Search a number
-
+
4751307631344 = 2434119931211381
BaseRepresentation
bin100010100100100000000…
…0000001110101011110000
3121211012221210112211021110
41011021000000032223300
51110321134223200334
614034415351553320
71000161555335511
oct105110000165360
917735853484243
104751307631344
11157202232307a
12648a0338b840
1328607abb2a41
14125d708c0a08
15838d4603ae9
hex4524000eaf0

4751307631344 has 80 divisors (see below), whose sum is σ = 12579901647264. Its totient is φ = 1544364134400.

The previous prime is 4751307631333. The next prime is 4751307631381. The reversal of 4751307631344 is 4431367031574.

It is a happy number.

It is a super-2 number, since 2×47513076313442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4751307631293 and 4751307631302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316534 + ... + 4527914.

Almost surely, 24751307631344 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 4751307631344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289950823632).

4751307631344 is an abundant number, since it is smaller than the sum of its proper divisors (7828594015920).

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

4751307631344 is a wasteful number, since it uses less digits than its factorization.

4751307631344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213426 (or 1213420 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 4751307631344 in words is "four trillion, seven hundred fifty-one billion, three hundred seven million, six hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 1993 3986 5979 7972 11958 15944 23916 31888 47832 81713 95664 163426 245139 326852 490278 653704 980556 1211381 1307408 1961112 2422762 3634143 3922224 4845524 7268286 9691048 14536572 19382096 29073144 49666621 58146288 99333242 148999863 198666484 297999726 397332968 595999452 794665936 1191998904 2383997808 2414282333 4828564666 7242846999 9657129332 14485693998 19314258664 28971387996 38628517328 57942775992 98985575653 115885551984 197971151306 296956726959 395942302612 593913453918 791884605224 1187826907836 1583769210448 2375653815672 4751307631344