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1406674806740 = 225737491553073
BaseRepresentation
bin10100011110000100010…
…110100010011111010100
311222110212120211002222022
4110132010112202133110
5141021332222303430
62554114550552312
7203425466401010
oct24360426423724
94873776732868
101406674806740
114a26272903a5
121a8758668698
13a2858730b68
144c124cb5540
15268ce1404e5
hex147845a27d4

1406674806740 has 96 divisors (see below), whose sum is σ = 3474331225344. Its totient is φ = 468297123840.

The previous prime is 1406674806701. The next prime is 1406674806749. The reversal of 1406674806740 is 476084766041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406674806749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2266844 + ... + 2819916.

It is an arithmetic number, because the mean of its divisors is an integer number (36190950264).

Almost surely, 21406674806740 is an apocalyptic number.

1406674806740 is a gapful number since it is divisible by the number (10) 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 1406674806740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737165612672).

1406674806740 is an abundant number, since it is smaller than the sum of its proper divisors (2067656418604).

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

1406674806740 is a wasteful number, since it uses less digits than its factorization.

1406674806740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553617 (or 553615 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 1406674806740 in words is "one trillion, four hundred six billion, six hundred seventy-four million, eight hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 491 518 740 982 1036 1295 1964 2455 2590 3437 4910 5180 6874 9820 13748 17185 18167 34370 36334 68740 72668 90835 127169 181670 254338 363340 508676 553073 635845 1106146 1271690 2212292 2543380 2765365 3871511 5530730 7743022 11061460 15486044 19357555 20463701 38715110 40927402 77430220 81854804 102318505 143245907 204637010 271558843 286491814 409274020 543117686 572983628 716229535 1086235372 1357794215 1432459070 1900911901 2715588430 2864918140 3801823802 5431176860 7603647604 9504559505 10047677191 19009119010 20095354382 38018238020 40190708764 50238385955 70333740337 100476771910 140667480674 200953543820 281334961348 351668701685 703337403370 1406674806740