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43104241120 = 2552333734757
BaseRepresentation
bin101000001001001101…
…101000010111100000
311010021000020022202211
4220021031220113200
51201234141203440
631445105251504
73054110001313
oct501115502740
9133230208684
1043104241120
111730a247376
12842b633b94
1340ac233b25
14212c98a97a
1511c42bbeea
hexa093685e0

43104241120 has 96 divisors (see below), whose sum is σ = 106579706688. Its totient is φ = 16442646528.

The previous prime is 43104241087. The next prime is 43104241127. The reversal of 43104241120 is 2114240134.

It is a happy number.

It is a super-3 number, since 3×431042411203 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43104241091 and 43104241100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43104241127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222782 + ... + 1257538.

It is an arithmetic number, because the mean of its divisors is an integer number (1110205278).

Almost surely, 243104241120 is an apocalyptic number.

43104241120 is a gapful number since it is divisible by the number (40) 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 43104241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53289853344).

43104241120 is an abundant number, since it is smaller than the sum of its proper divisors (63475465568).

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

43104241120 is a wasteful number, since it uses less digits than its factorization.

43104241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35132 (or 35124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 43104241120 its reverse (2114240134), we get a palindrome (45218481254).

The spelling of 43104241120 in words is "forty-three billion, one hundred four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 337 368 460 674 736 920 1348 1685 1840 2696 3370 3680 5392 6740 7751 10784 13480 15502 26960 31004 34757 38755 53920 62008 69514 77510 124016 139028 155020 173785 248032 278056 310040 347570 556112 620080 695140 799411 1112224 1240160 1390280 1598822 2780560 3197644 3997055 5561120 6395288 7994110 11713109 12790576 15988220 23426218 25581152 31976440 46852436 58565545 63952880 93704872 117131090 127905760 187409744 234262180 269401507 374819488 468524360 538803014 937048720 1077606028 1347007535 1874097440 2155212056 2694015070 4310424112 5388030140 8620848224 10776060280 21552120560 43104241120