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2145440412 = 2233374391223
BaseRepresentation
bin111111111100000…
…1101001010011100
312112112000122222000
41333320031022130
513343213043122
6552520122300
7104110641213
oct17770151234
95475018860
102145440412
11a01055155
124ba606390
1328263aa8b
14164d1807a
15c85410ac
hex7fe0d29c

2145440412 has 96 divisors (see below), whose sum is σ = 5730278400. Its totient is φ = 693665856.

The previous prime is 2145440411. The next prime is 2145440417. The reversal of 2145440412 is 2140445412.

2145440412 is a `hidden beast` number, since 214 + 5 + 440 + 4 + 1 + 2 = 666.

It is a super-2 number, since 2×21454404122 = 9205829122885459488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145440411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753633 + ... + 1754855.

It is an arithmetic number, because the mean of its divisors is an integer number (59690400).

Almost surely, 22145440412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145440412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865139200).

2145440412 is an abundant number, since it is smaller than the sum of its proper divisors (3584837988).

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

2145440412 is a wasteful number, since it uses less digits than its factorization.

2145440412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2145440412 is about 46318.8990801811. The cubic root of 2145440412 is about 1289.7498487366.

Adding to 2145440412 its reverse (2140445412), we get a palindrome (4285885824).

The spelling of 2145440412 in words is "two billion, one hundred forty-five million, four hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 439 444 666 878 999 1223 1317 1332 1756 1998 2446 2634 3669 3951 3996 4892 5268 7338 7902 11007 11853 14676 15804 16243 22014 23706 32486 33021 44028 45251 47412 48729 64972 66042 90502 97458 132084 135753 146187 181004 194916 271506 292374 407259 438561 536897 543012 584748 814518 877122 1073794 1221777 1610691 1629036 1754244 2147588 2443554 3221382 4832073 4887108 6442764 9664146 14496219 19328292 19865189 28992438 39730378 57984876 59595567 79460756 119191134 178786701 238382268 357573402 536360103 715146804 1072720206 2145440412