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1345546122040 = 235435314760269
BaseRepresentation
bin10011100101001000110…
…011000111001100111000
311202122002102102011220001
4103211020303013030320
5134021134301401130
62510045123042344
7166132613220241
oct23451063071470
94678072364801
101345546122040
1147970878686a
121989388103b4
1399b661bb903
14491a6577cc8
152500278c6ca
hex13948cc7338

1345546122040 has 64 divisors (see below), whose sum is σ = 3156336136800. Its totient is φ = 515782804992.

The previous prime is 1345546122023. The next prime is 1345546122043. The reversal of 1345546122040 is 402216455431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345546122043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7288975 + ... + 7471294.

Almost surely, 21345546122040 is an apocalyptic number.

1345546122040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345546122040 is an abundant number, since it is smaller than the sum of its proper divisors (1810790014760).

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

1345546122040 is a wasteful number, since it uses less digits than its factorization.

1345546122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760376 (or 14760372 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 1345546122040 in words is "one trillion, three hundred forty-five billion, five hundred forty-six million, one hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 172 212 215 265 344 424 430 530 860 1060 1720 2120 2279 4558 9116 11395 18232 22790 45580 91160 14760269 29520538 59041076 73801345 118082152 147602690 295205380 590410760 634691567 782294257 1269383134 1564588514 2538766268 3129177028 3173457835 3911471285 5077532536 6258354056 6346915670 7822942570 12693831340 15645885140 25387662680 31291770280 33638653051 67277306102 134554612204 168193265255 269109224408 336386530510 672773061020 1345546122040