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145132401540 = 22357345553337
BaseRepresentation
bin1000011100101010010…
…0001011001110000100
3111212121112012220002010
42013022210023032010
54334212343322130
6150401203014220
713325342026050
oct2071244131604
9455545186063
10145132401540
1156606503405
122416466a370
13108bbc9a499
14704b116c60
153b965cd0b0
hex21ca90b384

145132401540 has 48 divisors (see below), whose sum is σ = 464423686272. Its totient is φ = 33173120256.

The previous prime is 145132401473. The next prime is 145132401541. The reversal of 145132401540 is 45104231541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145132401498 and 145132401507.

It is not an unprimeable number, because it can be changed into a prime (145132401541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172776249 + ... + 172777088.

It is an arithmetic number, because the mean of its divisors is an integer number (9675493464).

Almost surely, 2145132401540 is an apocalyptic number.

145132401540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145132401540 is an abundant number, since it is smaller than the sum of its proper divisors (319291284732).

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

145132401540 is a wasteful number, since it uses less digits than its factorization.

145132401540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345553356 (or 345553354 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 145132401540 in words is "one hundred forty-five billion, one hundred thirty-two million, four hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 345553337 691106674 1036660011 1382213348 1727766685 2073320022 2418873359 3455533370 4146640044 4837746718 5183300055 6911066740 7256620077 9675493436 10366600110 12094366795 14513240154 20733200220 24188733590 29026480308 36283100385 48377467180 72566200770 145132401540