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146155406341321 = 13372694332608733
BaseRepresentation
bin100001001110110101110101…
…000100111011010011001001
3201011111022122120020012102201
4201032311311010323103021
5123124102233010410241
61234502511115200201
742533244134641456
oct4116656504732311
9634438576205381
10146155406341321
114262a183686023
1214485a91a46061
13637251b400280
142813d608a482d
1511d6c869c2931
hex84ed7513b4c9

146155406341321 has 32 divisors (see below), whose sum is σ = 162627851463840. Its totient is φ = 130476336205824.

The previous prime is 146155406341291. The next prime is 146155406341327. The reversal of 146155406341321 is 123143604551641.

146155406341321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 119622234468025 + 26533171873296 = 10937195^2 + 5151036^2 .

It is a cyclic number.

It is not a de Polignac number, because 146155406341321 - 27 = 146155406341193 is a prime.

It is a super-2 number, since 2×1461554063413212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146155406341327) 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, 54721071 + ... + 57329803.

It is an arithmetic number, because the mean of its divisors is an integer number (5082120358245).

Almost surely, 2146155406341321 is an apocalyptic number.

It is an amenable number.

146155406341321 is a deficient number, since it is larger than the sum of its proper divisors (16472445122519).

146155406341321 is a wasteful number, since it uses less digits than its factorization.

146155406341321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609485.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 146155406341321 in words is "one hundred forty-six trillion, one hundred fifty-five billion, four hundred six million, three hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 13 37 269 433 481 3497 5629 9953 16021 116477 129389 208273 1514201 2608733 4309649 33913529 56025437 96523121 701749177 1129581389 1254800573 9122739301 14684558057 25964719549 41794511393 303857393641 337541354137 543328648109 3950146117333 11242723564717 146155406341321