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4142354240 = 265372711291
BaseRepresentation
bin1111011011100111…
…0100111101000000
3101200200120101202102
43312321310331000
531440420313430
61523013005532
7204436300343
oct36671647500
911620511672
104142354240
111836284062
129773238a8
135102744ab
142b420c45a
151939e4345
hexf6e74f40

4142354240 has 112 divisors (see below), whose sum is σ = 10175833344. Its totient is φ = 1604966400.

The previous prime is 4142354221. The next prime is 4142354273. The reversal of 4142354240 is 424532414.

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, 3207995 + ... + 3209285.

Almost surely, 24142354240 is an apocalyptic number.

4142354240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087916672).

4142354240 is an abundant number, since it is smaller than the sum of its proper divisors (6033479104).

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

4142354240 is a wasteful number, since it uses less digits than its factorization.

4142354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 4142354240 is about 64361.1236694948. The cubic root of 4142354240 is about 1606.0130818035.

Adding to 4142354240 its reverse (424532414), we get a palindrome (4566886654).

The spelling of 4142354240 in words is "four billion, one hundred forty-two million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 271 296 320 370 542 592 740 1084 1184 1291 1355 1480 2168 2368 2582 2710 2960 4336 5164 5420 5920 6455 8672 10027 10328 10840 11840 12910 17344 20054 20656 21680 25820 40108 41312 43360 47767 50135 51640 80216 82624 86720 95534 100270 103280 160432 191068 200540 206560 238835 320864 349861 382136 401080 413120 477670 641728 699722 764272 802160 955340 1399444 1528544 1604320 1749305 1910680 2798888 3057088 3208640 3498610 3821360 5597776 6997220 7642720 11195552 12944857 13994440 15285440 22391104 25889714 27988880 51779428 55977760 64724285 103558856 111955520 129448570 207117712 258897140 414235424 517794280 828470848 1035588560 2071177120 4142354240