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1402356430216 = 2374123759021
BaseRepresentation
bin10100011010000010111…
…101001111010110001000
311222001201122000212001001
4110122002331033112020
5140434011221231331
62552122245104344
7203213461660000
oct24320275172610
94861648025031
101402356430216
114a0810711185
121a79523b80b4
13a231ab79191
144bc35567000
1526729e7b561
hex14682f4f588

1402356430216 has 80 divisors (see below), whose sum is σ = 3070003950540. Its totient is φ = 600513863040.

The previous prime is 1402356430187. The next prime is 1402356430333. The reversal of 1402356430216 is 6120346532041.

It can be written as a sum of positive squares in 2 ways, for example, as 1400781134116 + 1575296100 = 1183546^2 + 39690^2 .

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 19 ways as a sum of consecutive naturals, for example, 23730786 + ... + 23789806.

Almost surely, 21402356430216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402356430216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535001975270).

1402356430216 is an abundant number, since it is smaller than the sum of its proper divisors (1667647520324).

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

1402356430216 is an equidigital number, since it uses as much as digits as its factorization.

1402356430216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60292 (or 60267 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 1402356430216 in words is "one trillion, four hundred two billion, three hundred fifty-six million, four hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1237 1372 2401 2474 2744 4802 4948 8659 9604 9896 17318 19208 34636 59021 60613 69272 118042 121226 236084 242452 413147 424291 472168 484904 826294 848582 1652588 1697164 2892029 2970037 3305176 3394328 5784058 5940074 11568116 11880148 20244203 23136232 23760296 40488406 73008977 80976812 141709421 146017954 161953624 283418842 292035908 511062839 566837684 584071816 1022125678 1133675368 2044251356 3577439873 4088502712 7154879746 14309759492 25042079111 28619518984 50084158222 100168316444 175294553777 200336632888 350589107554 701178215108 1402356430216