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1402341482025 = 325211271772
BaseRepresentation
bin10100011010000010000…
…100001101111000101001
311222001200120220101222100
4110122002010031320221
5140433443404411100
62552120552444013
7203213220631161
oct24320204157051
94861616811870
101402341482025
114a0803231400
121a79493a9609
13a2317a442b3
144bc335955a1
15267289c7400
hex1468210de29

1402341482025 has 81 divisors (see below), whose sum is σ = 2761233258693. Its totient is φ = 679828406400.

The previous prime is 1402341481991. The next prime is 1402341482033. The reversal of 1402341482025 is 5202841432041.

The square root of 1402341482025 is 1184205.

It is a perfect power (a square), and thus also a powerful number.

1402341482025 is a `hidden beast` number, since 1 + 402 + 3 + 4 + 1 + 48 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195920431641 + 1206421050384 = 442629^2 + 1098372^2 .

It is not a de Polignac number, because 1402341482025 - 213 = 1402341473833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 195390237 + ... + 195397413.

Almost surely, 21402341482025 is an apocalyptic number.

1402341482025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1402341482025 is the 1184205-th square number.

1402341482025 is the 592103-rd centered octagonal number.

It is an amenable number.

1402341482025 is a deficient number, since it is larger than the sum of its proper divisors (1358891776668).

1402341482025 is an frugal number, since it uses more digits than its factorization.

1402341482025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14392 (or 7196 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 1402341482025 by its sum of digits (36), we get a square (50484293352900 = 71052302).

The spelling of 1402341482025 in words is "one trillion, four hundred two billion, three hundred forty-one million, four hundred eighty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 7177 9075 21531 27225 35885 64593 78947 107655 179425 236841 322965 394735 538275 710523 868417 1184205 1614825 1973675 2605251 3552615 4342085 5921025 7815753 13026255 17763075 21710425 39078765 51509329 65131275 154527987 195393825 257546645 463583961 566602619 772639935 1287733225 1699807857 2317919805 2833013095 3863199675 5099423571 6232628809 8499039285 11589599025 14165065475 18697886427 25497117855 31163144045 42495196425 56093659281 93489432135 127485589275 155815720225 280468296405 467447160675 1402341482025