Search a number
-
+
141660563440 = 24511172557017
BaseRepresentation
bin1000001111101110100…
…0001010011111110000
3111112122120100020112211
42003323220022133300
54310110101012230
6145024501301504
713143323631064
oct2037350123760
9445576306484
10141660563440
1155094771020
1223555a04894
1310487911306
146bdbda9aa4
153a418d542a
hex20fba0a7f0

141660563440 has 120 divisors (see below), whose sum is σ = 381682102032. Its totient is φ = 48482672640.

The previous prime is 141660563419. The next prime is 141660563461. The reversal of 141660563440 is 44365066141.

It is a happy number.

141660563440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141660563419) and next prime (141660563461).

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 = 141660563393 and 141660563402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24189 + ... + 532828.

Almost surely, 2141660563440 is an apocalyptic number.

141660563440 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 141660563440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190841051016).

141660563440 is an abundant number, since it is smaller than the sum of its proper divisors (240021538592).

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

141660563440 is a wasteful number, since it uses less digits than its factorization.

141660563440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557075 (or 557052 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 141660563440 in words is "one hundred forty-one billion, six hundred sixty million, five hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 289 340 374 440 578 680 748 880 935 1156 1360 1445 1496 1870 2312 2890 2992 3179 3740 4624 5780 6358 7480 11560 12716 14960 15895 23120 25432 31790 50864 63580 127160 254320 557017 1114034 2228068 2785085 4456136 5570170 6127187 8912272 9469289 11140340 12254374 18938578 22280680 24508748 30635935 37877156 44561360 47346445 49017496 61271870 75754312 94692890 98034992 104162179 122543740 151508624 160977913 189385780 208324358 245087480 321955826 378771560 416648716 490174960 520810895 643911652 757543120 804889565 833297432 1041621790 1287823304 1609779130 1666594864 1770757043 2083243580 2575646608 3219558260 3541514086 4166487160 6439116520 7083028172 8332974320 8853785215 12878233040 14166056344 17707570430 28332112688 35415140860 70830281720 141660563440