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1042404201774 = 23213171109236287
BaseRepresentation
bin11110010101101000010…
…00011101010100101110
310200122121221102001210200
433022310020131110232
5114034320433424044
62114512431414330
7135211514343315
oct17126410352456
93618557361720
101042404201774
11372098aa6351
1214a0370843a6
13773b54783b0
143864a04927c
151c1ae354369
hexf2b421d52e

1042404201774 has 96 divisors (see below), whose sum is σ = 2577684695040. Its totient is φ = 301599230976.

The previous prime is 1042404201743. The next prime is 1042404201799. The reversal of 1042404201774 is 4771024042401.

1042404201774 is a `hidden beast` number, since 1 + 0 + 42 + 404 + 201 + 7 + 7 + 4 = 666.

1042404201774 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4293459 + ... + 4529745.

It is an arithmetic number, because the mean of its divisors is an integer number (26850882240).

Almost surely, 21042404201774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042404201774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288842347520).

1042404201774 is an abundant number, since it is smaller than the sum of its proper divisors (1535280493266).

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

1042404201774 is a wasteful number, since it uses less digits than its factorization.

1042404201774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237434 (or 237431 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 1042404201774 in words is "one trillion, forty-two billion, four hundred four million, two hundred one thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1109 1326 1989 2218 3327 3978 6654 9981 14417 18853 19962 28834 37706 43251 56559 86502 113118 129753 169677 236287 245089 259506 339354 472574 490178 708861 735267 1417722 1470534 2126583 2205801 3071731 4016879 4253166 4411602 6143462 8033758 9215193 12050637 18430386 24101274 27645579 36151911 52219427 55291158 72303822 104438854 156658281 262042283 313316562 469974843 524084566 786126849 939949686 1572253698 2358380547 3406549679 4454718811 4716761094 6813099358 8909437622 10219649037 13364156433 20439298074 26728312866 30658947111 40092469299 57911344543 61317894222 80184938598 115822689086 173734033629 347468067258 521202100887 1042404201774