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11440431410144 = 251161532806977
BaseRepresentation
bin1010011001111010111011…
…0110011010101111100000
31111111200202100001111021012
42212132232312122233200
52444420000420111034
640155354525120052
72260354361330552
oct246365666325740
944450670044235
1011440431410144
113710950309160
1213492953b9028
1364ca9c303009
142b7a113254d2
1514c8d28a4cce
hexa67aed9abe0

11440431410144 has 48 divisors (see below), whose sum is σ = 24973728672816. Its totient is φ = 5114946969600.

The previous prime is 11440431410141. The next prime is 11440431410159. The reversal of 11440431410144 is 44101413404411.

It is a super-2 number, since 2×114404314101442 (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 11440431410144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440431410141) 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, 266382017 + ... + 266424960.

It is an arithmetic number, because the mean of its divisors is an integer number (520286014017).

Almost surely, 211440431410144 is an apocalyptic number.

It is an amenable number.

11440431410144 is an abundant number, since it is smaller than the sum of its proper divisors (13533297262672).

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

11440431410144 is a wasteful number, since it uses less digits than its factorization.

11440431410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532807059 (or 532807051 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 11440431410144 its reverse (44101413404411), we get a palindrome (55541844814555).

The spelling of 11440431410144 in words is "eleven trillion, four hundred forty billion, four hundred thirty-one million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 21472 532806977 1065613954 2131227908 4262455816 5860876747 8524911632 11721753494 17049823264 23443506988 32501225597 46887013976 65002451194 93774027952 130004902388 187548055904 260009804776 357513481567 520019609552 715026963134 1040039219104 1430053926268 2860107852536 5720215705072 11440431410144