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13115525420440 = 23517431429313889
BaseRepresentation
bin1011111011011011001000…
…1110111101010110011000
31201102211110111221221120001
42332312302032331112120
53204341044001423230
643521104511142344
72522364642436342
oct276666216752630
951384414857501
1013115525420440
1141a72991a6a83
121579a62b149b4
13741a33b29671
14334b1ad9c292
1517b2718c10ca
hexbedb23bd598

13115525420440 has 128 divisors (see below), whose sum is σ = 31994933256000. Its totient is φ = 4819391152128.

The previous prime is 13115525420429. The next prime is 13115525420449. The reversal of 13115525420440 is 4402452551131.

It is a self number, because there is not a number n which added to its sum of digits gives 13115525420440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115525420449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41627016 + ... + 41940904.

Almost surely, 213115525420440 is an apocalyptic number.

13115525420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13115525420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15997466628000).

13115525420440 is an abundant number, since it is smaller than the sum of its proper divisors (18879407835560).

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

13115525420440 is a wasteful number, since it uses less digits than its factorization.

13115525420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315389 (or 315385 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 13115525420440 its reverse (4402452551131), we get a palindrome (17517977971571).

The spelling of 13115525420440 in words is "thirteen trillion, one hundred fifteen billion, five hundred twenty-five million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1429 1462 1720 2858 2924 3655 5716 5848 7145 7310 11432 14290 14620 24293 28580 29240 48586 57160 61447 97172 121465 122894 194344 242930 245788 307235 313889 485860 491576 614470 627778 971720 1044599 1228940 1255556 1569445 2089198 2457880 2511112 3138890 4178396 5222995 5336113 6277780 8356792 10445990 10672226 12555560 13497227 20891980 21344452 26680565 26994454 41783960 42688904 53361130 53988908 67486135 106722260 107977816 134972270 213444520 229452859 269944540 448547381 458905718 539889080 897094762 917811436 1147264295 1794189524 1835622872 2242736905 2294528590 3588379048 4485473810 4589057180 7625305477 8970947620 9178114360 15250610954 17941895240 19287537383 30501221908 38126527385 38575074766 61002443816 76253054770 77150149532 96437686915 152506109540 154300299064 192875373830 305012219080 327888135511 385750747660 655776271022 771501495320 1311552542044 1639440677555 2623105084088 3278881355110 6557762710220 13115525420440