Search a number
-
+
3407376255744 = 28323192899471
BaseRepresentation
bin110001100101010111011…
…100111000101100000000
3110001202000220120021002010
4301211113130320230000
5421311301310140434
611125154350252520
7501113650203636
oct61452734705400
913052026507063
103407376255744
1110a40730801aa
124704574b7140
131b94113c0cc6
14bacbc999356
155d9789c99e9
hex31957738b00

3407376255744 has 72 divisors (see below), whose sum is σ = 9462876498432. Its totient is φ = 1086409815040.

The previous prime is 3407376255743. The next prime is 3407376255779. The reversal of 3407376255744 is 4475526737043.

It is a super-2 number, since 2×34073762557442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3407376255743) 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 7 ways as a sum of consecutive naturals, for example, 96432072 + ... + 96467399.

It is an arithmetic number, because the mean of its divisors is an integer number (131428840256).

Almost surely, 23407376255744 is an apocalyptic number.

It is an amenable number.

3407376255744 is an abundant number, since it is smaller than the sum of its proper divisors (6055500242688).

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

3407376255744 is a wasteful number, since it uses less digits than its factorization.

3407376255744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192899513 (or 192899499 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 57.

The spelling of 3407376255744 in words is "three trillion, four hundred seven billion, three hundred seventy-six million, two hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1472 2208 2944 4416 5888 8832 17664 192899471 385798942 578698413 771597884 1157396826 1543195768 2314793652 3086391536 4436687833 4629587304 6172783072 8873375666 9259174608 12345566144 13310063499 17746751332 18518349216 24691132288 26620126998 35493502664 37036698432 49382264576 53240253996 70987005328 74073396864 106480507992 141974010656 148146793728 212961015984 283948021312 425922031968 567896042624 851844063936 1135792085248 1703688127872 3407376255744