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141405141440 = 2652915237623
BaseRepresentation
bin1000001110110001100…
…1110011100111000000
3111111222202201110102202
42003230121303213000
54304044204011230
6144543254532332
713134102604403
oct2035431634700
9444882643382
10141405141440
1154a73574762
12234a43670a8
1310446a20a34
146bb60bbd3a
153a2927ea45
hex20ec6739c0

141405141440 has 56 divisors (see below), whose sum is σ = 348332084640. Its totient is φ = 54611637248.

The previous prime is 141405141439. The next prime is 141405141503. The reversal of 141405141440 is 44141504141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 7609532 + ... + 7628091.

Almost surely, 2141405141440 is an apocalyptic number.

141405141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141405141440 is an abundant number, since it is smaller than the sum of its proper divisors (206926943200).

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

141405141440 is a wasteful number, since it uses less digits than its factorization.

141405141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15237669 (or 15237659 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 141405141440 its reverse (44141504141), we get a palindrome (185546645581).

The spelling of 141405141440 in words is "one hundred forty-one billion, four hundred five million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 15237623 30475246 60950492 76188115 121900984 152376230 243801968 304752460 441891067 487603936 609504920 883782134 975207872 1219009840 1767564268 2209455335 2438019680 3535128536 4418910670 4876039360 7070257072 8837821340 14140514144 17675642680 28281028288 35351285360 70702570720 141405141440