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12406156771440 = 2435293156756467
BaseRepresentation
bin1011010010001000100010…
…0100010100000001110000
31121221000110101200212110010
42310202020210110001300
53111230302113141230
642215150523134520
72420213062423335
oct264421044240160
947830411625403
1012406156771440
113a53470084763
121484490974440
136bcb84726a43
1430c66571c98c
15167aa50bc9b0
hexb4888914070

12406156771440 has 160 divisors (see below), whose sum is σ = 39787226311680. Its totient is φ = 3194071114752.

The previous prime is 12406156771433. The next prime is 12406156771441. The reversal of 12406156771440 is 4417765160421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12406156771440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406156771441) 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, 219678087 + ... + 219734553.

It is an arithmetic number, because the mean of its divisors is an integer number (248670164448).

Almost surely, 212406156771440 is an apocalyptic number.

12406156771440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12406156771440 is an abundant number, since it is smaller than the sum of its proper divisors (27381069540240).

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

12406156771440 is a wasteful number, since it uses less digits than its factorization.

12406156771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88079 (or 88073 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 12406156771440 in words is "twelve trillion, four hundred six billion, one hundred fifty-six million, seven hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 31567 56467 63134 94701 112934 126268 157835 169401 189402 225868 252536 282335 315670 338802 378804 451736 473505 505072 564670 631340 677604 757608 847005 903472 915443 947010 1129340 1262680 1355208 1515216 1637543 1694010 1830886 1894020 2258680 2525360 2710416 2746329 3275086 3388020 3661772 3788040 4517360 4577215 4912629 5492658 6550172 6776040 7323544 7576080 8187715 9154430 9825258 10985316 13100344 13552080 13731645 14647088 16375430 18308860 19650516 21970632 24563145 26200688 27463290 32750860 36617720 39301032 43941264 49126290 54926580 65501720 73235440 78602064 98252580 109853160 131003440 196505160 219706320 393010320 1782493789 3564987578 5347481367 7129975156 8912468945 10694962734 14259950312 17824937890 21389925468 26737406835 28519900624 35649875780 42779850936 51692319881 53474813670 71299751560 85559701872 103384639762 106949627340 142599503120 155076959643 206769279524 213899254680 258461599405 310153919286 413538559048 427798509360 516923198810 620307838572 775384798215 827077118096 1033846397620 1240615677144 1550769596430 2067692795240 2481231354288 3101539192860 4135385590480 6203078385720 12406156771440