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1350434251120 = 245711273675101
BaseRepresentation
bin10011101001101100001…
…001110110000101110000
311210002201002021212101211
4103221230021312011300
5134111142132013440
62512214140405504
7166365006511363
oct23515411660560
94702632255354
101350434251120
11480796a24569
12199881846894
139a464b0b696
144950b8380da
15251db996eea
hex13a6c276170

1350434251120 has 160 divisors (see below), whose sum is σ = 3218427150336. Its totient is φ = 526829184000.

The previous prime is 1350434251093. The next prime is 1350434251121. The reversal of 1350434251120 is 211524340531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350434251121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264736570 + ... + 264741670.

Almost surely, 21350434251120 is an apocalyptic number.

1350434251120 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 1350434251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609213575168).

1350434251120 is an abundant number, since it is smaller than the sum of its proper divisors (1867992899216).

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

1350434251120 is a wasteful number, since it uses less digits than its factorization.

1350434251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 1350434251120 its reverse (211524340531), we get a palindrome (1561958591651).

The spelling of 1350434251120 in words is "one trillion, three hundred fifty billion, four hundred thirty-four million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 127 142 254 284 355 367 508 568 635 710 734 1016 1136 1270 1420 1468 1835 2032 2540 2840 2936 3670 5080 5101 5680 5872 7340 9017 10160 10202 14680 18034 20404 25505 26057 29360 36068 40808 45085 46609 51010 52114 72136 81616 90170 93218 102020 104228 130285 144272 180340 186436 204040 208456 233045 260570 360680 362171 372872 408080 416912 466090 521140 647827 721360 724342 745744 932180 1042280 1295654 1448684 1810855 1864360 1872067 2084560 2591308 2897368 3239135 3309239 3621710 3728720 3744134 5182616 5794736 6478270 6618478 7243420 7488268 9360335 10365232 12956540 13236956 14486840 14976536 16546195 18720670 25913080 26473912 28973680 29953072 33092390 37441340 45995717 51826160 52947824 66184780 74882680 91991434 132369560 132916757 149765360 183982868 229978585 237752509 264739120 265833514 367965736 459957170 475505018 531667028 664583785 735931472 919914340 951010036 1063334056 1188762545 1329167570 1839828680 1902020072 2126668112 2377525090 2658335140 3679657360 3804040144 4755050180 5316670280 9510100360 10633340560 16880428139 19020200720 33760856278 67521712556 84402140695 135043425112 168804281390 270086850224 337608562780 675217125560 1350434251120