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1319400147942 = 233536170110781
BaseRepresentation
bin10011001100110010011…
…000001000101111100110
311200010121021011002011000
4103030302120020233212
5133104112414213232
62450042444054130
7164215652133432
oct23146230105746
94603537132130
101319400147942
11469610a94508
12193860534346
139755a428916
1447c05d259c2
15244c21a227c
hex13332608be6

1319400147942 has 128 divisors (see below), whose sum is σ = 3040906976640. Its totient is φ = 423783360000.

The previous prime is 1319400147937. The next prime is 1319400147943. The reversal of 1319400147942 is 2497410049131.

1319400147942 is a `hidden beast` number, since 1 + 3 + 19 + 400 + 147 + 94 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319400147943) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 122376592 + ... + 122387372.

It is an arithmetic number, because the mean of its divisors is an integer number (23757085755).

Almost surely, 21319400147942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319400147942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520453488320).

1319400147942 is an abundant number, since it is smaller than the sum of its proper divisors (1721506828698).

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

1319400147942 is a wasteful number, since it uses less digits than its factorization.

1319400147942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1319400147942 in words is "one trillion, three hundred nineteen billion, four hundred million, one hundred forty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 61 106 122 159 183 318 366 477 549 701 954 1098 1402 1431 1647 2103 2862 3233 3294 4206 6309 6466 9699 10781 12618 18927 19398 21562 29097 32343 37153 37854 42761 58194 64686 74306 85522 87291 97029 111459 128283 174582 194058 222918 256566 291087 334377 384849 571393 582174 657641 668754 769698 1003131 1142786 1154547 1315282 1714179 1972923 2006262 2266333 2309094 3428358 3945846 4532666 5142537 5918769 6798999 7557481 10285074 11837538 13597998 15114962 15427611 17756307 20396997 22672443 30855222 34854973 35512614 40793994 45344886 61190991 68017329 69709946 104564919 122381982 136034658 204051987 209129838 313694757 400546493 408103974 461006341 627389514 801092986 922012682 941084271 1201639479 1383019023 1882168542 2403278958 2766038046 3604918437 4149057069 7209836874 8298114138 10814755311 12447171207 21629510622 24433336073 24894342414 48866672146 73300008219 146600016438 219900024657 439800049314 659700073971 1319400147942