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1301432012240 = 24540942194477
BaseRepresentation
bin10010111100000011011…
…001001000110111010000
311121102020000221012201112
4102330003121020313100
5132310313043342430
62433511500352452
7163011461403233
oct22740331106720
94542200835645
101301432012240
11461a30496188
12190286b45728
13959559a3a69
1446dbd83141a
1523cbe9e0195
hex12f03648dd0

1301432012240 has 80 divisors (see below), whose sum is σ = 3040464542160. Its totient is φ = 518061035520.

The previous prime is 1301432012201. The next prime is 1301432012269. The reversal of 1301432012240 is 422102341031.

It can be written as a sum of positive squares in 8 ways, for example, as 16500943936 + 1284931068304 = 128456^2 + 1133548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13727882 + ... + 13822358.

It is an arithmetic number, because the mean of its divisors is an integer number (38005806777).

Almost surely, 21301432012240 is an apocalyptic number.

1301432012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301432012240 is an abundant number, since it is smaller than the sum of its proper divisors (1739032529920).

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

1301432012240 is a wasteful number, since it uses less digits than its factorization.

1301432012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95320 (or 95314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1301432012240 its reverse (422102341031), we get a palindrome (1723534353271).

The spelling of 1301432012240 in words is "one trillion, three hundred one billion, four hundred thirty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 421 818 842 1636 1684 2045 2105 3272 3368 4090 4210 6544 6736 8180 8420 16360 16840 32720 33680 94477 172189 188954 344378 377908 472385 688756 755816 860945 944770 1377512 1511632 1721890 1889540 2755024 3443780 3779080 6887560 7558160 13775120 38641093 39774817 77282186 79549634 154564372 159099268 193205465 198874085 309128744 318198536 386410930 397748170 618257488 636397072 772821860 795496340 1545643720 1590992680 3091287440 3181985360 16267900153 32535800306 65071600612 81339500765 130143201224 162679001530 260286402448 325358003060 650716006120 1301432012240