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400134132204000 = 2535333344511017
BaseRepresentation
bin101101011111010110111110…
…0110100000000000111100000
31221110202110010122200002000020
41122332231330310000013200
5404421244200321012000
63535003025505353440
7150165510544563555
oct13276557464000740
91843673118602006
10400134132204000
11106549a29176857
1238a64813338880
13142366435519bc
1470b484983ca2c
15313d618b2dba0
hex16beb7cd001e0

400134132204000 has 96 divisors (see below), whose sum is σ = 1310839417139616. Its totient is φ = 106702435251200.

The previous prime is 400134132203999. The next prime is 400134132204013. The reversal of 400134132204000 is 402231431004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16672243509 + ... + 16672267508.

It is an arithmetic number, because the mean of its divisors is an integer number (13654577261871).

Almost surely, 2400134132204000 is an apocalyptic number.

400134132204000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400134132204000 is an abundant number, since it is smaller than the sum of its proper divisors (910705284935616).

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

400134132204000 is a wasteful number, since it uses less digits than its factorization.

400134132204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33344511045 (or 33344511027 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400134132204000 its reverse (402231431004), we get a palindrome (400536363635004).

The spelling of 400134132204000 in words is "four hundred trillion, one hundred thirty-four billion, one hundred thirty-two million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 33344511017 66689022034 100033533051 133378044068 166722555085 200067066102 266756088136 333445110170 400134132204 500167665255 533512176272 666890220340 800268264408 833612775425 1000335330510 1067024352544 1333780440680 1600536528816 1667225550850 2000670661020 2500838326275 2667560881360 3201073057632 3334451101700 4001341322040 4168063877125 5001676652550 5335121762720 6668902203400 8002682644080 8336127754250 10003353305100 12504191631375 13337804406800 16005365288160 16672255508500 20006706610200 25008383262750 26675608813600 33344511017000 40013413220400 50016766525500 66689022034000 80026826440800 100033533051000 133378044068000 200067066102000 400134132204000