Search a number
-
+
9349742479440 = 2435113541569121
BaseRepresentation
bin1000100000001110100000…
…0101000100100001010000
31020002211022121222121220210
42020003220011010201100
52211141233033320230
631515113513404120
71653332222536566
oct210035005044120
936084277877823
109349742479440
112a85226978470
121070061a09640
1352a8a52b478c
1424475c281a36
1511331cd12eb0
hex880e8144850

9349742479440 has 80 divisors (see below), whose sum is σ = 31619129121216. Its totient is φ = 2266604236800.

The previous prime is 9349742479439. The next prime is 9349742479513. The reversal of 9349742479440 is 449742479439.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770781921 + ... + 1770787200.

Almost surely, 29349742479440 is an apocalyptic number.

It is an amenable number.

9349742479440 is an abundant number, since it is smaller than the sum of its proper divisors (22269386641776).

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

9349742479440 is a wasteful number, since it uses less digits than its factorization.

9349742479440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541569148 (or 3541569142 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 9349742479440 in words is "nine trillion, three hundred forty-nine billion, seven hundred forty-two million, four hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3541569121 7083138242 10624707363 14166276484 17707845605 21249414726 28332552968 35415691210 38957260331 42498829452 53123536815 56665105936 70831382420 77914520662 84997658904 106247073630 116871780993 141662764840 155829041324 169995317808 194786301655 212494147260 233743561986 283325529680 311658082648 389572603310 424988294520 467487123972 584358904965 623316165296 779145206620 849976589040 934974247944 1168717809930 1558290413240 1869948495888 2337435619860 3116580826480 4674871239720 9349742479440