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145431322530 = 23513259486181
BaseRepresentation
bin1000011101110001100…
…0011101111110100010
3111220101100200122120220
42013130120131332202
54340320404310110
6150451001543510
713335631562604
oct2073430357642
9456340618526
10145431322530
115674a21014a
12242287a4b96
1310938bab100
147078ac9174
153bb2977370
hex21dc61dfa2

145431322530 has 96 divisors (see below), whose sum is σ = 384356041920. Its totient is φ = 35191653120.

The previous prime is 145431322523. The next prime is 145431322591. The reversal of 145431322530 is 35223134541.

145431322530 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145431322491 and 145431322500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56040 + ... + 542220.

It is an arithmetic number, because the mean of its divisors is an integer number (4003708770).

Almost surely, 2145431322530 is an apocalyptic number.

145431322530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145431322530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192178020960).

145431322530 is an abundant number, since it is smaller than the sum of its proper divisors (238924719390).

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

145431322530 is a wasteful number, since it uses less digits than its factorization.

145431322530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486276 (or 486263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 145431322530 in words is "one hundred forty-five billion, four hundred thirty-one million, three hundred twenty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 169 177 195 295 338 354 390 507 590 767 845 885 1014 1534 1690 1770 2301 2535 3835 4602 5070 7670 9971 11505 19942 23010 29913 49855 59826 99710 149565 299130 486181 972362 1458543 2430905 2917086 4861810 6320353 7292715 12640706 14585430 18961059 28684679 31601765 37922118 57369358 63203530 82164589 86054037 94805295 143423395 164329178 172108074 189610590 246493767 286846790 372900827 410822945 430270185 492987534 745801654 821645890 860540370 1118702481 1232468835 1864504135 2237404962 2464937670 3729008270 4847710751 5593512405 9695421502 11187024810 14543132253 24238553755 29086264506 48477107510 72715661265 145431322530