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103433649840 = 243555320661
BaseRepresentation
bin110000001010100100…
…0000011111010110000
3100212222110122211100000
41200111020003322300
53143313003243330
6115303342030000
710321116342303
oct1402510037260
9325873584300
10103433649840
113a958665044
1218067878300
1399a4cb7901
1450130aab3a
152a558dc560
hex1815203eb0

103433649840 has 120 divisors (see below), whose sum is σ = 360230100048. Its totient is φ = 27582301440.

The previous prime is 103433649773. The next prime is 103433649841. The reversal of 103433649840 is 48946334301.

103433649840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103433649841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2640891 + ... + 2679770.

Almost surely, 2103433649840 is an apocalyptic number.

103433649840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103433649840 is an abundant number, since it is smaller than the sum of its proper divisors (256796450208).

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

103433649840 is an equidigital number, since it uses as much as digits as its factorization.

103433649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320689 (or 5320671 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 103433649840 in words is "one hundred three billion, four hundred thirty-three million, six hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 5320661 10641322 15961983 21282644 26603305 31923966 42565288 47885949 53206610 63847932 79809915 85130576 95771898 106413220 127695864 143657847 159619830 191543796 212826440 239429745 255391728 287315694 319239660 383087592 425652880 430973541 478859490 574631388 638479320 718289235 766175184 861947082 957718980 1149262776 1276958640 1292920623 1436578470 1723894164 1915437960 2154867705 2298525552 2585841246 2873156940 3447788328 3830875920 4309735410 5171682492 5746313880 6464603115 6895576656 8619470820 10343364984 11492627760 12929206230 17238941640 20686729968 25858412460 34477883280 51716824920 103433649840