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40132353040 = 245131071312753
BaseRepresentation
bin100101011000000100…
…110001110000010000
310211120220002202201221
4211120010301300100
51124142340244130
630234143334424
72620342241503
oct453004616020
9124526082657
1040132353040
111602473791a
1279402b1414
133a27613080
141d29dc113a
15109d42c87a
hex958131c10

40132353040 has 160 divisors (see below), whose sum is σ = 102235706496. Its totient is φ = 14562263040.

The previous prime is 40132353013. The next prime is 40132353043. The reversal of 40132353040 is 4035323104.

It is a super-2 number, since 2×401323530402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132352996 and 40132353014.

It is not an unprimeable number, because it can be changed into a prime (40132353043) 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, 14576304 + ... + 14579056.

Almost surely, 240132353040 is an apocalyptic number.

40132353040 is a gapful number since it is divisible by the number (40) 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 40132353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51117853248).

40132353040 is an abundant number, since it is smaller than the sum of its proper divisors (62103353456).

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

40132353040 is a wasteful number, since it uses less digits than its factorization.

40132353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 40132353040 its reverse (4035323104), we get a palindrome (44167676144).

The spelling of 40132353040 in words is "forty billion, one hundred thirty-two million, three hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 131 208 214 260 262 428 520 524 535 655 856 1040 1048 1070 1310 1391 1703 1712 2096 2140 2620 2753 2782 3406 4280 5240 5506 5564 6812 6955 8515 8560 10480 11012 11128 13624 13765 13910 14017 17030 22024 22256 27248 27530 27820 28034 34060 35789 44048 55060 55640 56068 68120 70085 71578 110120 111280 112136 136240 140170 143156 178945 182221 220240 224272 280340 286312 294571 357890 360643 364442 560680 572624 589142 715780 721286 728884 911105 1121360 1178284 1431560 1442572 1457768 1472855 1803215 1822210 2356568 2863120 2885144 2915536 2945710 3606430 3644420 3829423 4688359 4713136 5770288 5891420 7212860 7288840 7658846 9376718 11782840 14425720 14577680 15317692 18753436 19147115 23441795 23565680 28851440 30635384 37506872 38294230 38588801 46883590 61270768 75013744 76588460 77177602 93767180 153176920 154355204 187534360 192944005 306353840 308710408 375068720 385888010 501654413 617420816 771776020 1003308826 1543552040 2006617652 2508272065 3087104080 4013235304 5016544130 8026470608 10033088260 20066176520 40132353040