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4440300554034 = 2323721512394993
BaseRepresentation
bin100000010011101011010…
…0010011000011100110010
3120201111012011212100001100
41000213112202120130302
51040222213420212114
613235502414545230
7635541533652552
oct100472642303462
916644164770040
104440300554034
1114621369a4774
125b8687808216
1326294584c347
14114ca9989162
157a780958909
hex409d6898732

4440300554034 has 144 divisors (see below), whose sum is σ = 9996824597760. Its totient is φ = 1424289484800.

The previous prime is 4440300554017. The next prime is 4440300554057. The reversal of 4440300554034 is 4304550030444.

4440300554034 is a `hidden beast` number, since 4 + 4 + 40 + 30 + 0 + 554 + 0 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4440300554034.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 889302642 + ... + 889307634.

It is an arithmetic number, because the mean of its divisors is an integer number (69422393040).

Almost surely, 24440300554034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440300554034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998412298880).

4440300554034 is an abundant number, since it is smaller than the sum of its proper divisors (5556524043726).

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

4440300554034 is a wasteful number, since it uses less digits than its factorization.

4440300554034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 4440300554034 its reverse (4304550030444), we get a palindrome (8744850584478).

The spelling of 4440300554034 in words is "four trillion, four hundred forty billion, three hundred million, five hundred fifty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 151 222 239 302 333 453 478 666 717 906 1359 1369 1434 2151 2718 2738 4107 4302 4993 5587 8214 8843 9986 11174 12321 14979 16761 17686 24642 26529 29958 33522 36089 44937 50283 53058 72178 79587 89874 100566 108267 159174 184741 206719 216534 324801 327191 369482 413438 554223 620157 649602 654382 753943 981573 1108446 1193327 1240314 1335293 1507886 1662669 1860471 1963146 2261829 2386654 2670586 2944719 3325338 3579981 3720942 4005879 4523658 5889438 6785487 6835417 7159962 8011758 10739943 12017637 13570974 13670834 20506251 21479886 24035274 27895891 41012502 44153099 49405841 55791782 61518753 83687673 88306198 98811682 123037506 132459297 148217523 167375346 180192377 251063019 264918594 296435046 360384754 397377891 444652569 502126038 540577131 794755782 889305138 1032147967 1081154262 1621731393 1633664663 2064295934 3096443901 3243462786 3267329326 4900993989 6192887802 6667117949 9289331703 9801987978 13334235898 14702981967 18578663406 20001353847 29405963934 40002707694 60004061541 120008123082 246683364113 493366728226 740050092339 1480100184678 2220150277017 4440300554034