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1311433156540 = 2251327139114759
BaseRepresentation
bin10011000101010111100…
…000011110011110111100
311122101001000211222112101
4103011113200132132330
5132441303342002130
62442244123514444
7163514351622313
oct23052740363674
94571030758471
101311433156540
114661a29119a1
121921b8388a24
139688a9a2020
144768bbb127a
15241a7a271ca
hex1315781e7bc

1311433156540 has 96 divisors (see below), whose sum is σ = 2978187448320. Its totient is φ = 482209977600.

The previous prime is 1311433156531. The next prime is 1311433156567. The reversal of 1311433156540 is 456513341131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311433156540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275566681 + ... + 275571439.

It is an arithmetic number, because the mean of its divisors is an integer number (31022785920).

Almost surely, 21311433156540 is an apocalyptic number.

1311433156540 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 1311433156540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489093724160).

1311433156540 is an abundant number, since it is smaller than the sum of its proper divisors (1666754291780).

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

1311433156540 is a wasteful number, since it uses less digits than its factorization.

1311433156540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 1311433156540 its reverse (456513341131), we get a palindrome (1767946497671).

The spelling of 1311433156540 in words is "one trillion, three hundred eleven billion, four hundred thirty-three million, one hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 1084 1355 2710 3523 3911 4759 5420 7046 7822 9518 14092 15644 17615 19036 19555 23795 35230 39110 47590 50843 61867 70460 78220 95180 101686 123734 203372 247468 254215 309335 508430 618670 1016860 1059881 1237340 1289689 2119762 2579378 4239524 5158756 5299405 6448445 10598810 12896890 13778453 16765957 18612449 21197620 25793780 27556906 33531914 37224898 55113812 67063828 68892265 74449796 83829785 93062245 137784530 167659570 186124490 241961837 275569060 335319140 372248980 483923674 967847348 1209809185 2419618370 4839236740 5043973679 10087947358 20175894716 25219868395 50439736790 65571657827 100879473580 131143315654 262286631308 327858289135 655716578270 1311433156540