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130440500719440 = 243515832153159469
BaseRepresentation
bin11101101010001010001011…
…101101011010111101010000
3122002211222201202211101012120
4131222022023231122331100
5114044114121141010230
61141231312213054240
736322005131064642
oct3552121355327520
9562758652741176
10130440500719440
113862056209658a
12127682ab927380
1357a2642920472
14242d4d5230892
1510130cb8d5310
hex76a28bb5af50

130440500719440 has 160 divisors (see below), whose sum is σ = 404811466836480. Its totient is φ = 34745796169728.

The previous prime is 130440500719429. The next prime is 130440500719471. The reversal of 130440500719440 is 44917005044031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130440500719392 and 130440500719401.

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, 817888026 + ... + 818047494.

It is an arithmetic number, because the mean of its divisors is an integer number (2530071667728).

Almost surely, 2130440500719440 is an apocalyptic number.

130440500719440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440500719440 is an abundant number, since it is smaller than the sum of its proper divisors (274370966117040).

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

130440500719440 is a wasteful number, since it uses less digits than its factorization.

130440500719440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163221 (or 163215 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 130440500719440 in words is "one hundred thirty trillion, four hundred forty billion, five hundred million, seven hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1583 2153 3166 4306 4749 6332 6459 7915 8612 9498 10765 12664 12918 15830 17224 18996 21530 23745 25328 25836 31660 32295 34448 37992 43060 47490 51672 63320 64590 75984 86120 94980 103344 126640 129180 159469 172240 189960 258360 318938 379920 478407 516720 637876 797345 956814 1275752 1594690 1913628 2392035 2551504 3189380 3408199 3827256 4784070 6378760 6816398 7654512 9568140 10224597 12757520 13632796 17040995 19136280 20449194 27265592 34081990 38272560 40898388 51122985 54531184 68163980 81796776 102245970 136327960 163593552 204491940 252439427 272655920 343336757 408983880 504878854 686673514 757318281 817967760 1009757708 1030010271 1262197135 1373347028 1514636562 1716683785 2019515416 2060020542 2524394270 2746694056 3029273124 3433367570 3786591405 4039030832 4120041084 5048788540 5150051355 5493388112 6058546248 6866735140 7573182810 8240082168 10097577080 10300102710 12117092496 13733470280 15146365620 16480164336 20195154160 20600205420 27466940560 30292731240 41200410840 60585462480 82400821680 543502086331 1087004172662 1630506258993 2174008345324 2717510431655 3261012517986 4348016690648 5435020863310 6522025035972 8152531294965 8696033381296 10870041726620 13044050071944 16305062589930 21740083453240 26088100143888 32610125179860 43480166906480 65220250359720 130440500719440