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287400774144 = 29311149114161
BaseRepresentation
bin1000010111010100110…
…10111100101000000000
31000110211110021001001110
410023222122330220000
514202044044233034
6340010300003320
726523026162421
oct4135232745000
91013743231043
10287400774144
11100982276450
1247849b30540
13211427ac993
14dca5add648
157721524de9
hex42ea6bca00

287400774144 has 160 divisors (see below), whose sum is σ = 840871627200. Its totient is φ = 86505881600.

The previous prime is 287400774121. The next prime is 287400774169. The reversal of 287400774144 is 441477004782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 287400774093 and 287400774102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460424 + ... + 2574584.

It is an arithmetic number, because the mean of its divisors is an integer number (5255447670).

Almost surely, 2287400774144 is an apocalyptic number.

287400774144 is a gapful number since it is divisible by the number (24) 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 287400774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420435813600).

287400774144 is an abundant number, since it is smaller than the sum of its proper divisors (553470853056).

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

287400774144 is a wasteful number, since it uses less digits than its factorization.

287400774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114342 (or 114326 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 48.

The spelling of 287400774144 in words is "two hundred eighty-seven billion, four hundred million, seven hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 256 264 298 352 384 447 512 528 596 704 768 894 1056 1192 1408 1536 1639 1788 2112 2384 2816 3278 3576 4224 4768 4917 5632 6556 7152 8448 9536 9834 13112 14304 16896 19072 19668 26224 28608 38144 39336 52448 57216 76288 78672 104896 114161 114432 157344 209792 228322 228864 314688 342483 419584 456644 629376 684966 839168 913288 1255771 1258752 1369932 1826576 2511542 2517504 2739864 3653152 3767313 5023084 5479728 7306304 7534626 10046168 10959456 14612608 15069252 17009989 20092336 21918912 29225216 30138504 34019978 40184672 43837824 51029967 58450432 60277008 68039956 80369344 87675648 102059934 120554016 136079912 160738688 175351296 187109879 204119868 241108032 272159824 321477376 374219758 408239736 482216064 544319648 561329637 642954752 748439516 816479472 964432128 1088639296 1122659274 1496879032 1632958944 1928864256 2177278592 2245318548 2993758064 3265917888 4354557184 4490637096 5987516128 6531835776 8709114368 8981274192 11975032256 13063671552 17962548384 23950064512 26127343104 35925096768 47900129024 71850193536 95800258048 143700387072 287400774144