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1294425001984 = 2122926132
BaseRepresentation
bin10010110101100001101…
…111100001000000000000
311120202010201000012200011
4102311201233201000000
5132201440300030414
62430352312034304
7162343025656012
oct22654157410000
94522121005604
101294425001984
11459a65193714
1218aa50392994
13950aa0b504a
1446916dac1b2
1523a0e78ddc4
hex12d61be1000

1294425001984 has 117 divisors (see below), whose sum is σ = 2685252196263. Its totient is φ = 623875424256.

The previous prime is 1294425001979. The next prime is 1294425001997. The reversal of 1294425001984 is 4891005244921.

The square root of 1294425001984 is 1137728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 542167142400 + 752257859584 = 736320^2 + 867328^2 .

It is a super-2 number, since 2×12944250019842 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2111622862 + ... + 2111623474.

Almost surely, 21294425001984 is an apocalyptic number.

1294425001984 is the 1137728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294425001984

1294425001984 is an abundant number, since it is smaller than the sum of its proper divisors (1390827194279).

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

1294425001984 is an frugal number, since it uses more digits than its factorization.

1294425001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 1294425001984 by its sum of digits (49), we get a square (63426825097216 = 79640962).

The spelling of 1294425001984 in words is "one trillion, two hundred ninety-four billion, four hundred twenty-five million, one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 613 841 928 1024 1226 1682 1856 2048 2452 3364 3712 4096 4904 6728 7424 9808 13456 14848 17777 19616 26912 29696 35554 39232 53824 59392 71108 78464 107648 118784 142216 156928 215296 284432 313856 375769 430592 515533 568864 627712 751538 861184 1031066 1137728 1255424 1503076 1722368 2062132 2275456 2510848 3006152 3444736 4124264 4550912 6012304 8248528 9101824 10897301 12024608 16497056 18203648 21794602 24049216 32994112 36407296 43589204 48098432 65988224 72814592 87178408 96196864 131976448 174356816 192393728 263952896 316021729 348713632 384787456 527905792 632043458 697427264 769574912 1055811584 1264086916 1394854528 1539149824 2111623168 2528173832 2789709056 5056347664 5579418112 10112695328 11158836224 20225390656 22317672448 40450781312 44635344896 80901562624 161803125248 323606250496 647212500992 1294425001984