Search a number
-
+
1245457252400 = 245231733313697
BaseRepresentation
bin10010000111111011000…
…010011000000000110000
311102001202001112210102012
4102013323002120000300
5130401144024034100
62352053303142052
7155660406654464
oct22077302300060
94361661483365
101245457252400
11440217171689
12181465144928
13905a51648aa
14443cd7c24a4
15225e584b135
hex121fb098030

1245457252400 has 120 divisors (see below), whose sum is σ = 3089380731264. Its totient is φ = 482011545600.

The previous prime is 1245457252397. The next prime is 1245457252439. The reversal of 1245457252400 is 42527545421.

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, 90922352 + ... + 90936048.

Almost surely, 21245457252400 is an apocalyptic number.

1245457252400 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 1245457252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544690365632).

1245457252400 is an abundant number, since it is smaller than the sum of its proper divisors (1843923478864).

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

1245457252400 is a wasteful number, since it uses less digits than its factorization.

1245457252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21079 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 41.

The spelling of 1245457252400 in words is "one trillion, two hundred forty-five billion, four hundred fifty-seven million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 7333 12400 13697 14666 27394 29332 36665 54788 58664 68485 73330 109576 117328 136970 146660 183325 219152 227323 273940 293320 342425 366650 424607 454646 547880 586640 684850 733300 849214 909292 1095760 1136615 1369700 1466600 1698428 1818584 2123035 2273230 2739400 2933200 3396856 3637168 4246070 4546460 5478800 5683075 6793712 8492140 9092920 10615175 11366150 16984280 18185840 21230350 22732300 33968560 42460700 45464600 84921400 90929200 100440101 169842800 200880202 401760404 502200505 803520808 1004401010 1607041616 2008802020 2511002525 3113643131 4017604040 5022005050 6227286262 8035208080 10044010100 12454572524 15568215655 20088020200 24909145048 31136431310 40176040400 49818290096 62272862620 77841078275 124545725240 155682156550 249091450480 311364313100 622728626200 1245457252400