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132340153440213 = 32411019473374849
BaseRepresentation
bin11110000101110011010111…
…110101011101011111010101
3122100120121001211120021101100
4132011303113311131133111
5114321230113240041323
61145244121023420313
736606155241561435
oct3605632765353725
9570517054507340
10132340153440213
1139193164575244
1212a144a9754699
1358ac813732424
1424974248a02c5
15104770ee2a943
hex785cd7d5d7d5

132340153440213 has 48 divisors (see below), whose sum is σ = 197780609098800. Its totient is φ = 85213446144000.

The previous prime is 132340153440211. The next prime is 132340153440289. The reversal of 132340153440213 is 312044351043231.

132340153440213 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 40 + 153 + 440 + 21 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40117301127684 + 92222852312529 = 6333822^2 + 9603273^2 .

It is not a de Polignac number, because 132340153440213 - 21 = 132340153440211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132340153440211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352861813 + ... + 353236661.

It is an arithmetic number, because the mean of its divisors is an integer number (4120429356225).

Almost surely, 2132340153440213 is an apocalyptic number.

It is an amenable number.

132340153440213 is a deficient number, since it is larger than the sum of its proper divisors (65440455658587).

132340153440213 is a wasteful number, since it uses less digits than its factorization.

132340153440213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384470 (or 384467 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 132340153440213 in words is "one hundred thirty-two trillion, three hundred forty billion, one hundred fifty-three million, four hundred forty thousand, two hundred thirteen".

Divisors: 1 3 9 41 101 123 303 369 909 4141 9473 12423 28419 37269 85257 374849 388393 956773 1124547 1165179 2870319 3373641 3495537 8610957 15368809 37859749 39227693 46106427 113579247 117683079 138319281 340737741 353049237 1552249709 3550944577 4656749127 10652833731 13970247381 31958501193 145588727657 358645402277 436766182971 1075936206831 1310298548913 3227808620493 14704461493357 44113384480071 132340153440213