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1410345741042 = 233714935370937
BaseRepresentation
bin10100100001011111001…
…010000010101011110010
311222211100102022220011000
4110201133022002223302
5141101342002203132
62555523123502430
7203615453000250
oct24413712025362
94884312286130
101410345741042
114a41404486a7
121a9401b27a16
13a2cc2118b34
144c39264b5d0
1526a4656487c
hex1485f282af2

1410345741042 has 128 divisors (see below), whose sum is σ = 3616135488000. Its totient is φ = 399112040448.

The previous prime is 1410345741031. The next prime is 1410345741059. The reversal of 1410345741042 is 2401475430141.

1410345741042 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 34 + 574 + 10 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1410345740988 and 1410345741006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19846198 + ... + 19917134.

It is an arithmetic number, because the mean of its divisors is an integer number (28251058500).

Almost surely, 21410345741042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410345741042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808067744000).

1410345741042 is an abundant number, since it is smaller than the sum of its proper divisors (2205789746958).

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

1410345741042 is a wasteful number, since it uses less digits than its factorization.

1410345741042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71457 (or 71451 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1410345741042 in words is "one trillion, four hundred ten billion, three hundred forty-five million, seven hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 353 378 447 706 894 1043 1059 1341 2086 2118 2471 2682 3129 3177 4023 4942 6258 6354 7413 8046 9387 9531 14826 18774 19062 22239 28161 44478 52597 56322 66717 70937 105194 133434 141874 157791 212811 315582 368179 425622 473373 496559 638433 736358 946746 993118 1104537 1276866 1420119 1489677 1915299 2209074 2840238 2979354 3313611 3830598 4469031 6627222 8938062 9940833 10569613 13407093 19881666 21139226 25040761 26814186 31708839 50081522 63417678 73987291 75122283 95126517 147974582 150244566 175285327 190253034 221961873 225366849 285379551 350570654 443923746 450733698 525855981 570759102 665885619 676100547 1051711962 1331771238 1352201094 1577567943 1997656857 3155135886 3731073389 3995313714 4732703829 7462146778 9465407658 11193220167 22386440334 26117513723 33579660501 52235027446 67159321002 78352541169 100738981503 156705082338 201477963006 235057623507 470115247014 705172870521 1410345741042