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23002540000400 = 24522313119086077
BaseRepresentation
bin1010011101011101100100…
…01110011100010010010000
310000110000120120012011121202
411032232302032130102100
511003333200220003100
6120531115422410332
74562610245643662
oct516566216342220
9100400516164552
1023002540000400
1173693601786a4
1226b60681309a8
13cab190109b4c
14597486618532
1529d5375a77d5
hex14ebb239c490

23002540000400 has 120 divisors (see below), whose sum is σ = 58106571994944. Its totient is φ = 8733788377600.

The previous prime is 23002540000393. The next prime is 23002540000441. The reversal of 23002540000400 is 400004520032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8337839 + ... + 10748238.

Almost surely, 223002540000400 is an apocalyptic number.

23002540000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23002540000400 is an abundant number, since it is smaller than the sum of its proper divisors (35104031994544).

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

23002540000400 is a wasteful number, since it uses less digits than its factorization.

23002540000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19086249 (or 19086238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 23002540000400 its reverse (400004520032), we get a palindrome (23402544520432).

The spelling of 23002540000400 in words is "twenty-three trillion, two billion, five hundred forty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 131 184 200 230 262 368 400 460 524 575 655 920 1048 1150 1310 1840 2096 2300 2620 3013 3275 4600 5240 6026 6550 9200 10480 12052 13100 15065 24104 26200 30130 48208 52400 60260 75325 120520 150650 241040 301300 602600 1205200 19086077 38172154 76344308 95430385 152688616 190860770 305377232 381721540 438979771 477151925 763443080 877959542 954303850 1526886160 1755919084 1908607700 2194898855 2500276087 3511838168 3817215400 4389797710 5000552174 7023676336 7634430800 8779595420 10001104348 10974494275 12501380435 17559190840 20002208696 21948988550 25002760870 35118381680 40004417392 43897977100 50005521740 57506350001 62506902175 87795954200 100011043480 115012700002 125013804350 175591908400 200022086960 230025400004 250027608700 287531750005 460050800008 500055217400 575063500010 920101600016 1000110434800 1150127000020 1437658750025 2300254000040 2875317500050 4600508000080 5750635000100 11501270000200 23002540000400