Search a number
-
+
11404300433448 = 23313157279183417
BaseRepresentation
bin1010010111110100010101…
…0001101011100000101000
31111101020111022020200222010
42211331011101223200220
52443322001402332243
640131021400555520
72254635124154226
oct245750521534050
944336438220863
1011404300433448
1136a759a31563a
121342291182ba0
136495619a3c70
142b5d84935b16
1514b9ba8c0433
hexa5f4546b828

11404300433448 has 128 divisors (see below), whose sum is σ = 30910893592320. Its totient is φ = 3485374064640.

The previous prime is 11404300433447. The next prime is 11404300433467. The reversal of 11404300433448 is 84433400340411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (11404300433441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136672636 + ... + 136756052.

It is an arithmetic number, because the mean of its divisors is an integer number (241491356190).

Almost surely, 211404300433448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404300433448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15455446796160).

11404300433448 is an abundant number, since it is smaller than the sum of its proper divisors (19506593158872).

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

11404300433448 is a wasteful number, since it uses less digits than its factorization.

11404300433448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86387 (or 86383 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 11404300433448 its reverse (84433400340411), we get a palindrome (95837700773859).

The spelling of 11404300433448 in words is "eleven trillion, four hundred four billion, three hundred million, four hundred thirty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 157 312 314 471 628 942 1256 1884 2041 2791 3768 4082 5582 6123 8164 8373 11164 12246 16328 16746 22328 24492 33492 36283 48984 66984 72566 83417 108849 145132 166834 217698 250251 290264 333668 435396 438187 500502 667336 870792 876374 1001004 1084421 1314561 1752748 2002008 2168842 2629122 3253263 3505496 4337684 5258244 5696431 6506526 8675368 10516488 11392862 13013052 13096469 17089293 22785724 26026104 26192938 34178586 39289407 45571448 52385876 68357172 78578814 104771752 136714344 157157628 170254097 232816847 314315256 340508194 465633694 510762291 681016388 698450541 931267388 1021524582 1362032776 1396901082 1862534776 2043049164 2793802164 3026619011 4086098328 5587604328 6053238022 9079857033 12106476044 18159714066 24212952088 36319428132 36552244979 72638856264 73104489958 109656734937 146208979916 219313469874 292417959832 438626939748 475179184727 877253879496 950358369454 1425537554181 1900716738908 2851075108362 3801433477816 5702150216724 11404300433448