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141333101234240 = 26522910511835083
BaseRepresentation
bin100000001000101010101101…
…010010110100100001000000
3200112102022102211101220210212
4200020222231102310201000
5122011100142403443430
61220331310321013252
741524660000564526
oct4010525522644100
9615368384356725
10141333101234240
1141040039111673
1213a27375784228
1360b286753a976
1426c87b6b1a316
1511515e9429b95
hex808aad4b4840

141333101234240 has 112 divisors (see below), whose sum is σ = 338340896575680. Its totient is φ = 56232784742400.

The previous prime is 141333101234209. The next prime is 141333101234257. The reversal of 141333101234240 is 42432101333141.

It is a super-3 number, since 3×1413331012342403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 141333101234197 and 141333101234206.

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, 76099739 + ... + 77934821.

Almost surely, 2141333101234240 is an apocalyptic number.

141333101234240 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 141333101234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169170448287840).

141333101234240 is an abundant number, since it is smaller than the sum of its proper divisors (197007795341440).

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

141333101234240 is a wasteful number, since it uses less digits than its factorization.

141333101234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836380 (or 1836370 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 141333101234240 its reverse (42432101333141), we get a palindrome (183765202567381).

The spelling of 141333101234240 in words is "one hundred forty-one trillion, three hundred thirty-three billion, one hundred one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 916 1051 1145 1832 2102 2290 3664 4204 4580 5255 7328 8408 9160 10510 14656 16816 18320 21020 33632 36640 42040 67264 73280 84080 168160 240679 336320 481358 962716 1203395 1835083 1925432 2406790 3670166 3850864 4813580 7340332 7701728 9175415 9627160 14680664 15403456 18350830 19254320 29361328 36701660 38508640 58722656 73403320 77017280 117445312 146806640 293613280 420234007 587226560 840468014 1680936028 1928672233 2101170035 3361872056 3857344466 4202340070 6723744112 7714688932 8404680140 9643361165 13447488224 15429377864 16809360280 19286722330 26894976448 30858755728 33618720560 38573444660 61717511456 67237441120 77146889320 123435022912 134474882240 154293778640 308587557280 441665941357 617175114560 883331882714 1766663765428 2208329706785 3533327530856 4416659413570 7066655061712 8833318827140 14133310123424 17666637654280 28266620246848 35333275308560 70666550617120 141333101234240