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146347643040 = 2535304890923
BaseRepresentation
bin1000100001001011111…
…1111101000010100000
3111222202012220120000120
42020102333331002200
54344204444034130
6151121533520240
713400426304144
oct2102277750240
9458665816016
10146347643040
115707a47a325
1224443643080
1310a5399a1b1
147124693224
153c18129910
hex2212ffd0a0

146347643040 has 48 divisors (see below), whose sum is σ = 460995077088. Its totient is φ = 39026038016.

The previous prime is 146347643017. The next prime is 146347643053. The reversal of 146347643040 is 40346743641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 146347642983 and 146347643001.

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 7 ways as a sum of consecutive naturals, for example, 152444982 + ... + 152445941.

It is an arithmetic number, because the mean of its divisors is an integer number (9604064106).

Almost surely, 2146347643040 is an apocalyptic number.

146347643040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146347643040 is an abundant number, since it is smaller than the sum of its proper divisors (314647434048).

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

146347643040 is a wasteful number, since it uses less digits than its factorization.

146347643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304890941 (or 304890933 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 146347643040 in words is "one hundred forty-six billion, three hundred forty-seven million, six hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 304890923 609781846 914672769 1219563692 1524454615 1829345538 2439127384 3048909230 3658691076 4573363845 4878254768 6097818460 7317382152 9146727690 9756509536 12195636920 14634764304 18293455380 24391273840 29269528608 36586910760 48782547680 73173821520 146347643040