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40400004078 = 23273119353591
BaseRepresentation
bin100101101000000001…
…110010001111101110
310212021112201211221100
4211220001302033232
51130214400112303
630320504143530
72630102240310
oct455001621756
9125245654840
1040400004078
1116151827025
1279b5a67ba6
133a6abc5975
141d537737b0
1510b6b9b8a3
hex9680723ee

40400004078 has 96 divisors (see below), whose sum is σ = 103802130432. Its totient is φ = 11112422400.

The previous prime is 40400003993. The next prime is 40400004079. The reversal of 40400004078 is 87040000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400004079) 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 47 ways as a sum of consecutive naturals, for example, 727063 + ... + 780653.

It is an arithmetic number, because the mean of its divisors is an integer number (1081272192).

Almost surely, 240400004078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400004078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51901065216).

40400004078 is an abundant number, since it is smaller than the sum of its proper divisors (63402126354).

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

40400004078 is a wasteful number, since it uses less digits than its factorization.

40400004078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53830 (or 53827 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 40400004078 in words is "forty billion, four hundred million, four thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 193 217 279 386 434 558 579 651 1158 1302 1351 1737 1953 2702 3474 3906 4053 5983 8106 11966 12159 17949 24318 35898 41881 53591 53847 83762 107182 107694 125643 160773 251286 321546 375137 376929 482319 750274 753858 964638 1125411 1661321 2250822 3322642 3376233 4983963 6752466 9967926 10343063 11629247 14951889 20686126 23258494 29903778 31029189 34887741 62058378 69775482 72401441 93087567 104663223 144802882 186175134 209326446 217204323 320634953 434408646 641269906 651612969 961904859 1303225938 1923809718 2244444671 2885714577 4488889342 5771429154 6733334013 13466668026 20200002039 40400004078