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400002306444 = 2232132387742373
BaseRepresentation
bin1011101001000011111…
…11101101000110001100
31102020110211220112211200
411310201333231012030
523023201042301234
6503431501345500
740620300335226
oct5644177550614
91366424815750
10400002306444
11144704968254
1265633b68290
132b948c680c0
1415508603416
15a611c01d99
hex5d21fed18c

400002306444 has 144 divisors (see below), whose sum is σ = 1137560878272. Its totient is φ = 117589418496.

The previous prime is 400002306443. The next prime is 400002306461. The reversal of 400002306444 is 444603200004.

It is not an unprimeable number, because it can be changed into a prime (400002306443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9418842 + ... + 9461214.

Almost surely, 2400002306444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400002306444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568780439136).

400002306444 is an abundant number, since it is smaller than the sum of its proper divisors (737558571828).

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

400002306444 is a wasteful number, since it uses less digits than its factorization.

400002306444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43296 (or 43291 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 400002306444 its reverse (444603200004), we get a palindrome (844605506448).

The spelling of 400002306444 in words is "four hundred billion, two million, three hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 877 897 1196 1754 1794 2631 2691 3508 3588 5262 5382 7893 10524 10764 11401 15786 20171 22802 31572 34203 40342 42373 45604 60513 68406 80684 84746 102609 121026 127119 136812 169492 181539 205218 242052 254238 262223 363078 381357 410436 508476 524446 550849 726156 762714 786669 974579 1048892 1101698 1525428 1573338 1652547 1949158 2203396 2360007 2923737 3146676 3305094 3898316 4720014 4957641 5847474 6610188 8771211 9440028 9915282 11694948 12669527 17542422 19830564 25339054 35084844 37161121 38008581 50678108 74322242 76017162 111483363 114025743 148644484 152034324 222966726 228051486 334450089 445933452 456102972 483094573 668900178 854705783 966189146 1337800356 1449283719 1709411566 1932378292 2564117349 2898567438 3418823132 4347851157 5128234698 5797134876 7692352047 8695702314 10256469396 11111175179 15384704094 17391404628 22222350358 30769408188 33333525537 44444700716 66667051074 100000576611 133334102148 200001153222 400002306444