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2434354555542 = 2371337439274489
BaseRepresentation
bin100011011011001010110…
…101101010101010010110
322121201111100120110112220
4203123022311222222112
5304341024231234132
65102154350323210
7340606401211110
oct43331265525226
98551440513486
102434354555542
11859449757248
123339644b9506
13148735478a90
1485b755463b0
15434ca95da2c
hex236cad6aa96

2434354555542 has 128 divisors (see below), whose sum is σ = 6168251443200. Its totient is φ = 623250256896.

The previous prime is 2434354555541. The next prime is 2434354555543. The reversal of 2434354555542 is 2455554534342.

It is an interprime number because it is at equal distance from previous prime (2434354555541) and next prime (2434354555543).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434354555541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8731434 + ... + 9005922.

It is an arithmetic number, because the mean of its divisors is an integer number (48189464400).

Almost surely, 22434354555542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434354555542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084125721600).

2434354555542 is an abundant number, since it is smaller than the sum of its proper divisors (3733896887658).

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

2434354555542 is a wasteful number, since it uses less digits than its factorization.

2434354555542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274990.

The product of its digits is 28800000, while the sum is 51.

The spelling of 2434354555542 in words is "two trillion, four hundred thirty-four billion, three hundred fifty-four million, five hundred fifty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 439 481 518 546 777 878 962 1317 1443 1554 2634 2886 3073 3367 5707 6146 6734 9219 10101 11414 16243 17121 18438 20202 32486 34242 39949 48729 79898 97458 113701 119847 211159 227402 239694 274489 341103 422318 548978 633477 682206 823467 1266954 1478113 1646934 1921423 2956226 3568357 3842846 4434339 5764269 7136714 8868678 10156093 10705071 11528538 20312186 21410142 24978499 30468279 49956998 60936558 71092651 74935497 120500671 132029209 142185302 149870994 213277953 241001342 264058418 361502013 396087627 426555906 723004026 792175254 843504697 924204463 1566508723 1687009394 1848408926 2530514091 2772613389 3133017446 4458524827 4699526169 5061028182 5545226778 8917049654 9399052338 10965561061 13375574481 21931122122 26751148962 31209673789 32896683183 57960822751 62419347578 65793366366 93629021367 115921645502 173882468253 187258042734 347764936506 405725759257 811451518514 1217177277771 2434354555542