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1341420376362 = 2311732112395521
BaseRepresentation
bin10011100001010010111…
…000101001000100101010
311202020102220002120210120
4103201102320221010222
5133434212104020422
62504123502024110
7165625435032213
oct23412270510452
94666386076716
101341420376362
11477990916aa0
12197b86b78036
1399659510c91
1448cd465040a
1524d6047945c
hex13852e2912a

1341420376362 has 128 divisors (see below), whose sum is σ = 2993902940160. Its totient is φ = 397281024000.

The previous prime is 1341420376267. The next prime is 1341420376367. The reversal of 1341420376362 is 2636730241431.

It is a happy number.

It is a super-2 number, since 2×13414203763622 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1341420376367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242964162 + ... + 242969682.

It is an arithmetic number, because the mean of its divisors is an integer number (23389866720).

Almost surely, 21341420376362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341420376362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496951470080).

1341420376362 is an abundant number, since it is smaller than the sum of its proper divisors (1652482563798).

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

1341420376362 is a wasteful number, since it uses less digits than its factorization.

1341420376362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 1341420376362 in words is "one trillion, three hundred forty-one billion, four hundred twenty million, three hundred seventy-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 73 146 211 219 239 422 438 478 633 717 803 1266 1434 1606 2321 2409 2629 4642 4818 5258 5521 6963 7887 11042 13926 15403 15774 16563 17447 30806 33126 34894 46209 50429 52341 60731 92418 100858 104682 121462 151287 169433 182193 191917 302574 338866 364386 383834 403033 508299 554719 575751 806066 1016598 1109438 1151502 1164931 1209099 1319519 1664157 2329862 2418198 2639038 3328314 3494793 3681317 3958557 4433363 6989586 7362634 7917114 8866726 11043951 12814241 13300089 14514709 22087902 25628482 26600178 29029418 38442723 40494487 43544127 76885446 80988974 85039963 87088254 96324887 121483461 170079926 192649774 242966922 255119889 278418509 288974661 510239778 556837018 577949322 835255527 935439593 1059573757 1670511054 1870879186 2119147514 2806318779 3062603599 3178721271 5612637558 6125207198 6357442542 9187810797 18375621594 20324551157 40649102314 60973653471 121947306942 223570062727 447140125454 670710188181 1341420376362