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11402225145 = 3354773103239
BaseRepresentation
bin10101001111010000…
…00010010111111001
31002102122022001102000
422213220002113321
5141322432201040
65123233131213
7552362212623
oct124750022771
932378261360
1011402225145
114921293573
1222626b9b09
1310c93679ac
147a2493c13
1546b042130
hex2a7a025f9

11402225145 has 128 divisors (see below), whose sum is σ = 21277900800. Its totient is φ = 5788952064.

The previous prime is 11402225143. The next prime is 11402225167. The reversal of 11402225145 is 54152220411.

It is a happy number.

11402225145 is a `hidden beast` number, since 1 + 1 + 402 + 2 + 251 + 4 + 5 = 666.

11402225145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11402225145 - 21 = 11402225143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11402225143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47707936 + ... + 47708174.

It is an arithmetic number, because the mean of its divisors is an integer number (166233600).

Almost surely, 211402225145 is an apocalyptic number.

11402225145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11402225145 is a deficient number, since it is larger than the sum of its proper divisors (9875675655).

11402225145 is a wasteful number, since it uses less digits than its factorization.

11402225145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11402225145 its reverse (54152220411), we get a palindrome (65554445556).

The spelling of 11402225145 in words is "eleven billion, four hundred two million, two hundred twenty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 47 73 103 135 141 219 235 239 309 365 423 515 657 705 717 927 1095 1195 1269 1545 1971 2115 2151 2781 3285 3431 3585 4635 4841 6345 6453 7519 9855 10293 10755 11233 13905 14523 17155 17447 22557 24205 24617 30879 32265 33699 37595 43569 51465 52341 56165 67671 72615 73851 87235 92637 101097 112785 123085 130707 154395 157023 168495 203013 217845 221553 261705 303291 338355 353393 369255 463185 471069 505485 653535 664659 785115 820009 1015065 1060179 1107765 1156999 1516455 1766965 1797041 2355345 2460027 3180537 3323295 3470997 4100045 5300895 5391123 5784995 7380081 8985205 9541611 10412991 12300135 15902685 16173369 17354985 22140243 26955615 31238973 36900405 47708055 48520107 52064955 80866845 84460927 110701215 156194865 242600535 253382781 422304635 760148343 1266913905 2280445029 3800741715 11402225145