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40114234240 = 275331189361
BaseRepresentation
bin100101010110111111…
…101010001110000000
310211112122000020102021
4211112333222032000
51124123220443430
630232255131224
72620032236143
oct452677521600
9124478006367
1040114234240
1116015491a03
127936213b14
133a2393aca2
141d2782605a
15109ba4e07a
hex956fea380

40114234240 has 64 divisors (see below), whose sum is σ = 96188321520. Its totient is φ = 15997132800.

The previous prime is 40114234231. The next prime is 40114234247. The reversal of 40114234240 is 4243241104.

40114234240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114234247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117160 + ... + 306520.

Almost surely, 240114234240 is an apocalyptic number.

40114234240 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 40114234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48094160760).

40114234240 is an abundant number, since it is smaller than the sum of its proper divisors (56074087280).

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

40114234240 is a wasteful number, since it uses less digits than its factorization.

40114234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189711 (or 189699 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40114234240 its reverse (4243241104), we get a palindrome (44357475344).

The spelling of 40114234240 in words is "forty billion, one hundred fourteen million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 331 640 662 1324 1655 2648 3310 5296 6620 10592 13240 21184 26480 42368 52960 105920 189361 211840 378722 757444 946805 1514888 1893610 3029776 3787220 6059552 7574440 12119104 15148880 24238208 30297760 60595520 62678491 121191040 125356982 250713964 313392455 501427928 626784910 1002855856 1253569820 2005711712 2507139640 4011423424 5014279280 8022846848 10028558560 20057117120 40114234240