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104444022324024 = 2333717701788427
BaseRepresentation
bin10111101111110111000100…
…110110010111101100111000
3111200210202021111100100222000
4113233313010312113230320
5102142202324203332044
61010044531012101000
730666555144502365
oct2757670466275470
9450722244310860
10104444022324024
113030850882a809
12b869b4b904760
13463804ba6bb46
141bb1190ba746c
15c11c66d3ed69
hex5efdc4d97b38

104444022324024 has 128 divisors (see below), whose sum is σ = 294215660812800. Its totient is φ = 34323492752640.

The previous prime is 104444022324023. The next prime is 104444022324029. The reversal of 104444022324024 is 420423220444401.

104444022324024 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 4 + 402 + 2 + 3 + 240 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104444022324024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104444022324023) by changing a digit.

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, 1181088499 + ... + 1181176925.

It is an arithmetic number, because the mean of its divisors is an integer number (2298559850100).

Almost surely, 2104444022324024 is an apocalyptic number.

It is an amenable number.

104444022324024 is an abundant number, since it is smaller than the sum of its proper divisors (189771638488776).

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

104444022324024 is a wasteful number, since it uses less digits than its factorization.

104444022324024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165530 (or 165520 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 104444022324024 its reverse (420423220444401), we get a palindrome (524867242768425).

The spelling of 104444022324024 in words is "one hundred four trillion, four hundred forty-four billion, twenty-two million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 15336 77017 88427 154034 176854 231051 265281 308068 353708 462102 530562 616136 693153 707416 795843 924204 1061124 1386306 1591686 1848408 2079459 2122248 2387529 2772612 3183372 4158918 4775058 5468207 5545224 6278317 6366744 8317836 9550116 10936414 12556634 16404621 16635672 18834951 19100232 21872828 25113268 32809242 37669902 43745656 49213863 50226536 56504853 65618484 75339804 98427726 113009706 131236968 147641589 150679608 169514559 196855452 226019412 295283178 339029118 393710904 452038824 590566356 678058236 1181132712 1356116472 6810382259 13620764518 20431146777 27241529036 40862293554 54483058072 61293440331 81724587108 122586880662 163449174216 183880320993 245173761324 367760641986 483537140389 490347522648 735521283972 967074280778 1450611421167 1471042567944 1934148561556 2901222842334 3868297123112 4351834263501 5802445684668 8703668527002 11604891369336 13055502790503 17407337054004 26111005581006 34814674108008 52222011162012 104444022324024