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4056241455 = 345729103479
BaseRepresentation
bin1111000111000101…
…0101010100101111
3101110200112102020000
43301301111110233
531301344211310
61510255155343
7202342324560
oct36161252457
911420472200
104056241455
1117a1708272
12952515b53
134c8483996
142a69d4167
1518b1844c0
hexf1c5552f

4056241455 has 160 divisors (see below), whose sum is σ = 8698060800. Its totient is φ = 1769257728.

The previous prime is 4056241451. The next prime is 4056241487. The reversal of 4056241455 is 5541426504.

4056241455 is a `hidden beast` number, since 4 + 0 + 562 + 41 + 4 + 55 = 666.

It is not a de Polignac number, because 4056241455 - 22 = 4056241451 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056241451) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8467906 + ... + 8468384.

It is an arithmetic number, because the mean of its divisors is an integer number (54362880).

Almost surely, 24056241455 is an apocalyptic number.

4056241455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4056241455 is an abundant number, since it is smaller than the sum of its proper divisors (4641819345).

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

4056241455 is a wasteful number, since it uses less digits than its factorization.

4056241455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4056241455 is about 63688.6289301316. The cubic root of 4056241455 is about 1594.8062650604.

Adding to 4056241455 its reverse (5541426504), we get a palindrome (9597667959).

The spelling of 4056241455 in words is "four billion, fifty-six million, two hundred forty-one thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 103 105 135 145 189 203 261 309 315 405 435 479 515 567 609 721 783 927 945 1015 1305 1437 1545 1827 2163 2349 2395 2781 2835 2987 3045 3353 3605 3915 4311 4635 5481 6489 7185 8343 8961 9135 10059 10815 11745 12933 13891 13905 14935 16443 16765 19467 20909 21555 26883 27405 30177 32445 38799 41673 41715 44805 49337 50295 58401 62727 64665 69455 80649 82215 90531 97237 97335 104545 125019 134415 148011 150885 188181 193995 208365 241947 246685 271593 291711 292005 313635 345359 375057 403245 444033 452655 486185 564543 625095 740055 875133 940905 1036077 1125171 1209735 1332099 1357965 1430773 1458555 1693629 1726795 1875285 2220165 2625399 2822715 3108231 3996297 4292319 4375665 5180385 5625855 6660495 7153865 7876197 8468145 9324693 10015411 12876957 13126995 15541155 19981485 21461595 27974079 30046233 38630871 39380985 46623465 50077055 64384785 90138699 115892613 139870395 150231165 193154355 270416097 450693495 579463065 811248291 1352080485 4056241455