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57406130588240 = 2457227943947843
BaseRepresentation
bin11010000110101111010000…
…00001011000101001010000
321112020222020221110202120122
431003113220001120221100
530011020223412310430
6322032002354525412
715043312300631420
oct1503275001305120
9245228227422518
1057406130588240
1117322892162485
126531838b96868
1326054b4818b35
141026685cc6480
156983ea087ee5
hex3435e8058a50

57406130588240 has 160 divisors (see below), whose sum is σ = 153227689943040. Its totient is φ = 19592911084032.

The previous prime is 57406130588189. The next prime is 57406130588243. The reversal of 57406130588240 is 4288503160475.

It is a super-2 number, since 2×574061305882402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57406130588243) 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, 1199861759 + ... + 1199909601.

It is an arithmetic number, because the mean of its divisors is an integer number (957673062144).

Almost surely, 257406130588240 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 57406130588240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76613844971520).

57406130588240 is an abundant number, since it is smaller than the sum of its proper divisors (95821559354800).

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

57406130588240 is a wasteful number, since it uses less digits than its factorization.

57406130588240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57529 (or 57523 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 57406130588240 in words is "fifty-seven trillion, four hundred six billion, one hundred thirty million, five hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 227 280 454 560 908 1135 1589 1816 2270 3178 3632 4540 6356 7945 9080 9439 12712 15890 18160 18878 25424 31780 37756 47195 47843 63560 66073 75512 94390 95686 127120 132146 151024 188780 191372 239215 264292 330365 334901 377560 382744 478430 528584 660730 669802 755120 765488 956860 1057168 1321460 1339604 1674505 1913720 2142653 2642920 2679208 3349010 3827440 4285306 5285840 5358416 6698020 8570612 10713265 10860361 13396040 14998571 17141224 21426530 21720722 26792080 29997142 34282448 42853060 43441444 54301805 59994284 74992855 76022527 85706120 86882888 108603610 119988568 149985710 152045054 171412240 173765776 217207220 239977136 299971420 304090108 380112635 434414440 451590077 599942840 608180216 760225270 868828880 903180154 1199885680 1216360432 1520450540 1806360308 2257950385 3040901080 3161130539 3612720616 4515900770 6081802160 6322261078 7225441232 9031801540 12644522156 15805652695 18063603080 25289044312 31611305390 36127206160 50578088624 63222610780 102510947479 126445221560 205021894958 252890443120 410043789916 512554737395 717576632353 820087579832 1025109474790 1435153264706 1640175159664 2050218949580 2870306529412 3587883161765 4100437899160 5740613058824 7175766323530 8200875798320 11481226117648 14351532647060 28703065294120 57406130588240