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40002146560 = 285130723911
BaseRepresentation
bin100101010000010100…
…000101000100000000
310211020211002121000201
4211100110011010000
51123411022142220
630213212454544
72614201430665
oct452024050400
9124224077021
1040002146560
1115a68194862
12790477a454
133a0665460c
141d169a9a6c
151091cacd0a
hex950505100

40002146560 has 72 divisors (see below), whose sum is σ = 95894963136. Its totient is φ = 15987947520.

The previous prime is 40002146543. The next prime is 40002146573. The reversal of 40002146560 is 6564120004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1661005 + ... + 1684915.

It is an arithmetic number, because the mean of its divisors is an integer number (1331874488).

Almost surely, 240002146560 is an apocalyptic number.

40002146560 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 40002146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47947481568).

40002146560 is an abundant number, since it is smaller than the sum of its proper divisors (55892816576).

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

40002146560 is a wasteful number, since it uses less digits than its factorization.

40002146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25239 (or 25225 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 40002146560 its reverse (6564120004), we get a palindrome (46566266564).

The spelling of 40002146560 in words is "forty billion, two million, one hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1307 2614 5228 6535 10456 13070 20912 23911 26140 41824 47822 52280 83648 95644 104560 119555 167296 191288 209120 239110 334592 382576 418240 478220 765152 836480 956440 1530304 1672960 1912880 3060608 3825760 6121216 7651520 15303040 30606080 31251677 62503354 125006708 156258385 250013416 312516770 500026832 625033540 1000053664 1250067080 2000107328 2500134160 4000214656 5000268320 8000429312 10000536640 20001073280 40002146560