Search a number
-
+
1452335205342 = 237195969144641
BaseRepresentation
bin10101001000100101111…
…011001000101111011110
312010211201201220200121110
4111020211323020233132
5142243340303032332
63031105451442450
7206633135362440
oct25104573105736
95124651820543
101452335205342
1150aa283a770a
121b5580156426
13a6c543c70b8
1450417130490
1527ba2a2c4cc
hex15225ec8bde

1452335205342 has 128 divisors (see below), whose sum is σ = 3558788812800. Its totient is φ = 385882444800.

The previous prime is 1452335205341. The next prime is 1452335205359. The reversal of 1452335205342 is 2435025332541.

It is a self number, because there is not a number n which added to its sum of digits gives 1452335205342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452335205341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32511342 + ... + 32555982.

It is an arithmetic number, because the mean of its divisors is an integer number (27803037600).

Almost surely, 21452335205342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452335205342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779394406400).

1452335205342 is an abundant number, since it is smaller than the sum of its proper divisors (2106453607458).

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

1452335205342 is a wasteful number, since it uses less digits than its factorization.

1452335205342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45422.

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 1452335205342 in words is "one trillion, four hundred fifty-two billion, three hundred thirty-five million, two hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 266 354 399 413 691 798 826 1121 1239 1382 2073 2242 2478 3363 4146 4837 6726 7847 9674 13129 14511 15694 23541 26258 29022 39387 40769 44641 47082 78774 81538 89282 91903 122307 133923 183806 244614 267846 275709 285383 312487 551418 570766 624974 774611 848179 856149 937461 1549222 1696358 1712298 1874922 2323833 2544537 2633819 4647666 5089074 5267638 5422277 5937253 7901457 10844554 11874506 15802914 16266831 17811759 18436733 30846931 32533662 35623518 36873466 50042561 55310199 61693862 92540793 100085122 110620398 150127683 185081586 215928517 300255366 350297927 431857034 586091689 647785551 700595854 1050893781 1172183378 1295571102 1758275067 1819968929 2101787562 3516550134 3639937858 4102641823 5459906787 8205283646 10919813574 12307925469 12739782503 24615850938 25479565006 34579409651 38219347509 69158819302 76438695018 103738228953 207476457906 242055867557 484111735114 726167602671 1452335205342