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40450211040 = 2535731154401
BaseRepresentation
bin100101101011000001…
…010011110011100000
310212102001012121221110
4211223001103303200
51130320223223130
630325500223320
72631252056301
oct455301236340
9125361177843
1040450211040
11161780a9288
127a0a83ab40
133a78424325
141d5a2c27a8
1510bb2b7ab0
hex96b053ce0

40450211040 has 96 divisors (see below), whose sum is σ = 129163730976. Its totient is φ = 10638950400.

The previous prime is 40450211003. The next prime is 40450211041. The reversal of 40450211040 is 4011205404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 40450210998 and 40450211016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40450211041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542161 + ... + 612240.

It is an arithmetic number, because the mean of its divisors is an integer number (1345455531).

Almost surely, 240450211040 is an apocalyptic number.

40450211040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40450211040 is an abundant number, since it is smaller than the sum of its proper divisors (88713519936).

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

40450211040 is a wasteful number, since it uses less digits than its factorization.

40450211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154492 (or 1154484 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 40450211040 its reverse (4011205404), we get a palindrome (44461416444).

The spelling of 40450211040 in words is "forty billion, four hundred fifty million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 73 80 96 120 146 160 219 240 292 365 438 480 584 730 876 1095 1168 1460 1752 2190 2336 2920 3504 4380 5840 7008 8760 11680 17520 35040 1154401 2308802 3463203 4617604 5772005 6926406 9235208 11544010 13852812 17316015 18470416 23088020 27705624 34632030 36940832 46176040 55411248 69264060 84271273 92352080 110822496 138528120 168542546 184704160 252813819 277056240 337085092 421356365 505627638 554112480 674170184 842712730 1011255276 1264069095 1348340368 1685425460 2022510552 2528138190 2696680736 3370850920 4045021104 5056276380 6741701840 8090042208 10112552760 13483403680 20225105520 40450211040