Search a number
-
+
1134043400440 = 2351719702712491
BaseRepresentation
bin10000100000001010010…
…000010000100011111000
311000102011102201200202201
4100200022100100203320
5122040010102303230
62224550005435544
7144634436566606
oct20401220204370
94012142650681
101134043400440
113a7a43a31685
12163950a0bbb4
1382c2aa792c2
143cc60922876
151e7745745ca
hex1080a4108f8

1134043400440 has 128 divisors (see below), whose sum is σ = 2844518342400. Its totient is φ = 404373841920.

The previous prime is 1134043400411. The next prime is 1134043400461. The reversal of 1134043400440 is 440043404311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1134043400399 and 1134043400408.

It is a congruent number.

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, 90782595 + ... + 90795085.

It is an arithmetic number, because the mean of its divisors is an integer number (22222799550).

Almost surely, 21134043400440 is an apocalyptic number.

1134043400440 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 1134043400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422259171200).

1134043400440 is an abundant number, since it is smaller than the sum of its proper divisors (1710474941960).

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

1134043400440 is a wasteful number, since it uses less digits than its factorization.

1134043400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19565 (or 19561 counting only the distinct ones).

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

Adding to 1134043400440 its reverse (440043404311), we get a palindrome (1574086804751).

The spelling of 1134043400440 in words is "one trillion, one hundred thirty-four billion, forty-three million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 7027 12491 12920 14054 24982 28108 35135 49964 56216 62455 70270 99928 119459 124910 133513 140540 212347 237329 238918 249820 267026 281080 424694 474658 477836 499640 534052 597295 667565 849388 949316 955672 1061735 1068104 1186645 1194590 1335130 1698776 1898632 2123470 2269721 2373290 2389180 2670260 4034593 4246940 4539442 4746580 4778360 5340520 8069186 8493880 9078884 9493160 11348605 16138372 18157768 20172965 22697210 32276744 40345930 45394420 80691860 87774257 90788840 161383720 175548514 351097028 438871285 702194056 877742570 1492162369 1667710883 1755485140 2984324738 3335421766 3510970280 5968649476 6670843532 7460811845 8338554415 11937298952 13341687064 14921623690 16677108830 28351085011 29843247380 33354217660 56702170022 59686494760 66708435320 113404340044 141755425055 226808680088 283510850110 567021700220 1134043400440