Search a number
-
+
4338680465031 = 3111746116776211
BaseRepresentation
bin111111001000101101100…
…000100000011010000111
3120100202220002201221111020
4333020231200200122013
51032041104144340111
613121055015442223
7625313355314523
oct77105540403207
916322802657436
104338680465031
11142302a016840
125a0a47386373
1325619c4c2073
1410ddc96c4d83
1577cd43a2906
hex3f22d820687

4338680465031 has 32 divisors (see below), whose sum is σ = 6696526991616. Its totient is φ = 2469458112000.

The previous prime is 4338680464991. The next prime is 4338680465059. The reversal of 4338680465031 is 1305640868334.

It is not a de Polignac number, because 4338680465031 - 217 = 4338680333959 is a prime.

It is a super-2 number, since 2×43386804650312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338680460031) 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 31 ways as a sum of consecutive naturals, for example, 8129485 + ... + 8646726.

It is an arithmetic number, because the mean of its divisors is an integer number (209266468488).

Almost surely, 24338680465031 is an apocalyptic number.

4338680465031 is a deficient number, since it is larger than the sum of its proper divisors (2357846526585).

4338680465031 is a wasteful number, since it uses less digits than its factorization.

4338680465031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16776703.

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 4338680465031 in words is "four trillion, three hundred thirty-eight billion, six hundred eighty million, four hundred sixty-five thousand, thirty-one".

Divisors: 1 3 11 17 33 51 187 461 561 1383 5071 7837 15213 23511 86207 258621 16776211 50328633 184538321 285195587 553614963 855586761 3137151457 7733833271 9411454371 23201499813 85072165981 131475165607 255216497943 394425496821 1446226821677 4338680465031