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149459560000 = 265419332
BaseRepresentation
bin1000101100110001111…
…0111110011001000000
3112021210002112022120021
42023030132332121000
54422043121410000
6152354421023224
713540514204302
oct2131436763100
9467702468507
10149459560000
1158427030623
1224b71854b14
131112b60848a
14733baad972
153d4b42911a
hex22cc7be640

149459560000 has 105 divisors (see below), whose sum is σ = 370802962101. Its totient is φ = 59752896000.

The previous prime is 149459559839. The next prime is 149459560001. The reversal of 149459560000 is 65954941.

The square root of 149459560000 is 386600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 89391432256 + 60068127744 = 298984^2 + 245088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149459560001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77319034 + ... + 77320966.

Almost surely, 2149459560000 is an apocalyptic number.

149459560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149459560000 is the 386600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149459560000

149459560000 is an abundant number, since it is smaller than the sum of its proper divisors (221343402101).

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

149459560000 is an frugal number, since it uses more digits than its factorization.

149459560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 149459560000 in words is "one hundred forty-nine billion, four hundred fifty-nine million, five hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1933 2000 2500 3866 4000 5000 7732 8000 9665 10000 15464 19330 20000 30928 38660 40000 48325 61856 77320 96650 123712 154640 193300 241625 309280 386600 483250 618560 773200 966500 1208125 1546400 1933000 2416250 3092800 3736489 3866000 4832500 7472978 7732000 9665000 14945956 15464000 18682445 19330000 29891912 37364890 38660000 59783824 74729780 77320000 93412225 119567648 149459560 186824450 239135296 298919120 373648900 467061125 597838240 747297800 934122250 1195676480 1494595600 1868244500 2335305625 2989191200 3736489000 4670611250 5978382400 7472978000 9341222500 14945956000 18682445000 29891912000 37364890000 74729780000 149459560000