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4123107380 = 2257281311337
BaseRepresentation
bin1111010111000001…
…1010000000110100
3101122100100120000202
43311300122000310
531421003414010
61521044300032
7204113556140
oct36560320064
911570316022
104123107380
111826428667
129709a1618
13509295b12
142b183c220
15191e916a5
hexf5c1a034

4123107380 has 96 divisors (see below), whose sum is σ = 9992166912. Its totient is φ = 1399910400.

The previous prime is 4123107349. The next prime is 4123107389. The reversal of 4123107380 is 837013214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123107389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12234572 + ... + 12234908.

It is an arithmetic number, because the mean of its divisors is an integer number (104085072).

Almost surely, 24123107380 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 4123107380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996083456).

4123107380 is an abundant number, since it is smaller than the sum of its proper divisors (5869059532).

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

4123107380 is a wasteful number, since it uses less digits than its factorization.

4123107380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 4123107380 is about 64211.4271761655. The cubic root of 4123107380 is about 1603.5218489454.

The spelling of 4123107380 in words is "four billion, one hundred twenty-three million, one hundred seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 311 337 562 622 674 1124 1244 1348 1405 1555 1685 1967 2177 2359 2810 3110 3370 3934 4354 4718 5620 6220 6740 7868 8708 9436 9835 10885 11795 19670 21770 23590 39340 43540 47180 87391 94697 104807 174782 189394 209614 349564 378788 419228 436955 473485 524035 611737 662879 733649 873910 946970 1048070 1223474 1325758 1467298 1747820 1893940 2096140 2446948 2651516 2934596 3058685 3314395 3668245 6117370 6628790 7336490 12234740 13257580 14672980 29450767 58901534 117803068 147253835 206155369 294507670 412310738 589015340 824621476 1030776845 2061553690 4123107380