Search a number
-
+
1434772772820 = 2232526929631821
BaseRepresentation
bin10100111000001111000…
…111110001011111010100
312002011101210002200022200
4110320033013301133110
5142001403312212240
63015043035524500
7205442002226322
oct24701707613724
95064353080280
101434772772820
1150353590a172
121b209a5b9730
13a53b5a2c6aa
144d62c886d12
15274c5ca8930
hex14e0f1f17d4

1434772772820 has 72 divisors (see below), whose sum is σ = 4368323199240. Its totient is φ = 381183732480.

The previous prime is 1434772772813. The next prime is 1434772772821. The reversal of 1434772772820 is 282772774341.

1434772772820 is a `hidden beast` number, since 1 + 4 + 3 + 477 + 27 + 72 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 340181136 + 1434432591684 = 18444^2 + 1197678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434772772821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14767491 + ... + 14864330.

It is an arithmetic number, because the mean of its divisors is an integer number (60671155545).

Almost surely, 21434772772820 is an apocalyptic number.

1434772772820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434772772820 is an abundant number, since it is smaller than the sum of its proper divisors (2933550426420).

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

1434772772820 is a wasteful number, since it uses less digits than its factorization.

1434772772820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29632105 (or 29632100 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 1434772772820 in words is "one trillion, four hundred thirty-four billion, seven hundred seventy-two million, seven hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 2421 2690 3228 4035 4842 5380 8070 9684 12105 16140 24210 48420 29631821 59263642 88895463 118527284 148159105 177790926 266686389 296318210 355581852 444477315 533372778 592636420 888954630 1066745556 1333431945 1777909260 2666863890 5333727780 7970959849 15941919698 23912879547 31883839396 39854799245 47825759094 71738638641 79709598490 95651518188 119564397735 143477277282 159419196980 239128795470 286954554564 358693193205 478257590940 717386386410 1434772772820