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2145615440 = 24528394771
BaseRepresentation
bin111111111100011…
…0111111001010000
312112112100120001112
41333320313321100
513343234143230
6552523552452
7104112300413
oct17770677120
95475316045
102145615440
11a01164701
124ba68b728
1328269c647
14164d61b7a
15c8577d95
hex7fe37e50

2145615440 has 40 divisors (see below), whose sum is σ = 5006236128. Its totient is φ = 855204480.

The previous prime is 2145615401. The next prime is 2145615443. The reversal of 2145615440 is 445165412.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2145615397 and 2145615406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145615443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24746 + ... + 70025.

Almost surely, 22145615440 is an apocalyptic number.

2145615440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145615440 is an abundant number, since it is smaller than the sum of its proper divisors (2860620688).

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

2145615440 is a wasteful number, since it uses less digits than its factorization.

2145615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95067 (or 95061 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2145615440 is about 46320.7884216148. The cubic root of 2145615440 is about 1289.7849209758.

The spelling of 2145615440 in words is "two billion, one hundred forty-five million, six hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283 566 1132 1415 2264 2830 4528 5660 11320 22640 94771 189542 379084 473855 758168 947710 1516336 1895420 3790840 7581680 26820193 53640386 107280772 134100965 214561544 268201930 429123088 536403860 1072807720 2145615440