Search a number
-
+
141114440000 = 26545416521
BaseRepresentation
bin1000001101101100010…
…0110111100101000000
3111111020111201022000202
42003123010313211000
54303000244040000
6144454352104332
713123642643342
oct2033304674500
9444214638022
10141114440000
1154934471436
1223422b350a8
13103cb72a451
146b89649292
153a0d9aadd5
hex20db137940

141114440000 has 140 divisors (see below), whose sum is σ = 350618506788. Its totient is φ = 56332800000.

The previous prime is 141114439997. The next prime is 141114440053. The reversal of 141114440000 is 44411141.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 81722800384 + 59391639616 = 285872^2 + 243704^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21636740 + ... + 21643260.

Almost surely, 2141114440000 is an apocalyptic number.

141114440000 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 141114440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175309253394).

141114440000 is an abundant number, since it is smaller than the sum of its proper divisors (209504066788).

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

141114440000 is an frugal number, since it uses more digits than its factorization.

141114440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 141114440000 its reverse (44411141), we get a palindrome (141158851141).

The spelling of 141114440000 in words is "one hundred forty-one billion, one hundred fourteen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 541 625 800 1000 1082 1250 1600 2000 2164 2500 2705 4000 4328 5000 5410 6521 8000 8656 10000 10820 13042 13525 17312 20000 21640 26084 27050 32605 34624 40000 43280 52168 54100 65210 67625 86560 104336 108200 130420 135250 163025 173120 208672 216400 260840 270500 326050 338125 417344 432800 521680 541000 652100 676250 815125 865600 1043360 1082000 1304200 1352500 1630250 2086720 2164000 2608400 2705000 3260500 3527861 4075625 4328000 5216800 5410000 6521000 7055722 8151250 10433600 10820000 13042000 14111444 16302500 17639305 21640000 26084000 28222888 32605000 35278610 52168000 56445776 65210000 70557220 88196525 112891552 130420000 141114440 176393050 225783104 260840000 282228880 352786100 440982625 564457760 705572200 881965250 1128915520 1411144400 1763930500 2204913125 2822288800 3527861000 4409826250 5644577600 7055722000 8819652500 14111444000 17639305000 28222888000 35278610000 70557220000 141114440000