Search a number
-
+
1410645542436 = 2232132152272
BaseRepresentation
bin10100100001110001000…
…001101100011000100100
311222212010022110101100100
4110201301001230120210
5141103000224324221
63000012553344100
7203626053161634
oct24416101543044
94885108411310
101410645542436
114a42846a6949
121a9486408030
13a303c277400
144c3c03ac6c4
1526a62a34926
hex1487106c624

1410645542436 has 81 divisors (see below), whose sum is σ = 3861443634321. Its totient is φ = 434016277344.

The previous prime is 1410645542429. The next prime is 1410645542459. The reversal of 1410645542436 is 6342455460141.

The square root of 1410645542436 is 1187706.

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

1410645542436 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 64 + 5 + 542 + 43 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208675376100 + 1201970166336 = 456810^2 + 1096344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1410645542391 and 1410645542400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92633455 + ... + 92648681.

Almost surely, 21410645542436 is an apocalyptic number.

1410645542436 is the 1187706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410645542436

1410645542436 is an abundant number, since it is smaller than the sum of its proper divisors (2450798091885).

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

1410645542436 is an equidigital number, since it uses as much as digits as its factorization.

1410645542436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30490 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1410645542436 in words is "one trillion, four hundred ten billion, six hundred forty-five million, five hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 15227 30454 45681 60908 91362 137043 182724 197951 274086 395902 548172 593853 791804 1187706 1781559 2375412 2573363 3563118 5146726 7126236 7720089 10293452 15440178 23160267 30880356 46320534 92641068 231861529 463723058 695584587 927446116 1391169174 2086753761 2782338348 3014199877 4173507522 6028399754 8347015044 9042599631 12056799508 18085199262 27127798893 36170398524 39184598401 54255597786 78369196802 108511195572 117553795203 156738393604 235107590406 352661385609 470215180812 705322771218 1410645542436