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141985438740 = 223255923995573
BaseRepresentation
bin1000010000111011111…
…1011101110000010100
3111120111012122121200100
42010032333131300110
54311241233014430
6145121024414100
713154350213305
oct2041677356024
9446435577610
10141985438740
1155241095702
1223626777330
131050a00b612
146c2d1b67ac
153a601a9960
hex210efddc14

141985438740 has 144 divisors (see below), whose sum is σ = 438250176000. Its totient is φ = 37198850304.

The previous prime is 141985438717. The next prime is 141985438747. The reversal of 141985438740 is 47834589141.

141985438740 is a `hidden beast` number, since 1 + 4 + 1 + 98 + 543 + 8 + 7 + 4 + 0 = 666.

141985438740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141985438747) 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 47 ways as a sum of consecutive naturals, for example, 25474594 + ... + 25480166.

It is an arithmetic number, because the mean of its divisors is an integer number (3043404000).

Almost surely, 2141985438740 is an apocalyptic number.

141985438740 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 141985438740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219125088000).

141985438740 is an abundant number, since it is smaller than the sum of its proper divisors (296264737260).

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

141985438740 is a wasteful number, since it uses less digits than its factorization.

141985438740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 141985438740 in words is "one hundred forty-one billion, nine hundred eighty-five million, four hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2399 2655 3540 4798 5310 5573 7197 9596 10620 11146 11995 14394 16719 21591 22292 23990 27865 28788 33438 35985 43182 47980 50157 55730 66876 71970 83595 86364 100314 107955 111460 141541 143940 167190 200628 215910 250785 283082 328807 334380 424623 431820 501570 566164 657614 707705 849246 986421 1003140 1273869 1315228 1415410 1644035 1698492 1972842 2123115 2547738 2830820 2959263 3288070 3945684 4246230 4932105 5095476 5918526 6369345 6576140 8492460 9864210 11837052 12738690 13369627 14796315 19728420 25477380 26739254 29592630 40108881 53478508 59185260 66848135 80217762 120326643 133696270 160435524 200544405 240653286 267392540 401088810 481306572 601633215 788807993 802177620 1203266430 1577615986 2366423979 2406532860 3155231972 3944039965 4732847958 7099271937 7888079930 9465695916 11832119895 14198543874 15776159860 23664239790 28397087748 35496359685 47328479580 70992719370 141985438740