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103434040000 = 26546142391
BaseRepresentation
bin110000001010100100…
…1100011001011000000
3100212222111101122112101
41200111021203023000
53143313103240000
6115303354240144
710321122555634
oct1402511431300
9325874348471
10103434040000
113a958901195
1218067a26054
1399a50c3385
14501316cdc4
152a55967e6a
hex18152632c0

103434040000 has 140 divisors (see below), whose sum is σ = 260693588848. Its totient is φ = 40694400000.

The previous prime is 103434039953. The next prime is 103434040001. The reversal of 103434040000 is 40434301.

It is a self number, because there is not a number n which added to its sum of digits gives 103434040000.

It is not an unprimeable number, because it can be changed into a prime (103434040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2418805 + ... + 2461195.

Almost surely, 2103434040000 is an apocalyptic number.

103434040000 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 103434040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130346794424).

103434040000 is an abundant number, since it is smaller than the sum of its proper divisors (157259548848).

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

103434040000 is an frugal number, since it uses more digits than its factorization.

103434040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42484 (or 42459 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 103434040000 its reverse (40434301), we get a palindrome (103474474301).

The spelling of 103434040000 in words is "one hundred three billion, four hundred thirty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3904 4000 4880 5000 6100 7625 8000 9760 10000 12200 15250 19520 20000 24400 30500 38125 40000 42391 48800 61000 76250 84782 97600 122000 152500 169564 211955 244000 305000 339128 423910 488000 610000 678256 847820 1059775 1220000 1356512 1695640 2119550 2440000 2585851 2713024 3391280 4239100 5171702 5298875 6782560 8478200 10343404 10597750 12929255 13565120 16956400 20686808 21195500 25858510 26494375 33912800 41373616 42391000 51717020 52988750 64646275 67825600 82747232 84782000 103434040 105977500 129292550 165494464 169564000 206868080 211955000 258585100 323231375 339128000 413736160 423910000 517170200 646462750 827472320 847820000 1034340400 1292925500 1616156875 1695640000 2068680800 2585851000 3232313750 4137361600 5171702000 6464627500 10343404000 12929255000 20686808000 25858510000 51717020000 103434040000