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444534542052544 = 2667711914176283
BaseRepresentation
bin110010100010011010100001…
…1011110000010110011000000
32011021222002100120001121202101
41211010311003132002303000
5431231223220231140134
64213240203244400144
7162430363233335326
oct14504650336026300
92137862316047671
10444534542052544
11119708049aa7099
1241a35932846054
1316107573132448
147bab82da25d16
15365d56c1aae14
hex1944d43782cc0

444534542052544 has 112 divisors (see below), whose sum is σ = 907958292523776. Its totient is φ = 215851941043200.

The previous prime is 444534542052533. The next prime is 444534542052551. The reversal of 444534542052544 is 445250245435444.

It is a super-2 number, since 2×4445345420525442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5827401027 + ... + 5827477309.

Almost surely, 2444534542052544 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 444534542052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453979146261888).

444534542052544 is an abundant number, since it is smaller than the sum of its proper divisors (463423750471232).

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

444534542052544 is a wasteful number, since it uses less digits than its factorization.

444534542052544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95574 (or 95564 counting only the distinct ones).

The product of its (nonzero) digits is 122880000, while the sum is 55.

Adding to 444534542052544 its reverse (445250245435444), we get a palindrome (889784787487988).

The spelling of 444534542052544 in words is "four hundred forty-four trillion, five hundred thirty-four billion, five hundred forty-two million, fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 71 134 142 268 284 536 568 1072 1136 2144 2272 4288 4544 4757 9514 19028 19141 38056 38282 76112 76283 76564 152224 152566 153128 304448 305132 306256 610264 612512 1220528 1225024 1282447 1359011 2441056 2564894 2718022 4882112 5110961 5129788 5416093 5436044 10221922 10259576 10832186 10872088 20443844 20519152 21664372 21744176 40887688 41038304 43328744 43488352 81775376 82076608 86657488 86976704 91053737 163550752 173314976 182107474 327101504 346629952 362878231 364214948 725756462 728429896 1451512924 1456859792 1460132903 2903025848 2913719584 2920265806 5806051696 5827439168 5840531612 11612103392 11681063224 23224206784 23362126448 46724252896 93448505792 97828904501 103669436113 195657809002 207338872226 391315618004 414677744452 782631236008 829355488904 1565262472016 1658710977808 3130524944032 3317421955616 6261049888064 6634843911232 6945852219571 13891704439142 27783408878284 55566817756568 111133635513136 222267271026272 444534542052544