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40455514000 = 24531112171511
BaseRepresentation
bin100101101011010101…
…100010011110010000
310212102102012001020101
4211223111202132100
51130323102422000
630330210022144
72631345123646
oct455325423620
9125372161211
1040455514000
11161800a04a0
127a10577954
133a7955cc85
141d5aca3196
1510bb9b3e6a
hex96b562790

40455514000 has 160 divisors (see below), whose sum is σ = 106872659712. Its totient is φ = 14689280000.

The previous prime is 40455513997. The next prime is 40455514007. The reversal of 40455514000 is 41555404.

It is a super-2 number, since 2×404555140002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40455514000.

It is not an unprimeable number, because it can be changed into a prime (40455514007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26773245 + ... + 26774755.

Almost surely, 240455514000 is an apocalyptic number.

40455514000 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 40455514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53436329856).

40455514000 is an abundant number, since it is smaller than the sum of its proper divisors (66417145712).

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

40455514000 is a wasteful number, since it uses less digits than its factorization.

40455514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

It can be divided in two parts, 40455 and 514000, that added together give a palindrome (554455).

The spelling of 40455514000 in words is "forty billion, four hundred fifty-five million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1217 1375 1511 2000 2200 2434 2750 3022 4400 4868 5500 6044 6085 7555 9736 11000 12088 12170 13387 15110 16621 19472 22000 24176 24340 26774 30220 30425 33242 37775 48680 53548 60440 60850 66484 66935 75550 83105 97360 107096 120880 121700 132968 133870 151100 152125 166210 188875 214192 243400 265936 267740 302200 304250 332420 334675 377750 415525 486800 535480 604400 608500 664840 669350 755500 831050 1070960 1217000 1329680 1338700 1511000 1662100 1673375 1838887 2077625 2434000 2677400 3022000 3324200 3346750 3677774 4155250 5354800 6648400 6693500 7355548 8310500 9194435 13387000 14711096 16621000 18388870 20227757 26774000 29422192 33242000 36777740 40455514 45972175 73555480 80911028 91944350 101138785 147110960 161822056 183888700 202277570 229860875 323644112 367777400 404555140 459721750 505693925 735554800 809110280 919443500 1011387850 1618220560 1838887000 2022775700 2528469625 3677774000 4045551400 5056939250 8091102800 10113878500 20227757000 40455514000