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145231031250 = 23256516377
BaseRepresentation
bin1000011101000001110…
…0011010101111010010
3111212212101210210121100
42013100130122233102
54334413121000000
6150415045005230
713330650253164
oct2072034325722
9455771723540
10145231031250
1156657149368
12241916b3816
1310906551366
14705a26c934
153ba00b1a00
hex21d071abd2

145231031250 has 84 divisors (see below), whose sum is σ = 393329770002. Its totient is φ = 38728200000.

The previous prime is 145231031233. The next prime is 145231031269. The reversal of 145231031250 is 52130132541.

145231031250 is a `hidden beast` number, since 1 + 4 + 523 + 10 + 3 + 125 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 34695395289 + 110535635961 = 186267^2 + 332469^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 23062 + ... + 539438.

Almost surely, 2145231031250 is an apocalyptic number.

145231031250 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 145231031250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196664885001).

145231031250 is an abundant number, since it is smaller than the sum of its proper divisors (248098738752).

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

145231031250 is an frugal number, since it uses more digits than its factorization.

145231031250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516415 (or 516387 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 145231031250 its reverse (52130132541), we get a palindrome (197361163791).

The spelling of 145231031250 in words is "one hundred forty-five billion, two hundred thirty-one million, thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 3125 3750 5625 6250 9375 11250 15625 18750 28125 31250 46875 56250 93750 140625 281250 516377 1032754 1549131 2581885 3098262 4647393 5163770 7745655 9294786 12909425 15491310 23236965 25818850 38728275 46473930 64547125 77456550 116184825 129094250 193641375 232369650 322735625 387282750 580924125 645471250 968206875 1161848250 1613678125 1936413750 2904620625 3227356250 4841034375 5809241250 8068390625 9682068750 14523103125 16136781250 24205171875 29046206250 48410343750 72615515625 145231031250