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10240134000 = 243531706689
BaseRepresentation
bin10011000100101110…
…00000101101110000
3222102122121201001020
421202113000231300
5131432433242000
64412041335440
7511521463035
oct114227005560
928378551036
1010240134000
11438531a268
121b99497580
13c726872b5
146d1dd138c
153edee3ba0
hex2625c0b70

10240134000 has 80 divisors (see below), whose sum is σ = 33014211360. Its totient is φ = 2730700800.

The previous prime is 10240133983. The next prime is 10240134029. The reversal of 10240134000 is 43104201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847345 + ... + 859344.

It is an arithmetic number, because the mean of its divisors is an integer number (412677642).

Almost surely, 210240134000 is an apocalyptic number.

10240134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240134000 is an abundant number, since it is smaller than the sum of its proper divisors (22774077360).

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

10240134000 is a wasteful number, since it uses less digits than its factorization.

10240134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706715 (or 1706699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10240134000 its reverse (43104201), we get a palindrome (10283238201).

The spelling of 10240134000 in words is "ten billion, two hundred forty million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1706689 3413378 5120067 6826756 8533445 10240134 13653512 17066890 20480268 25600335 27307024 34133780 40960536 42667225 51200670 68267560 81921072 85334450 102401340 128001675 136535120 170668900 204802680 213336125 256003350 341337800 409605360 426672250 512006700 640008375 682675600 853344500 1024013400 1280016750 1706689000 2048026800 2560033500 3413378000 5120067000 10240134000