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1134444134010 = 2351113957143313
BaseRepresentation
bin10000100000100010001…
…000111011111001111010
311000110012100210001212210
4100200202020323321322
5122041320144242020
62225053442515550
7144650404015215
oct20404210737172
94013170701783
101134444134010
113a812a158750
12163a43065bb6
1382c92ab6765
143cc9bc3877c
151e7998303e0
hex1082223be7a

1134444134010 has 128 divisors (see below), whose sum is σ = 2996857543680. Its totient is φ = 272553753600.

The previous prime is 1134444134009. The next prime is 1134444134051. The reversal of 1134444134010 is 104314444311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26170114 + ... + 26213426.

It is an arithmetic number, because the mean of its divisors is an integer number (23412949560).

Almost surely, 21134444134010 is an apocalyptic number.

1134444134010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134444134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498428771840).

1134444134010 is an abundant number, since it is smaller than the sum of its proper divisors (1862413409670).

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

1134444134010 is a wasteful number, since it uses less digits than its factorization.

1134444134010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44044.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1134444134010 its reverse (104314444311), we get a palindrome (1238758578321).

The spelling of 1134444134010 in words is "one trillion, one hundred thirty-four billion, four hundred forty-four million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 278 330 417 571 695 834 1142 1390 1529 1713 2085 2855 3058 3426 4170 4587 5710 6281 7645 8565 9174 12562 15290 17130 18843 22935 31405 37686 43313 45870 62810 79369 86626 94215 129939 158738 188430 216565 238107 259878 396845 433130 476214 476443 649695 793690 873059 952886 1190535 1299390 1429329 1746118 2381070 2382215 2619177 2858658 4365295 4764430 5238354 6020507 7146645 8730590 12041014 13095885 14293290 18061521 24731723 26191770 30102535 36123042 49463446 60205070 66225577 74195169 90307605 123658615 132451154 148390338 180615210 198676731 247317230 272048953 331127885 370975845 397353462 544097906 662255770 741951690 816146859 993383655 1360244765 1632293718 1986767310 2720489530 3437709497 4080734295 6875418994 8161468590 10313128491 17188547485 20626256982 34377094970 37814804467 51565642455 75629608934 103131284910 113444413401 189074022335 226888826802 378148044670 567222067005 1134444134010