Search a number
-
+
1407713434332 = 2233726312055231
BaseRepresentation
bin10100011111000010010…
…000100101101011011100
311222120112222011212011220
4110133002100211223130
5141030444114344312
62554410012213340
7203463310522542
oct24370220455334
94876488155156
101407713434332
114a300a597707
121a89a846a250
13a2992973cba
144c1c2bd9d92
1526940401c8c
hex147c2425adc

1407713434332 has 48 divisors (see below), whose sum is σ = 3386266447872. Its totient is φ = 454819717440.

The previous prime is 1407713434223. The next prime is 1407713434333. The reversal of 1407713434332 is 2334343177041.

It is a happy number.

It is a super-2 number, since 2×14077134343322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407713434333) 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 15 ways as a sum of consecutive naturals, for example, 5910844 + ... + 6144387.

It is an arithmetic number, because the mean of its divisors is an integer number (70547217664).

Almost surely, 21407713434332 is an apocalyptic number.

1407713434332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1407713434332 is an abundant number, since it is smaller than the sum of its proper divisors (1978553013540).

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

1407713434332 is a wasteful number, since it uses less digits than its factorization.

1407713434332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12055538 (or 12055536 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 1407713434332 in words is "one trillion, four hundred seven billion, seven hundred thirteen million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 263 444 526 789 1052 1578 3156 9731 19462 29193 38924 58386 116772 12055231 24110462 36165693 48220924 72331386 144662772 446043547 892087094 1338130641 1784174188 2676261282 3170525753 5352522564 6341051506 9511577259 12682103012 19023154518 38046309036 117309452861 234618905722 351928358583 469237811444 703856717166 1407713434332