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4055422093408 = 257229340726177
BaseRepresentation
bin111011000000111001111…
…111100100100001100000
3112100200202100010202102101
4323000321333210201200
51012421001023442113
612343011333500144
7565665066013300
oct73007177444140
915320670122371
104055422093408
111323993057754
12555b747a1654
13235569ca284a
141003d7c07600
15707568812dd
hex3b039fe4860

4055422093408 has 144 divisors (see below), whose sum is σ = 9611091443520. Its totient is φ = 1677549060096.

The previous prime is 4055422093391. The next prime is 4055422093423. The reversal of 4055422093408 is 8043902245504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154910016 + ... + 154936192.

It is an arithmetic number, because the mean of its divisors is an integer number (66743690580).

Almost surely, 24055422093408 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 4055422093408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805545721760).

4055422093408 is an abundant number, since it is smaller than the sum of its proper divisors (5555669350112).

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

4055422093408 is a wasteful number, since it uses less digits than its factorization.

4055422093408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29637 (or 29622 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 4055422093408 in words is "four trillion, fifty-five billion, four hundred twenty-two million, ninety-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 3407 5684 6496 6814 11368 13628 22736 23849 26177 27256 45472 47698 52354 54512 95396 98803 104708 109024 166943 183239 190792 197606 209416 333886 366478 381584 395212 418832 667772 691621 732956 759133 763168 790424 837664 1282673 1335544 1383242 1465912 1518266 1580848 2565346 2671088 2766484 2931824 3036532 3161696 4841347 5130692 5313931 5342176 5532968 5863648 6073064 9682694 10261384 10627862 11065936 12146128 19365388 20522768 21255724 22131872 24292256 37197517 38730776 41045536 42511448 74395034 77461552 85022896 89185039 148790068 154923104 170045792 178370078 297580136 356740156 595160272 624295273 713480312 1190320544 1248590546 1426960624 2497181092 2586366131 2853921248 4370066911 4994362184 5172732262 8740133822 9988724368 10345464524 17480267644 18104562917 19977448736 20690929048 34960535288 36209125834 41381858096 69921070576 72418251668 82763716192 126731940419 139842141152 144836503336 253463880838 289673006672 506927761676 579346013344 1013855523352 2027711046704 4055422093408