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104250055440 = 2435717098629
BaseRepresentation
bin110000100010111001…
…0011001101100010000
3100222002100212112021110
41201011302121230100
53202001003233230
6115520344253320
710350261564456
oct1410562315420
9328070775243
10104250055440
1140237490713
1218255171240
139aa5192b4b
14508d6a69d6
152aa24054b0
hex1845c99b10

104250055440 has 160 divisors (see below), whose sum is σ = 328227206400. Its totient is φ = 27366635520.

The previous prime is 104250055409. The next prime is 104250055453. The reversal of 104250055440 is 44550052401.

104250055440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104250055398 and 104250055407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12077046 + ... + 12085674.

It is an arithmetic number, because the mean of its divisors is an integer number (2051420040).

Almost surely, 2104250055440 is an apocalyptic number.

104250055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104250055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164113603200).

104250055440 is an abundant number, since it is smaller than the sum of its proper divisors (223977150960).

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

104250055440 is a wasteful number, since it uses less digits than its factorization.

104250055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 104250055440 in words is "one hundred four billion, two hundred fifty million, fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 709 710 852 1065 1136 1418 1420 1704 2127 2130 2836 2840 3408 3545 4254 4260 5672 5680 7090 8508 8520 8629 10635 11344 14180 17016 17040 17258 21270 25887 28360 34032 34516 42540 43145 50339 51774 56720 69032 85080 86290 100678 103548 129435 138064 151017 170160 172580 201356 207096 251695 258870 302034 345160 402712 414192 503390 517740 604068 612659 690320 755085 805424 1006780 1035480 1208136 1225318 1510170 1837977 2013560 2070960 2416272 2450636 3020340 3063295 3675954 4027120 4901272 6040680 6117961 6126590 7351908 9189885 9802544 12081360 12235922 12253180 14703816 18353883 18379770 24471844 24506360 29407632 30589805 36707766 36759540 48943688 49012720 61179610 73415532 73519080 91769415 97887376 122359220 146831064 147038160 183538830 244718440 293662128 367077660 434375231 489436880 734155320 868750462 1303125693 1468310640 1737500924 2171876155 2606251386 3475001848 4343752310 5212502772 6515628465 6950003696 8687504620 10425005544 13031256930 17375009240 20850011088 26062513860 34750018480 52125027720 104250055440