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3339931993424 = 2413971031607183
BaseRepresentation
bin110000100110100011011…
…101011100010101010000
3102211021221121021202012122
4300212203131130111100
5414210140042242144
611034202113513412
7463205425345355
oct60464335342520
912737847252178
103339931993424
1110785035a1734
1245b374572868
131b2c535bc990
14b792158262c
155bd2c9547ee
hex309a375c550

3339931993424 has 80 divisors (see below), whose sum is σ = 7109101988352. Its totient is φ = 1510802509824.

The previous prime is 3339931993421. The next prime is 3339931993469. The reversal of 3339931993424 is 4243991399333.

It is a super-2 number, since 2×33399319934242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339931993421) 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, 1274537 + ... + 2881719.

Almost surely, 23339931993424 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 3339931993424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554550994176).

3339931993424 is an abundant number, since it is smaller than the sum of its proper divisors (3769169994928).

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

3339931993424 is a wasteful number, since it uses less digits than its factorization.

3339931993424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607404 (or 1607398 counting only the distinct ones).

The product of its digits is 51018336, while the sum is 62.

The spelling of 3339931993424 in words is "three trillion, three hundred thirty-nine billion, nine hundred thirty-one million, nine hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 97 103 104 194 206 208 388 412 776 824 1261 1339 1552 1648 2522 2678 5044 5356 9991 10088 10712 19982 20176 21424 39964 79928 129883 159856 259766 519532 1039064 1607183 2078128 3214366 6428732 12857464 20893379 25714928 41786758 83573516 155896751 165539849 167147032 311793502 331079698 334294064 623587004 662159396 1247174008 1324318792 2026657763 2152018037 2494348016 2648637584 4053315526 4304036074 8106631052 8608072148 16057365353 16213262104 17216144296 32114730706 32426524208 34432288592 64229461412 128458922824 208745749589 256917845648 417491499178 834982998356 1669965996712 3339931993424