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141333653340 = 2232511509140237
BaseRepresentation
bin1000001110100000100…
…1000110011101011100
3111111210210012111012100
42003220021012131130
54303422403401330
6144532222405100
713132244142315
oct2035011063534
9444723174170
10141333653340
1154a37187690
1223484430790
1310434c80a99
146baa7cd60c
153a22d5d060
hex20e824675c

141333653340 has 144 divisors (see below), whose sum is σ = 468608081760. Its totient is φ = 34195146240.

The previous prime is 141333653269. The next prime is 141333653369. The reversal of 141333653340 is 43356333141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141333653295 and 141333653304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937702 + ... + 1077938.

It is an arithmetic number, because the mean of its divisors is an integer number (3254222790).

Almost surely, 2141333653340 is an apocalyptic number.

141333653340 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 141333653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234304040880).

141333653340 is an abundant number, since it is smaller than the sum of its proper divisors (327274428420).

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

141333653340 is a wasteful number, since it uses less digits than its factorization.

141333653340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140772 (or 140767 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 141333653340 its reverse (43356333141), we get a palindrome (184689986481).

The spelling of 141333653340 in words is "one hundred forty-one billion, three hundred thirty-three million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 509 660 990 1018 1527 1980 2036 2545 3054 4581 5090 5599 6108 7635 9162 10180 11198 15270 16797 18324 22396 22905 27995 30540 33594 45810 50391 55990 67188 83985 91620 100782 111980 140237 167970 201564 251955 280474 335940 420711 503910 560948 701185 841422 1007820 1262133 1402370 1542607 1682844 2103555 2524266 2804740 3085214 4207110 4627821 5048532 6170428 6310665 7713035 8414220 9255642 12621330 13883463 15426070 18511284 23139105 25242660 27766926 30852140 46278210 55533852 69417315 71380633 92556420 138834630 142761266 214141899 277669260 285522532 356903165 428283798 642425697 713806330 785186963 856567596 1070709495 1284851394 1427612660 1570373926 2141418990 2355560889 2569702788 3140747852 3212128485 3925934815 4282837980 4711121778 6424256970 7066682667 7851869630 9422243556 11777804445 12848513940 14133365334 15703739260 23555608890 28266730668 35333413335 47111217780 70666826670 141333653340