Search a number
-
+
145962022720 = 265644970729
BaseRepresentation
bin1000011111110000000…
…0111011011101000000
3111221202100022000101111
42013330000323131000
54342412234211340
6151015400413104
713355034502513
oct2077400733500
9457670260344
10145962022720
11569a1836048
1224356477194
13109c1b21aa7
1470c9392d7a
153be4356aea
hex21fc03b740

145962022720 has 56 divisors (see below), whose sum is σ = 347630877000. Its totient is φ = 58374930432.

The previous prime is 145962022711. The next prime is 145962022799. The reversal of 145962022720 is 27220269541.

It can be written as a sum of positive squares in 4 ways, for example, as 59793942784 + 86168079936 = 244528^2 + 293544^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 2028316 + ... + 2099044.

Almost surely, 2145962022720 is an apocalyptic number.

145962022720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145962022720 is an abundant number, since it is smaller than the sum of its proper divisors (201668854280).

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

145962022720 is an equidigital number, since it uses as much as digits as its factorization.

145962022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77195 (or 77185 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 145962022720 in words is "one hundred forty-five billion, nine hundred sixty-two million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6449 12898 25796 32245 51592 64490 70729 103184 128980 141458 206368 257960 282916 353645 412736 515920 565832 707290 1031840 1131664 1414580 2063680 2263328 2829160 4526656 5658320 11316640 22633280 456131321 912262642 1824525284 2280656605 3649050568 4561313210 7298101136 9122626420 14596202272 18245252840 29192404544 36490505680 72981011360 145962022720