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141354505240240 = 24537283716832887
BaseRepresentation
bin100000001000111110101001…
…000100100111111010110000
3200112111100200111211002012211
4200020332221010213322300
5122011423011320141430
61220345210243101504
741526345261620425
oct4010765104477260
9615440614732184
10141354505240240
1141049122116126
1213a2b549971894
1360b4898a67586
1426c9847677d4c
151151e4d57c72a
hex808fa9127eb0

141354505240240 has 80 divisors (see below), whose sum is σ = 337650631065792. Its totient is φ = 54994250529792.

The previous prime is 141354505240189. The next prime is 141354505240387. The reversal of 141354505240240 is 42042505453141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 141354505240193 and 141354505240202.

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, 18924 + ... + 16813963.

Almost surely, 2141354505240240 is an apocalyptic number.

141354505240240 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 141354505240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168825315532896).

141354505240240 is an abundant number, since it is smaller than the sum of its proper divisors (196296125825552).

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

141354505240240 is a wasteful number, since it uses less digits than its factorization.

141354505240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16835774 (or 16835768 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 141354505240240 in words is "one hundred forty-one trillion, three hundred fifty-four billion, five hundred five million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2837 2960 5674 11348 14185 22696 28370 45392 56740 104969 113480 209938 226960 419876 524845 839752 1049690 1679504 2099380 4198760 8397520 16832887 33665774 67331548 84164435 134663096 168328870 269326192 336657740 622816819 673315480 1245633638 1346630960 2491267276 3114084095 4982534552 6228168190 9965069104 12456336380 24912672760 47754900419 49825345520 95509800838 191019601676 238774502095 382039203352 477549004190 764078406704 955098008380 1766931315503 1910196016760 3533862631006 3820392033520 7067725262012 8834656577515 14135450524024 17669313155030 28270901048048 35338626310060 70677252620120 141354505240240