074 2867238 3345111 3649212 4460148 5734476 6690222 10035333 13380444 20070666 40141332