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1349480420880 = 2435311091664053
BaseRepresentation
bin10011101000110011010…
…011010001011000010000
311210000020121111021021220
4103220303103101120100
5134102213441432010
62511535344445040
7166332245213244
oct23506323213020
94700217437256
101349480420880
11480347575809
12199656319780
139a3423183a7
144945aca8424
1525182d85970
hex13a334d1610

1349480420880 has 160 divisors (see below), whose sum is σ = 4357957739520. Its totient is φ = 345057822720.

The previous prime is 1349480420857. The next prime is 1349480420941. The reversal of 1349480420880 is 880240849431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21067 + ... + 1642986.

It is an arithmetic number, because the mean of its divisors is an integer number (27237235872).

Almost surely, 21349480420880 is an apocalyptic number.

1349480420880 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 1349480420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178978869760).

1349480420880 is an abundant number, since it is smaller than the sum of its proper divisors (3008477318640).

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

1349480420880 is a wasteful number, since it uses less digits than its factorization.

1349480420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664209 (or 1664203 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 1349480420880 in words is "one trillion, three hundred forty-nine billion, four hundred eighty million, four hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 109 120 124 155 186 218 240 248 310 327 372 436 465 496 545 620 654 744 872 930 1090 1240 1308 1488 1635 1744 1860 2180 2480 2616 3270 3379 3720 4360 5232 6540 6758 7440 8720 10137 13080 13516 16895 20274 26160 27032 33790 40548 50685 54064 67580 81096 101370 135160 162192 202740 270320 405480 810960 1664053 3328106 4992159 6656212 8320265 9984318 13312424 16640530 19968636 24960795 26624848 33281060 39937272 49921590 51585643 66562120 79874544 99843180 103171286 133124240 154756929 181381777 199686360 206342572 257928215 309513858 362763554 399372720 412685144 515856430 544145331 619027716 725527108 773784645 825370288 906908885 1031712860 1088290662 1238055432 1451054216 1547569290 1813817770 2063425720 2176581324 2476110864 2720726655 2902108432 3095138580 3627635540 4126851440 4353162648 5441453310 5622835087 6190277160 7255271080 8706325296 10882906620 11245670174 12380554320 14510542160 16868505261 21765813240 22491340348 28114175435 33737010522 43531626480 44982680696 56228350870 67474021044 84342526305 89965361392 112456701740 134948042088 168685052610 224913403480 269896084176 337370105220 449826806960 674740210440 1349480420880