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413104122430544 = 2423411031242121401
BaseRepresentation
bin101110111101101110100110…
…0011110010000010001010000
32000011200100221120111011020202
41131323131030132100101100
5413121244220320234134
64022333225224354332
7153004534154522336
oct13573351436202120
92004610846434222
10413104122430544
1110a69a524567586
123a3ba41a9159a8
1314967722b025cc
1474024bbdd3b56
1532b5bbd8aad7e
hex177b74c790450

413104122430544 has 160 divisors (see below), whose sum is σ = 863975545026048. Its totient is φ = 190857047040000.

The previous prime is 413104122430543. The next prime is 413104122430577. The reversal of 413104122430544 is 445034221401314.

It is a junction number, because it is equal to n+sod(n) for n = 413104122430498 and 413104122430507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413104122430541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19303018244 + ... + 19303039644.

Almost surely, 2413104122430544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413104122430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431987772513024).

413104122430544 is an abundant number, since it is smaller than the sum of its proper divisors (450871422595504).

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

413104122430544 is a wasteful number, since it uses less digits than its factorization.

413104122430544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33997 (or 33991 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 413104122430544 its reverse (445034221401314), we get a palindrome (858138343831858).

The spelling of 413104122430544 in words is "four hundred thirteen trillion, one hundred four billion, one hundred twenty-two million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 103 164 184 206 328 368 412 656 824 943 1648 1886 2369 3772 4223 4738 7544 8446 9476 12421 15088 16892 18952 21401 24842 33784 37904 42802 49684 67568 85604 97129 99368 171208 194258 198736 285683 342416 388516 492223 509261 571366 777032 877441 984446 1018522 1142732 1279363 1554064 1754882 1968892 2037044 2204303 2285464 2558726 3509764 3937784 4074088 4408606 4570928 5117452 7019528 7875568 8148176 8817212 10234904 11713003 14039056 17634424 20181143 20469808 23426006 29425349 35268848 40362286 46852012 50698969 52453883 58850698 80724572 90376423 93704024 101397938 104907766 117701396 161449144 180752846 187408048 202795876 209815532 235402792 265821821 322898288 361505692 405591752 419631064 470805584 531643642 723011384 811183504 839262128 1063287284 1206439309 1446022768 2078657729 2126574568 2412878618 4157315458 4253149136 4825757236 6113901883 8314630916 9651514472 10898694661 12227803766 16629261832 19303028944 21797389322 24455607532 27379647563 33258523664 43594778644 48911215064 54759295126 87189557288 97822430128 109518590252 174379114576 219037180504 250669977203 438074361008 501339954406 629731893949 1002679908812 1122565550083 1259463787898 2005359817624 2245131100166 2518927575796 4010719635248 4490262200332 5037855151592 8980524400664 10075710303184 17961048801328 25819007651909 51638015303818 103276030607636 206552061215272 413104122430544