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15005421014144 = 271161917216897
BaseRepresentation
bin1101101001011011100011…
…0010100000110010000000
31222010111121120221102122012
43122112320302200302000
53431322100234423034
651525221212432052
73106051215100421
oct332267062406200
958114546842565
1015005421014144
114865843a76760
121824199178628
1384b00b369862
1439c3a284b648
151b04d3530cce
hexda5b8ca0c80

15005421014144 has 64 divisors (see below), whose sum is σ = 32663898885600. Its totient is φ = 6809626705920.

The previous prime is 15005421014123. The next prime is 15005421014147. The reversal of 15005421014144 is 44141012450051.

It is a tau number, because it is divible by the number of its divisors (64).

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 15005421014144.

It is not an unprimeable number, because it can be changed into a prime (15005421014147) 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, 7736897 + ... + 9480000.

Almost surely, 215005421014144 is an apocalyptic number.

It is an amenable number.

15005421014144 is an abundant number, since it is smaller than the sum of its proper divisors (17658477871456).

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

15005421014144 is a wasteful number, since it uses less digits than its factorization.

15005421014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17217541 (or 17217529 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 15005421014144 its reverse (44141012450051), we get a palindrome (59146433464195).

The spelling of 15005421014144 in words is "fifteen trillion, five billion, four hundred twenty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 619 704 1238 1408 2476 4952 6809 9904 13618 19808 27236 39616 54472 79232 108944 217888 435776 871552 17216897 34433794 68867588 137735176 189385867 275470352 378771734 550940704 757543468 1101881408 1515086936 2203762816 3030173872 6060347744 10657259243 12120695488 21314518486 24241390976 42629036972 85258073944 117229851673 170516147888 234459703346 341032295776 468919406692 682064591552 937838813384 1364129183104 1875677626768 3751355253536 7502710507072 15005421014144