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141301501140400 = 24521276314408123
BaseRepresentation
bin100000001000001101010001…
…110010000001110110110000
3200112022021212120020211022221
4200020031101302001312300
5122010040433242443100
61220305002525210424
741522460631325206
oct4010152162016660
9615267776224287
10141301501140400
11410286a2742437
1213a21216a00a14
1360ac89c8091a3
1426c7059d95076
15115089a0d401a
hex808351c81db0

141301501140400 has 120 divisors (see below), whose sum is σ = 342692214738944. Its totient is φ = 55986675897600.

The previous prime is 141301501140353. The next prime is 141301501140421. The reversal of 141301501140400 is 4041105103141.

It is a super-2 number, since 2×1413015011404002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 29850739 + ... + 34258861.

Almost surely, 2141301501140400 is an apocalyptic number.

141301501140400 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 141301501140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171346107369472).

141301501140400 is an abundant number, since it is smaller than the sum of its proper divisors (201390713598544).

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

141301501140400 is a wasteful number, since it uses less digits than its factorization.

141301501140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408899 (or 4408888 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 141301501140400 its reverse (4041105103141), we get a palindrome (145342606243541).

The spelling of 141301501140400 in words is "one hundred forty-one trillion, three hundred one billion, five hundred one million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 631 635 1016 1262 1270 2032 2524 2540 3155 3175 5048 5080 6310 6350 10096 10160 12620 12700 15775 25240 25400 31550 50480 50800 63100 80137 126200 160274 252400 320548 400685 641096 801370 1282192 1602740 2003425 3205480 4006850 4408123 6410960 8013700 8816246 16027400 17632492 22040615 32054800 35264984 44081230 70529968 88162460 110203075 176324920 220406150 352649840 440812300 559831621 881624600 1119663242 1763249200 2239326484 2781525613 2799158105 4478652968 5563051226 5598316210 8957305936 11126102452 11196632420 13907628065 13995790525 22252204904 22393264840 27815256130 27991581050 44504409808 44786529680 55630512260 55983162100 69538140325 111261024520 111966324200 139076280650 222522049040 223932648400 278152561300 353253752851 556305122600 706507505702 1112610245200 1413015011404 1766268764255 2826030022808 3532537528510 5652060045616 7065075057020 8831343821275 14130150114040 17662687642550 28260300228080 35325375285100 70650750570200 141301501140400