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40414030705540 = 22519735647257993
BaseRepresentation
bin10010011000001100111111…
…11100011011001110000100
312022002112200021202001222001
421030012133330123032010
520244120413330034130
6221541541023115044
711340550233010552
oct1114063774331604
9168075607661861
1040414030705540
1111971548818188
124648615142a84
1319720469a5b1b
149da099c68bd2
154a13dd2b16ca
hex24c19ff1b384

40414030705540 has 96 divisors (see below), whose sum is σ = 90576450961920. Its totient is φ = 15102265522176.

The previous prime is 40414030705507. The next prime is 40414030705541. The reversal of 40414030705540 is 4550703041404.

40414030705540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40414030705540.

It is not an unprimeable number, because it can be changed into a prime (40414030705541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156518784 + ... + 156776776.

It is an arithmetic number, because the mean of its divisors is an integer number (943504697520).

Almost surely, 240414030705540 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 40414030705540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45288225480960).

40414030705540 is an abundant number, since it is smaller than the sum of its proper divisors (50162420256380).

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

40414030705540 is a wasteful number, since it uses less digits than its factorization.

40414030705540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263741 (or 263739 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

Adding to 40414030705540 its reverse (4550703041404), we get a palindrome (44964733746944).

The spelling of 40414030705540 in words is "forty trillion, four hundred fourteen billion, thirty million, seven hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2774 5548 5647 6935 11294 13870 22588 27740 28235 56470 107293 112940 214586 257993 412231 429172 515986 536465 824462 1031972 1072930 1289965 1648924 2061155 2145860 2579930 4122310 4901867 5159860 7832389 8244620 9803734 15664778 18833489 19607468 24509335 31329556 37666978 39161945 49018670 75333956 78323890 94167445 98037340 156647780 188334890 357836291 376669780 715672582 1431345164 1456886471 1789181455 2913772942 3578362910 5827545884 7156725820 7284432355 14568864710 27680842949 29137729420 55361685898 106352712383 110723371796 138404214745 212705424766 276808429490 425410849532 531763561915 553616858980 1063527123830 2020701535277 2127054247660 4041403070554 8082806141108 10103507676385 20207015352770 40414030705540