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23343001410040 = 23513671949343769
BaseRepresentation
bin1010100111010111101110…
…10011101001100111111000
310001122120100220101202220021
411103223313103221213320
511024422431330110130
6121351343220140224
74626322223116624
oct523536723514770
9101576326352807
1023343001410040
11748a790821914
122750043b37674
13100430a781060
145a9b43316184
152a7311ee237a
hex153af74e99f8

23343001410040 has 128 divisors (see below), whose sum is σ = 57435716520000. Its totient is φ = 8485932331008.

The previous prime is 23343001410011. The next prime is 23343001410061. The reversal of 23343001410040 is 4001410034332.

It is a junction number, because it is equal to n+sod(n) for n = 23343001409987 and 23343001410014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67731276 + ... + 68075044.

Almost surely, 223343001410040 is an apocalyptic number.

23343001410040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23343001410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28717858260000).

23343001410040 is an abundant number, since it is smaller than the sum of its proper divisors (34092715109960).

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

23343001410040 is a wasteful number, since it uses less digits than its factorization.

23343001410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345809 (or 345805 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23343001410040 its reverse (4001410034332), we get a palindrome (27344411444372).

The spelling of 23343001410040 in words is "twenty-three trillion, three hundred forty-three billion, one million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 520 536 670 871 1340 1742 1949 2680 3484 3898 4355 6968 7796 8710 9745 15592 17420 19490 25337 34840 38980 50674 77960 101348 126685 130583 202696 253370 261166 343769 506740 522332 652915 687538 1013480 1044664 1305830 1375076 1697579 1718845 2611660 2750152 3395158 3437690 4468997 5223320 6790316 6875380 8487895 8937994 13580632 13750760 16975790 17875988 22344985 23032523 33951580 35751976 44689970 46065046 67903160 89379940 92130092 115162615 178759880 184260184 230325230 299422799 460650460 598845598 670005781 921300920 1197691196 1340011562 1497113995 2395382392 2680023124 2994227990 3350028905 5360046248 5988455980 6700057810 8710075153 11976911960 13400115620 17420150306 26800231240 34840300612 43550375765 44890387327 69680601224 87100751530 89780774654 174201503060 179561549308 224451936635 348403006120 359123098616 448903873270 583575035251 897807746540 1167150070502 1795615493080 2334300141004 2917875176255 4668600282008 5835750352510 11671500705020 23343001410040