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1454401561540 = 225831197173189
BaseRepresentation
bin10101001010100001000…
…101101010001111000100
312011001001202010110102111
4111022201011222033010
5142312103244432130
63032050504550404
7210035266203514
oct25124105521704
95131052113374
101454401561540
11510898846704
121b5a58182404
13a71c3535585
145057173d844
1527c7414b02a
hex152a116a3c4

1454401561540 has 48 divisors (see below), whose sum is σ = 3091341839040. Its totient is φ = 574695596160.

The previous prime is 1454401561511. The next prime is 1454401561553. The reversal of 1454401561540 is 451651044541.

It is a junction number, because it is equal to n+sod(n) for n = 1454401561493 and 1454401561502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19835266 + ... + 19908454.

It is an arithmetic number, because the mean of its divisors is an integer number (64402954980).

Almost surely, 21454401561540 is an apocalyptic number.

1454401561540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1454401561540 is an abundant number, since it is smaller than the sum of its proper divisors (1636940277500).

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

1454401561540 is a wasteful number, since it uses less digits than its factorization.

1454401561540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85252 (or 85250 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 1454401561540 in words is "one trillion, four hundred fifty-four billion, four hundred one million, five hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 11971 23942 47884 59855 73189 119710 146378 239420 292756 365945 731890 993593 1463780 1987186 3974372 4967965 6074687 9935930 12149374 19871860 24298748 30373435 60746870 121493740 876145519 1752291038 3504582076 4380727595 8761455190 17522910380 72720078077 145440156154 290880312308 363600390385 727200780770 1454401561540