Search a number
-
+
449475701940 = 22345277454137
BaseRepresentation
bin1101000101001101101…
…01101110110010110100
31120222011201211102220000
412202212311232302310
524331011234430230
6542253012111300
744321266266666
oct6424665566264
91528151742800
10449475701940
11163692352571
1273140605530
1333501899415
1417a7d014536
15ba5a225b60
hex68a6d6ecb4

449475701940 has 60 divisors (see below), whose sum is σ = 1410021929316. Its totient is φ = 119860186752.

The previous prime is 449475701903. The next prime is 449475701953. The reversal of 449475701940 is 49107574944.

449475701940 is a `hidden beast` number, since 4 + 494 + 75 + 70 + 19 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136240715664 + 313234986276 = 369108^2 + 559674^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138725449 + ... + 138728688.

Almost surely, 2449475701940 is an apocalyptic number.

It is an amenable number.

449475701940 is an abundant number, since it is smaller than the sum of its proper divisors (960546227376).

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

449475701940 is a wasteful number, since it uses less digits than its factorization.

449475701940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277454158 (or 277454147 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 449475701940 in words is "four hundred forty-nine billion, four hundred seventy-five million, seven hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 277454137 554908274 832362411 1109816548 1387270685 1664724822 2497087233 2774541370 3329449644 4161812055 4994174466 5549082740 7491261699 8323624110 9988348932 12485436165 14982523398 16647248220 22473785097 24970872330 29965046796 37456308495 44947570194 49941744660 74912616990 89895140388 112368925485 149825233980 224737850970 449475701940