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40340140452 = 22332776312137
BaseRepresentation
bin100101100100011101…
…011011000110100100
310212010101002110111000
4211210131123012210
51130104033443302
630310525113300
72625444351633
oct454435330644
9125111073430
1040340140452
1116120a59657
1279999b8830
133a5b695ac1
141d4982d51a
1510b17c431c
hex96475b1a4

40340140452 has 96 divisors (see below), whose sum is σ = 105178653440. Its totient is φ = 13370676480.

The previous prime is 40340140433. The next prime is 40340140457. The reversal of 40340140452 is 25404104304.

It is a happy number.

40340140452 is a `hidden beast` number, since 40 + 34 + 0 + 140 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40340140457) 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, 18875928 + ... + 18878064.

Almost surely, 240340140452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40340140452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52589326720).

40340140452 is an abundant number, since it is smaller than the sum of its proper divisors (64838512988).

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

40340140452 is a wasteful number, since it uses less digits than its factorization.

40340140452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40340140452 its reverse (25404104304), we get a palindrome (65744244756).

The spelling of 40340140452 in words is "forty billion, three hundred forty million, one hundred forty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 277 554 631 831 1108 1262 1662 1893 2137 2493 2524 3324 3786 4274 4986 5679 6411 7479 7572 8548 9972 11358 12822 14958 17037 19233 22716 25644 29916 34074 38466 57699 68148 76932 115398 174787 230796 349574 524361 591949 699148 1048722 1183898 1348447 1573083 1775847 2097444 2367796 2696894 3146166 3551694 4045341 4719249 5327541 5393788 6292332 7103388 8090682 9438498 10655082 12136023 15982623 16181364 18876996 21310164 24272046 31965246 36408069 48544092 63930492 72816138 145632276 373519819 747039638 1120559457 1494079276 2241118914 3361678371 4482237828 6723356742 10085035113 13446713484 20170070226 40340140452