Search a number
-
+
1537231729040 = 245713012109959
BaseRepresentation
bin10110010111101010001…
…001101011000110010000
312102221212022200221100222
4112113222021223012100
5200141222310312130
63134110002532212
7216030015050360
oct26275211530620
95387768627328
101537231729040
11542a33265497
12209b13967068
13b1c63aca8c7
145458c3129a0
1529ec0d12ce5
hex165ea26b190

1537231729040 has 80 divisors (see below), whose sum is σ = 4087785864960. Its totient is φ = 526645516800.

The previous prime is 1537231729003. The next prime is 1537231729049. The reversal of 1537231729040 is 409271327351.

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

It is a junction number, because it is equal to n+sod(n) for n = 1537231728982 and 1537231729000.

It is not an unprimeable number, because it can be changed into a prime (1537231729049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326420 + ... + 1783539.

It is an arithmetic number, because the mean of its divisors is an integer number (51097323312).

Almost surely, 21537231729040 is an apocalyptic number.

1537231729040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1537231729040 is an abundant number, since it is smaller than the sum of its proper divisors (2550554135920).

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

1537231729040 is a wasteful number, since it uses less digits than its factorization.

1537231729040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111280 (or 2111274 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 1537231729040 in words is "one trillion, five hundred thirty-seven billion, two hundred thirty-one million, seven hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1301 2602 5204 6505 9107 10408 13010 18214 20816 26020 36428 45535 52040 72856 91070 104080 145712 182140 364280 728560 2109959 4219918 8439836 10549795 14769713 16879672 21099590 29539426 33759344 42199180 59078852 73848565 84398360 118157704 147697130 168796720 236315408 295394260 590788520 1181577040 2745056659 5490113318 10980226636 13725283295 19215396613 21960453272 27450566590 38430793226 43920906544 54901133180 76861586452 96076983065 109802266360 153723172904 192153966130 219604532720 307446345808 384307932260 768615864520 1537231729040