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1144023030200 = 235267838910177
BaseRepresentation
bin10000101001011101000…
…101100001100110111000
311001100220221011102011202
4100221131011201212320
5122220424343431300
62233320143513332
7145436646211241
oct20513505414670
94040827142152
101144023030200
114011a51a3186
12165876bb8848
1383b5b48397b
143d52a0a1cc8
151eb5a75bad5
hex10a5d1619b8

1144023030200 has 96 divisors (see below), whose sum is σ = 2700139940400. Its totient is φ = 450681200640.

The previous prime is 1144023030187. The next prime is 1144023030221. The reversal of 1144023030200 is 20303204411.

It is a super-2 number, since 2×11440230302002 (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 112407512 + ... + 112417688.

Almost surely, 21144023030200 is an apocalyptic number.

1144023030200 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 1144023030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350069970200).

1144023030200 is an abundant number, since it is smaller than the sum of its proper divisors (1556116910200).

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

1144023030200 is a wasteful number, since it uses less digits than its factorization.

1144023030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18649 (or 18640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1144023030200 its reverse (20303204411), we get a palindrome (1164326234611).

The spelling of 1144023030200 in words is "one trillion, one hundred forty-four billion, twenty-three million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 8389 10177 13400 16778 20354 33556 40708 41945 50885 67112 81416 83890 101770 167780 203540 209725 254425 335560 407080 419450 508850 562063 681859 838900 1017700 1124126 1363718 1677800 2035400 2248252 2727436 2810315 3409295 4496504 5454872 5620630 6818590 11241260 13637180 14051575 17046475 22482520 27274360 28103150 34092950 56206300 68185900 85374853 112412600 136371800 170749706 341499412 426874265 682998824 853748530 1707497060 2134371325 3414994120 4268742650 5720115151 8537485300 11440230302 17074970600 22880460604 28600575755 45760921208 57201151510 114402303020 143002878775 228804606040 286005757550 572011515100 1144023030200