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10411113323440 = 2451631483538367
BaseRepresentation
bin1001011110000000011010…
…1101100001101110110000
31100212021220101110221121001
42113200012231201232300
52331033430002322230
634050444402211344
72123115044054224
oct227400655415660
940767811427531
1010411113323440
113354368065845
1212018b0953b54
135a69c101b19b
1427dc87260784
15130c3c3130ca
hex97806b61bb0

10411113323440 has 80 divisors (see below), whose sum is σ = 24370808168448. Its totient is φ = 4136098007808.

The previous prime is 10411113323431. The next prime is 10411113323459. The reversal of 10411113323440 is 4432331111401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10411113323399 and 10411113323408.

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, 19069137 + ... + 19607503.

Almost surely, 210411113323440 is an apocalyptic number.

10411113323440 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 10411113323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185404084224).

10411113323440 is an abundant number, since it is smaller than the sum of its proper divisors (13959694845008).

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

10411113323440 is a wasteful number, since it uses less digits than its factorization.

10411113323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540026 (or 540020 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10411113323440 its reverse (4432331111401), we get a palindrome (14843444434841).

The spelling of 10411113323440 in words is "ten trillion, four hundred eleven billion, one hundred thirteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1483 1630 2608 2966 3260 5932 6520 7415 11864 13040 14830 23728 29660 59320 118640 241729 483458 538367 966916 1076734 1208645 1933832 2153468 2417290 2691835 3867664 4306936 4834580 5383670 8613872 9669160 10767340 19338320 21534680 43069360 87753821 175507642 351015284 438769105 702030568 798398261 877538210 1404061136 1596796522 1755076420 3193593044 3510152840 3991991305 6387186088 7020305680 7983982610 12774372176 15967965220 31935930440 63871860880 130138916543 260277833086 520555666172 650694582715 1041111332344 1301389165430 2082222664688 2602778330860 5205556661720 10411113323440