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141403342320 = 24325599327869
BaseRepresentation
bin1000001110110001001…
…0111100010111110000
3111111222122100001111200
42003230102330113300
54304043223423240
6144543152211200
713134051402222
oct2035422742760
9444878301450
10141403342320
1154a72555a89
12234a3839b00
1310446540b76
146bb5b70412
153a29026930
hex20ec4bc5f0

141403342320 has 120 divisors (see below), whose sum is σ = 475673796000. Its totient is φ = 37644492288.

The previous prime is 141403342313. The next prime is 141403342397. The reversal of 141403342320 is 23243304141.

141403342320 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 334 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267346 + ... + 595214.

It is an arithmetic number, because the mean of its divisors is an integer number (3963948300).

Almost surely, 2141403342320 is an apocalyptic number.

141403342320 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 141403342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237836898000).

141403342320 is an abundant number, since it is smaller than the sum of its proper divisors (334270453680).

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

141403342320 is a wasteful number, since it uses less digits than its factorization.

141403342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328487 (or 328478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 141403342320 its reverse (23243304141), we get a palindrome (164646646461).

The spelling of 141403342320 in words is "one hundred forty-one billion, four hundred three million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 599 720 1198 1797 2396 2995 3594 4792 5391 5990 7188 8985 9584 10782 11980 14376 17970 21564 23960 26955 28752 35940 43128 47920 53910 71880 86256 107820 143760 215640 327869 431280 655738 983607 1311476 1639345 1967214 2622952 2950821 3278690 3934428 4918035 5245904 5901642 6557380 7868856 9836070 11803284 13114760 14754105 15737712 19672140 23606568 26229520 29508210 39344280 47213136 59016420 78688560 118032840 196393531 236065680 392787062 589180593 785574124 981967655 1178361186 1571148248 1767541779 1963935310 2356722372 2945902965 3142296496 3535083558 3927870620 4713444744 5891805930 7070167116 7855741240 8837708895 9426889488 11783611860 14140334232 15711482480 17675417790 23567223720 28280668464 35350835580 47134447440 70701671160 141403342320