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32240103323442 = 2377126994005769
BaseRepresentation
bin1110101010010011110111…
…11001111111011100110010
311020011010100020022012120020
413111021323321333130302
513211210212422322232
6152322522103424310
76535161546435510
oct725117371773462
9136133306265506
1032240103323442
11a2aaa50912553
123748421455096
1314cb2c85b0471
147d66021034b0
153ad98bd21e2c
hex1d527be7f732

32240103323442 has 64 divisors (see below), whose sum is σ = 74757282048000. Its totient is φ = 9078352133760.

The previous prime is 32240103323437. The next prime is 32240103323501. The reversal of 32240103323442 is 24432330104223.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6045534 + ... + 10051302.

It is an arithmetic number, because the mean of its divisors is an integer number (1168082532000).

Almost surely, 232240103323442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32240103323442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37378641024000).

32240103323442 is an abundant number, since it is smaller than the sum of its proper divisors (42517178724558).

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

32240103323442 is a wasteful number, since it uses less digits than its factorization.

32240103323442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008551.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 32240103323442 its reverse (24432330104223), we get a palindrome (56672433427665).

The spelling of 32240103323442 in words is "thirty-two trillion, two hundred forty billion, one hundred three million, three hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2699 2982 5398 8097 16194 18893 37786 56679 113358 191629 383258 574887 1149774 1341403 2682806 4005769 4024209 8011538 8048418 12017307 24034614 28040383 56080766 84121149 168242298 284409599 568819198 853228797 1706457594 1990867193 3981734386 5972601579 10811570531 11945203158 21623141062 32434711593 64869423186 75680993717 151361987434 227042981151 454085962302 767621507701 1535243015402 2302864523103 4605729046206 5373350553907 10746701107814 16120051661721 32240103323442