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141132300400410 = 235112942533467521
BaseRepresentation
bin100000000101101111101100…
…101000011011011100011010
3200111201010010200012122211020
4200011233230220123130122
5121444302422400303120
61220055141142143310
741504320653632154
oct4005575450333432
9614633120178736
10141132300400410
1140a729662a0130
12139b4475a21b36
136099946336227
1426bcba8533ad4
15114b295a16640
hex805beca1b71a

141132300400410 has 128 divisors (see below), whose sum is σ = 382341736200960. Its totient is φ = 33026324889600.

The previous prime is 141132300400309. The next prime is 141132300400411. The reversal of 141132300400410 is 14004003231141.

It is a super-3 number, since 3×1411323004004103 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (141132300400411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38967450 + ... + 42434970.

It is an arithmetic number, because the mean of its divisors is an integer number (2987044814070).

Almost surely, 2141132300400410 is an apocalyptic number.

141132300400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141132300400410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170868100480).

141132300400410 is an abundant number, since it is smaller than the sum of its proper divisors (241209435800550).

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

141132300400410 is a wasteful number, since it uses less digits than its factorization.

141132300400410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471824.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 141132300400410 its reverse (14004003231141), we get a palindrome (155136303631551).

The spelling of 141132300400410 in words is "one hundred forty-one trillion, one hundred thirty-two billion, three hundred million, four hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4253 4785 8506 9570 12759 21265 25518 42530 46783 63795 93566 123337 127590 140349 233915 246674 280698 370011 467830 616685 701745 740022 1233370 1356707 1403490 1850055 2713414 3467521 3700110 4070121 6783535 6935042 8140242 10402563 13567070 17337605 20350605 20805126 34675210 38142731 40701210 52012815 76285462 100558109 104025630 114428193 190713655 201116218 228856386 301674327 381427310 502790545 572140965 603348654 1005581090 1106139199 1144281930 1508371635 2212278398 3016743270 3318417597 5530695995 6636835194 11061391990 14747366813 16592087985 29494733626 33184175970 44242100439 73736834065 88484200878 147473668130 162221034943 221210502195 324442069886 427673637577 442421004390 486663104829 811105174715 855347275154 973326209658 1283020912731 1622210349430 2138368187885 2433315524145 2566041825462 4276736375770 4704410013347 4866631048290 6415104563655 9408820026694 12830209127310 14113230040041 23522050066735 28226460080082 47044100133470 70566150200205 141132300400410