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11301402333344 = 252915889766457
BaseRepresentation
bin1010010001110101000000…
…0100100101000010100000
31111000101220011022121202112
42210131100010211002200
52440130232444131334
640011443105334452
72244333166560254
oct244352004450240
944011804277675
1011301402333344
113667996a98a92
121326354937428
1363c94393a4b6
142b0dc2a36264
15148e9701e4ce
hexa47501250a0

11301402333344 has 48 divisors (see below), whose sum is σ = 23018343301800. Its totient is φ = 5455498911744.

The previous prime is 11301402333341. The next prime is 11301402333409. The reversal of 11301402333344 is 44333320410311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8784039308944 + 2517363024400 = 2963788^2 + 1586620^2 .

It is a super-2 number, since 2×113014023333442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11301402333344.

It is not an unprimeable number, because it can be changed into a prime (11301402333341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14361764 + ... + 15128220.

Almost surely, 211301402333344 is an apocalyptic number.

It is an amenable number.

11301402333344 is an abundant number, since it is smaller than the sum of its proper divisors (11716940968456).

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

11301402333344 is a wasteful number, since it uses less digits than its factorization.

11301402333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782385 (or 782377 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 11301402333344 its reverse (44333320410311), we get a palindrome (55634722743655).

The spelling of 11301402333344 in words is "eleven trillion, three hundred one billion, four hundred two million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 15889 31778 63556 127112 254224 460781 508448 766457 921562 1532914 1843124 3065828 3686248 6131656 7372496 12263312 14744992 22227253 24526624 44454506 88909012 177818024 355636048 711272096 12178235273 24356470546 48712941092 97425882184 194851764368 353168822917 389703528736 706337645834 1412675291668 2825350583336 5650701166672 11301402333344