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40078905937554 = 23112924478557363
BaseRepresentation
bin10010001110011100110001…
…11100111000111010010010
312020220111122212100221210010
421013032120330320322102
520223123044410000204
6221123554544215350
711304414436331631
oct1107163074707222
9166814585327703
1040078905937554
1111852406601910
1245b368860a556
131949569b4a343
149c7b87c1d518
15497827128d89
hex247398f38e92

40078905937554 has 64 divisors (see below), whose sum is σ = 90497204951040. Its totient is φ = 11721532173120.

The previous prime is 40078905937547. The next prime is 40078905937633. The reversal of 40078905937554 is 45573950987004.

It is a happy number.

40078905937554 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404877 + ... + 8962239.

It is an arithmetic number, because the mean of its divisors is an integer number (1414018827360).

Almost surely, 240078905937554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40078905937554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45248602475520).

40078905937554 is an abundant number, since it is smaller than the sum of its proper divisors (50418299013486).

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

40078905937554 is a wasteful number, since it uses less digits than its factorization.

40078905937554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559855.

The product of its (nonzero) digits is 190512000, while the sum is 66.

The spelling of 40078905937554 in words is "forty trillion, seventy-eight billion, nine hundred five million, nine hundred thirty-seven thousand, five hundred fifty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 2447 4894 7341 14682 26917 53834 70963 80751 141926 161502 212889 425778 780593 1561186 2341779 4683558 8557363 17114726 25672089 51344178 94130993 188261986 248163527 282392979 496327054 564785958 744490581 1488981162 2729798797 5459597594 8189396391 16378792782 20939867261 41879734522 62819601783 125639203566 230338539871 460677079742 607256150569 691015619613 1214512301138 1382031239226 1821768451707 3643536903414 6679817656259 13359635312518 20039452968777 40078905937554