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145373246700 = 223521183530753
BaseRepresentation
bin1000011101100011101…
…0111011010011101100
3111220020022102002112020
42013120322323103230
54340211022343300
6150441125110140
713334325131403
oct2073072732354
9456208362466
10145373246700
115671a4539a0
1224211258350
1310929b55c06
1470710cc63a
153bac8048a0
hex21d8ebb4ec

145373246700 has 144 divisors (see below), whose sum is σ = 464380027776. Its totient is φ = 34817331200.

The previous prime is 145373246687. The next prime is 145373246743. The reversal of 145373246700 is 7642373541.

It is a super-2 number, since 2×1453732467002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8524 + ... + 539276.

It is an arithmetic number, because the mean of its divisors is an integer number (3224861304).

Almost surely, 2145373246700 is an apocalyptic number.

145373246700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145373246700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232190013888).

145373246700 is an abundant number, since it is smaller than the sum of its proper divisors (319006781076).

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

145373246700 is a wasteful number, since it uses less digits than its factorization.

145373246700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530864 (or 530857 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 145373246700 in words is "one hundred forty-five billion, three hundred seventy-three million, two hundred forty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 83 100 110 132 150 165 166 220 249 275 300 330 332 415 498 550 660 825 830 913 996 1100 1245 1650 1660 1826 2075 2490 2739 3300 3652 4150 4565 4980 5478 6225 8300 9130 10956 12450 13695 18260 22825 24900 27390 45650 54780 68475 91300 136950 273900 530753 1061506 1592259 2123012 2653765 3184518 5307530 5838283 6369036 7961295 10615060 11676566 13268825 15922590 17514849 23353132 26537650 29191415 31845180 35029698 39806475 44052499 53075300 58382830 70059396 79612950 87574245 88104998 116765660 132157497 145957075 159225900 175148490 176209996 220262495 264314994 291914150 350296980 437871225 440524990 484577489 528629988 583828300 660787485 875742450 881049980 969154978 1101312475 1321574970 1453732467 1751484900 1938309956 2202624950 2422887445 2643149940 2907464934 3303937425 4405249900 4845774890 5814929868 6607874850 7268662335 9691549780 12114437225 13215749700 14537324670 24228874450 29074649340 36343311675 48457748900 72686623350 145373246700