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13142503554024 = 23313471675366723
BaseRepresentation
bin1011111100111111101001…
…0000010111101111101000
31201112102002200002010111210
42333033322100113233220
53210311321402212044
643541325514153120
72524341330001125
oct277177220275750
951472080063453
1013142503554024
1142077826a5049
121583131a227a0
13744443122410
14336159d4b74c
1517bd000871b9
hexbf3fa417be8

13142503554024 has 128 divisors (see below), whose sum is σ = 36352900362240. Its totient is φ = 3934107762432.

The previous prime is 13142503553983. The next prime is 13142503554067. The reversal of 13142503554024 is 42045530524131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234474 + ... + 5132249.

It is an arithmetic number, because the mean of its divisors is an integer number (284007034080).

Almost surely, 213142503554024 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 13142503554024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176450181120).

13142503554024 is an abundant number, since it is smaller than the sum of its proper divisors (23210396808216).

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

13142503554024 is a wasteful number, since it uses less digits than its factorization.

13142503554024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366959 (or 5366955 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 13142503554024 in words is "thirteen trillion, one hundred forty-two billion, five hundred three million, five hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 167 188 282 312 334 376 501 564 611 668 1002 1128 1222 1336 1833 2004 2171 2444 3666 4008 4342 4888 6513 7332 7849 8684 13026 14664 15698 17368 23547 26052 31396 47094 52104 62792 94188 102037 188376 204074 306111 408148 612222 816296 1224444 2448888 5366723 10733446 16100169 21466892 32200338 42933784 64400676 69767399 128801352 139534798 209302197 252235981 279069596 418604394 504471962 558139192 756707943 837208788 896242741 1008943924 1513415886 1674417576 1792485482 2017887848 2688728223 3026831772 3279067753 3584970964 5377456446 6053663544 6558135506 7169941928 9837203259 10754912892 11651155633 13116271012 19674406518 21509825784 23302311266 26232542024 34953466899 39348813036 42123408827 46604622532 69906933798 78697626072 84246817654 93209245064 126370226481 139813867596 168493635308 252740452962 279627735192 336987270616 505480905924 547604314751 1010961811848 1095208629502 1642812944253 2190417259004 3285625888506 4380834518008 6571251777012 13142503554024