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11402411440 = 245729369493
BaseRepresentation
bin10101001111010001…
…01111110110110000
31002102122122111221211
422213220233312300
5141323004131230
65123241125504
7552363620020
oct124750576660
932378574854
1011402411440
114921400532
122262789894
1310c9401724
147a2501a80
1546b07c42a
hex2a7a2fdb0

11402411440 has 80 divisors (see below), whose sum is σ = 30401679168. Its totient is φ = 3895999488.

The previous prime is 11402411389. The next prime is 11402411459. The reversal of 11402411440 is 4411420411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129334 + ... + 198826.

Almost surely, 211402411440 is an apocalyptic number.

11402411440 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 11402411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200839584).

11402411440 is an abundant number, since it is smaller than the sum of its proper divisors (18999267728).

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

11402411440 is a wasteful number, since it uses less digits than its factorization.

11402411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69806 (or 69800 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 11402411440 its reverse (4411420411), we get a palindrome (15813831851).

The spelling of 11402411440 in words is "eleven billion, four hundred two million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 293 560 586 1172 1465 2051 2344 2930 4102 4688 5860 8204 10255 11720 16408 20510 23440 32816 41020 69493 82040 138986 164080 277972 347465 486451 555944 694930 972902 1111888 1389860 1945804 2432255 2779720 3891608 4864510 5559440 7783216 9729020 19458040 20361449 38916080 40722898 81445796 101807245 142530143 162891592 203614490 285060286 325783184 407228980 570120572 712650715 814457960 1140241144 1425301430 1628915920 2280482288 2850602860 5701205720 11402411440