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141334035040 = 25511547146807
BaseRepresentation
bin1000001110100000101…
…0100011101001100000
3111111210210220212210101
42003220022203221200
54303423003110130
6144532234512144
713132250322202
oct2035012435140
9444723825711
10141334035040
1154a37418440
1223484595654
1310435085743
146baa88c772
153a22dd61ca
hex20e82a3a60

141334035040 has 96 divisors (see below), whose sum is σ = 364924756224. Its totient is φ = 51299888640.

The previous prime is 141334035023. The next prime is 141334035043. The reversal of 141334035040 is 40530433141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141334035043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889317 + ... + 1036123.

It is an arithmetic number, because the mean of its divisors is an integer number (3801299544).

Almost surely, 2141334035040 is an apocalyptic number.

141334035040 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 141334035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182462378112).

141334035040 is an abundant number, since it is smaller than the sum of its proper divisors (223590721184).

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

141334035040 is a wasteful number, since it uses less digits than its factorization.

141334035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147380 (or 147372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 141334035040 its reverse (40530433141), we get a palindrome (181864468181).

The spelling of 141334035040 in words is "one hundred forty-one billion, three hundred thirty-four million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 547 880 1094 1760 2188 2735 4376 5470 6017 8752 10940 12034 17504 21880 24068 30085 43760 48136 60170 87520 96272 120340 146807 192544 240680 293614 481360 587228 734035 962720 1174456 1468070 1614877 2348912 2936140 3229754 4697824 5872280 6459508 8074385 11744560 12919016 16148770 23489120 25838032 32297540 51676064 64595080 80303429 129190160 160606858 258380320 321213716 401517145 642427432 803034290 883337719 1284854864 1606068580 1766675438 2569709728 3212137160 3533350876 4416688595 6424274320 7066701752 8833377190 12848548640 14133403504 17666754380 28266807008 35333508760 70667017520 141334035040