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13044224013400 = 23525910429105997
BaseRepresentation
bin1011110111010001100001…
…0101101011010001011000
31201012000102101210011211201
42331310120111223101120
53202204032321412100
643424233410403544
72514262013456146
oct275643025532130
951160371704751
1013044224013400
11417a02a4365a8
1215680842905b4
137380acba3798
143314b55ba596
1517949bde336a
hexbdd1856b458

13044224013400 has 96 divisors (see below), whose sum is σ = 30845100006000. Its totient is φ = 5128713976320.

The previous prime is 13044224013371. The next prime is 13044224013407. The reversal of 13044224013400 is 431042244031.

13044224013400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130442240134002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044224013407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123009202 + ... + 123115198.

Almost surely, 213044224013400 is an apocalyptic number.

13044224013400 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 13044224013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422550003000).

13044224013400 is an abundant number, since it is smaller than the sum of its proper divisors (17800875992600).

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

13044224013400 is a wasteful number, since it uses less digits than its factorization.

13044224013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116501 (or 116492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13044224013400 its reverse (431042244031), we get a palindrome (13475266257431).

The spelling of 13044224013400 in words is "thirteen trillion, forty-four billion, two hundred twenty-four million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 5900 10429 11800 20858 41716 52145 83432 104290 105997 208580 211994 260725 417160 423988 521450 529985 615311 847976 1042900 1059970 1230622 2085800 2119940 2461244 2649925 3076555 4239880 4922488 5299850 6153110 6253823 10599700 12306220 12507646 15382775 21199400 24612440 25015292 30765550 31269115 50030584 61531100 62538230 123062200 125076460 156345575 250152920 312691150 625382300 1105442713 1250764600 2210885426 4421770852 5527213565 8843541704 11054427130 22108854260 27636067825 44217708520 55272135650 65221120067 110544271300 130442240134 221088542600 260884480268 326105600335 521768960536 652211200670 1304422401340 1630528001675 2608844802680 3261056003350 6522112006700 13044224013400