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146355458280516 = 22346720972
BaseRepresentation
bin100001010001110000001001…
…000110100000110001000100
3201012012110000112020200010000
4201101300021012200301010
5123140341434304434031
61235134434102401300
742553555456240632
oct4121601106406104
9635173015220100
10146355458280516
11426a70017a1981
12144b8802a30230
1363883504063a4
14281d8db826352
1511dc0947a63e6
hex851c091a0c44

146355458280516 has 45 divisors (see below), whose sum is σ = 382602646932429. Its totient is φ = 48785080173696.

The previous prime is 146355458280509. The next prime is 146355458280541. The reversal of 146355458280516 is 615082854553641.

The square root of 146355458280516 is 12097746.

It is a perfect power (a square), and thus also a powerful number.

146355458280516 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 5 + 545 + 8 + 2 + 80 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140969791224900 + 5385667055616 = 11873070^2 + 2320704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 217423380 + ... + 218095476.

Almost surely, 2146355458280516 is an apocalyptic number.

146355458280516 is the 12097746-th square number.

It is an amenable number.

146355458280516 is an abundant number, since it is smaller than the sum of its proper divisors (236247188651913).

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

146355458280516 is an frugal number, since it uses more digits than its factorization.

146355458280516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344210 (or 672102 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 146355458280516 in words is "one hundred forty-six trillion, three hundred fifty-five billion, four hundred fifty-eight million, two hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 672097 1344194 2016291 2688388 4032582 6048873 8065164 12097746 18146619 24195492 36293238 54439857 72586476 108879714 217759428 451714377409 903428754818 1355143132227 1806857509636 2710286264454 4065429396681 5420572528908 8130858793362 12196288190043 16261717586724 24392576380086 36588864570129 48785152760172 73177729140258 146355458280516