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141104254240 = 2551279377411
BaseRepresentation
bin1000001101101001111…
…0000000110100100000
3111111012210112210210101
42003122132000310200
54302440142113430
6144453345512144
713123460241265
oct2033236006440
9444183483711
10141104254240
1154929744754
122341b642654
13103c95a2181
146b8815726c
153a0cb47dca
hex20da780d20

141104254240 has 96 divisors (see below), whose sum is σ = 336387631104. Its totient is φ = 55929968640.

The previous prime is 141104254223. The next prime is 141104254283. The reversal of 141104254240 is 42452401141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141104254199 and 141104254208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19036135 + ... + 19043545.

It is an arithmetic number, because the mean of its divisors is an integer number (3504037824).

Almost surely, 2141104254240 is an apocalyptic number.

141104254240 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 141104254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168193815552).

141104254240 is an abundant number, since it is smaller than the sum of its proper divisors (195283376864).

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

141104254240 is a wasteful number, since it uses less digits than its factorization.

141104254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 141104254240 its reverse (42452401141), we get a palindrome (183556655381).

The spelling of 141104254240 in words is "one hundred forty-one billion, one hundred four million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 937 1016 1270 1874 2032 2540 3748 4064 4685 5080 7411 7496 9370 10160 14822 14992 18740 20320 29644 29984 37055 37480 59288 74110 74960 118576 118999 148220 149920 237152 237998 296440 475996 592880 594995 941197 951992 1185760 1189990 1882394 1903984 2379980 3764788 3807968 4705985 4759960 6944107 7529576 9411970 9519920 13888214 15059152 18823940 19039840 27776428 30118304 34720535 37647880 55552856 69441070 75295760 111105712 138882140 150591520 222211424 277764280 555528560 881901589 1111057120 1763803178 3527606356 4409507945 7055212712 8819015890 14110425424 17638031780 28220850848 35276063560 70552127120 141104254240