Search a number
-
+
104555536440 = 23353164743441
BaseRepresentation
bin110000101011111111…
…1101110000000111000
3100222212122200120102120
41201113333232000320
53203112204131230
6120010540001240
710360661252565
oct1412777560070
9328778616376
10104555536440
1140383969053
121831b530220
139b2355c634
1450bc0a586c
152abe148310
hex1857fee038

104555536440 has 128 divisors (see below), whose sum is σ = 324292792320. Its totient is φ = 26939750400.

The previous prime is 104555536439. The next prime is 104555536457. The reversal of 104555536440 is 44635555401.

It is a junction number, because it is equal to n+sod(n) for n = 104555536392 and 104555536401.

It is a congruent number.

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, 2385120 + ... + 2428560.

It is an arithmetic number, because the mean of its divisors is an integer number (2533537440).

Almost surely, 2104555536440 is an apocalyptic number.

104555536440 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 104555536440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162146396160).

104555536440 is an abundant number, since it is smaller than the sum of its proper divisors (219737255880).

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

104555536440 is a wasteful number, since it uses less digits than its factorization.

104555536440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44133 (or 44129 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 104555536440 in words is "one hundred four billion, five hundred fifty-five million, five hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 647 744 930 1240 1294 1860 1941 2588 3235 3720 3882 5176 6470 7764 9705 12940 15528 19410 20057 25880 38820 40114 43441 60171 77640 80228 86882 100285 120342 130323 160456 173764 200570 217205 240684 260646 300855 347528 401140 434410 481368 521292 601710 651615 802280 868820 1042584 1203420 1303230 1346671 1737640 2406840 2606460 2693342 4040013 5212920 5386684 6733355 8080026 10773368 13466710 16160052 20200065 26933420 28106327 32320104 40400130 53866840 56212654 80800260 84318981 112425308 140531635 161600520 168637962 224850616 281063270 337275924 421594905 562126540 674551848 843189810 871296137 1124253080 1686379620 1742592274 2613888411 3372759240 3485184548 4356480685 5227776822 6970369096 8712961370 10455553644 13069442055 17425922740 20911107288 26138884110 34851845480 52277768220 104555536440