Search a number
-
+
1613366154144 = 253223253995929
BaseRepresentation
bin10111011110100100000…
…111011101001110100000
312201020101021001110111100
4113132210013131032200
5202413133213413034
63233100431514400
7224363501016333
oct27364407351640
95636337043440
101613366154144
11572252151978
12220821088a00
13b91a81189a4
145813192a61a
152be79c61099
hex177a41dd3a0

1613366154144 has 144 divisors (see below), whose sum is σ = 4789424203200. Its totient is φ = 514198637568.

The previous prime is 1613366154047. The next prime is 1613366154173. The reversal of 1613366154144 is 4414516633161.

It is a happy number.

1613366154144 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 3 + 6 + 61 + 541 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1613366154144.

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, 16770372 + ... + 16866300.

It is an arithmetic number, because the mean of its divisors is an integer number (33259890300).

Almost surely, 21613366154144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613366154144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394712101600).

1613366154144 is an abundant number, since it is smaller than the sum of its proper divisors (3176058049056).

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

1613366154144 is a wasteful number, since it uses less digits than its factorization.

1613366154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98507 (or 98496 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1613366154144 in words is "one trillion, six hundred thirteen billion, three hundred sixty-six million, one hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 2539 3312 5078 6624 7617 10156 15234 20312 22851 30468 40624 45702 58397 60936 81248 91404 95929 116794 121872 175191 182808 191858 233588 243744 287787 350382 365616 383716 467176 525573 575574 700764 731232 767432 863361 934352 1051146 1151148 1401528 1534864 1726722 1868704 2102292 2206367 2302296 2803056 3069728 3453444 4204584 4412734 4604592 5606112 6619101 6906888 8409168 8825468 9209184 13238202 13813776 16818336 17650936 19857303 26476404 27627552 35301872 39714606 52952808 70603744 79429212 105905616 158858424 211811232 243563731 317716848 487127462 635433696 730691193 974254924 1461382386 1948509848 2192073579 2922764772 3897019696 4384147158 5601965813 5845529544 7794039392 8768294316 11203931626 11691059088 16805897439 17536588632 22407863252 23382118176 33611794878 35073177264 44815726504 50417692317 67223589756 70146354528 89631453008 100835384634 134447179512 179262906016 201670769268 268894359024 403341538536 537788718048 806683077072 1613366154144