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2457576040040 = 2351183101666277
BaseRepresentation
bin100011110000110010111…
…100100110011001101000
322200221102200220002202022
4203300302330212121220
5310231103431240130
65120554515324012
7342361011446102
oct43606274463150
98627380802668
102457576040040
11868285673250
123383652b0608
1314a9963a5254
1486d3960a572
1543dd941d7e5
hex23c32f26668

2457576040040 has 128 divisors (see below), whose sum is σ = 6165363496320. Its totient is φ = 874154112000.

The previous prime is 2457576039967. The next prime is 2457576040061. The reversal of 2457576040040 is 400406757542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2457576039973 and 2457576040000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3355382 + ... + 4021658.

It is an arithmetic number, because the mean of its divisors is an integer number (48166902315).

Almost surely, 22457576040040 is an apocalyptic number.

2457576040040 is a gapful number since it is divisible by the number (20) 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 2457576040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082681748160).

2457576040040 is an abundant number, since it is smaller than the sum of its proper divisors (3707787456280).

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

2457576040040 is a wasteful number, since it uses less digits than its factorization.

2457576040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666483 (or 666479 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 2457576040040 in words is "two trillion, four hundred fifty-seven billion, five hundred seventy-six million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 101 110 166 202 220 332 404 415 440 505 664 808 830 913 1010 1111 1660 1826 2020 2222 3320 3652 4040 4444 4565 5555 7304 8383 8888 9130 11110 16766 18260 22220 33532 36520 41915 44440 67064 83830 92213 167660 184426 335320 368852 461065 666277 737704 922130 1332554 1844260 2665108 3331385 3688520 5330216 6662770 7329047 13325540 14658094 26651080 29316188 36645235 55300991 58632376 67293977 73290470 110601982 134587954 146580940 221203964 269175908 276504955 293161880 336469885 442407928 538351816 553009910 608310901 672939770 740233747 1106019820 1216621802 1345879540 1480467494 2212039640 2433243604 2691759080 2960934988 3041554505 3701168735 4866487208 5585400091 5921869976 6083109010 7402337470 11170800182 12166218020 14804674940 22341600364 24332436040 27927000455 29609349880 44683200728 55854000910 61439401001 111708001820 122878802002 223416003640 245757604004 307197005005 491515208008 614394010010 1228788020020 2457576040040