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146256242500 = 2254498711731
BaseRepresentation
bin1000100000110110001…
…1010010011101000100
3111222111211220221001101
42020031203102131010
54344013044230000
6151104510505444
713365236356234
oct2101543223504
9458454827041
10146256242500
1157032921795
1224418b05284
1310a3aa77934
14711649dcc4
153c100c2e6a
hex220d8d2744

146256242500 has 60 divisors (see below), whose sum is σ = 319924553872. Its totient is φ = 58485780000.

The previous prime is 146256242491. The next prime is 146256242501. The reversal of 146256242500 is 5242652641.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 146256242500.

It is not an unprimeable number, because it can be changed into a prime (146256242501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12461635 + ... + 12473365.

Almost surely, 2146256242500 is an apocalyptic number.

146256242500 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 146256242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159962276936).

146256242500 is an abundant number, since it is smaller than the sum of its proper divisors (173668311372).

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

146256242500 is a wasteful number, since it uses less digits than its factorization.

146256242500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16742 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 146256242500 in words is "one hundred forty-six billion, two hundred fifty-six million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 4987 9974 11731 19948 23462 24935 46924 49870 58655 99740 117310 124675 234620 249350 293275 498700 586550 623375 1173100 1246750 1466375 2493500 2932750 3116875 5865500 6233750 7331875 12467500 14663750 29327500 58502497 117004994 234009988 292512485 585024970 1170049940 1462562425 2925124850 5850249700 7312812125 14625624250 29251248500 36564060625 73128121250 146256242500