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455140411344 = 24351031311351
BaseRepresentation
bin1101001111110000111…
…10111000011111010000
31121111210111222111100000
412213320132320133100
524424111421130334
6545031050330000
744611542443523
oct6477036703720
91544714874300
10455140411344
11166029995593
1274261729900
1333bc535c288
14180594a4bba
15bc8c6cd299
hex69f87b87d0

455140411344 has 120 divisors (see below), whose sum is σ = 1321181813952. Its totient is φ = 151685395200.

The previous prime is 455140411337. The next prime is 455140411387. The reversal of 455140411344 is 443114041554.

455140411344 is a `hidden beast` number, since 4 + 5 + 514 + 0 + 4 + 1 + 134 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 455140411299 and 455140411308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40091269 + ... + 40102619.

Almost surely, 2455140411344 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 455140411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660590906976).

455140411344 is an abundant number, since it is smaller than the sum of its proper divisors (866041402608).

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

455140411344 is a wasteful number, since it uses less digits than its factorization.

455140411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21687 (or 21669 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 455140411344 its reverse (443114041554), we get a palindrome (898254452898).

The spelling of 455140411344 in words is "four hundred fifty-five billion, one hundred forty million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 10313 11351 20626 22702 30939 34053 41252 45404 61878 68106 82504 90808 92817 102159 123756 136212 165008 181616 185634 204318 247512 272424 278451 306477 371268 408636 495024 544848 556902 612954 742536 817272 835353 919431 1113804 1225908 1485072 1634544 1670706 1838862 2227608 2451816 2506059 2758293 3341412 3677724 4455216 4903632 5012118 5516586 6682824 7355448 10024236 11033172 13365648 14710896 20048472 22066344 40096944 44132688 117062863 234125726 351188589 468251452 702377178 936502904 1053565767 1404754356 1873005808 2107131534 2809508712 3160697301 4214263068 5619017424 6321394602 8428526136 9482091903 12642789204 16857052272 18964183806 25285578408 28446275709 37928367612 50571156816 56892551418 75856735224 113785102836 151713470448 227570205672 455140411344