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1280998403344 = 241122928872
BaseRepresentation
bin10010101001000001011…
…101000110110100010000
311112110110222111022220001
4102221001131012310100
5131441441042401334
62420252121255344
7161356222525402
oct22510135066420
94473428438801
101280998403344
114542a5226400
12188323934554
1393a4a51b01a
1446001b16b72
15234c5b72714
hex12a41746d10

1280998403344 has 135 divisors (see below), whose sum is σ = 2828581045381. Its totient is φ = 561559841920.

The previous prime is 1280998403303. The next prime is 1280998403389. The reversal of 1280998403344 is 4433048990821.

The square root of 1280998403344 is 1131812.

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

It can be written as a sum of positive squares in only one way, i.e., 671724489744 + 609273913600 = 819588^2 + 780560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1444191669 + ... + 1444192555.

Almost surely, 21280998403344 is an apocalyptic number.

1280998403344 is the 1131812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1280998403344

1280998403344 is an abundant number, since it is smaller than the sum of its proper divisors (1547582642037).

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

1280998403344 is an frugal number, since it uses more digits than its factorization.

1280998403344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 1280998403344 in words is "one trillion, two hundred eighty billion, nine hundred ninety-eight million, four hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 841 887 968 1276 1682 1774 1936 2552 3364 3509 3548 5104 6728 7018 7096 9251 9757 13456 14036 14192 18502 19514 25723 28072 37004 39028 51446 56144 74008 78056 101761 102892 107327 148016 156112 203522 205784 214654 282953 407044 411568 429308 565906 745967 786769 814088 858616 1131812 1491934 1573538 1628176 1717232 2263624 2983868 3112483 3147076 4527248 5967736 6224966 6294152 8205637 8654459 11935472 12449932 12588304 16411274 17308918 22816301 24899864 32822548 34617836 45632602 49799728 65645096 69235672 90262007 91265204 95199049 131290192 138471344 180524014 182530408 190398098 250979311 361048028 365060816 380796196 501958622 661672729 722096056 761592392 1003917244 1323345458 1444192112 1523184784 2007834488 2646690916 2760772421 4015668976 5293381832 5521544842 7278400019 10586763664 11043089684 14556800038 22086179368 29113600076 44172358736 58227200152 80062400209 116454400304 160124800418 320249600836 640499201672 1280998403344