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141141430041400 = 235210164710799381
BaseRepresentation
bin100000000101111000001100…
…110011001111101100111000
3200111201222200221020110211201
4200011320030303033230320
5121444430122042311100
61220103251114103544
741505063132410245
oct4005701463175470
9614658627213751
10141141430041400
1140a76820788578
12139b61a341abb4
13609a76c907769
1426bd3d2c545cc
15114b62c2a036a
hex805e0cccfb38

141141430041400 has 96 divisors (see below), whose sum is σ = 331915117992480. Its totient is φ = 55811195840000.

The previous prime is 141141430041371. The next prime is 141141430041433. The reversal of 141141430041400 is 4140034141141.

It is a happy number.

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, 7669710 + ... + 18469090.

It is an arithmetic number, because the mean of its divisors is an integer number (3457449145755).

Almost surely, 2141141430041400 is an apocalyptic number.

141141430041400 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 141141430041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957558996240).

141141430041400 is an abundant number, since it is smaller than the sum of its proper divisors (190773687951080).

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

141141430041400 is a wasteful number, since it uses less digits than its factorization.

141141430041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800145 (or 10800136 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 141141430041400 its reverse (4140034141141), we get a palindrome (145281464182541).

The spelling of 141141430041400 in words is "one hundred forty-one trillion, one hundred forty-one billion, four hundred thirty million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 647 808 1010 1294 2020 2525 2588 3235 4040 5050 5176 6470 10100 12940 16175 20200 25880 32350 64700 65347 129400 130694 261388 326735 522776 653470 1306940 1633675 2613880 3267350 6534700 10799381 13069400 21598762 43197524 53996905 86395048 107993810 215987620 269984525 431975240 539969050 1079938100 1090737481 2159876200 2181474962 4362949924 5453687405 6987199507 8725899848 10907374810 13974399014 21814749620 27268437025 27948798028 34935997535 43629499240 54536874050 55897596056 69871995070 109073748100 139743990140 174679987675 218147496200 279487980280 349359975350 698719950700 705707150207 1397439901400 1411414300414 2822828600828 3528535751035 5645657201656 7057071502070 14114143004140 17642678755175 28228286008280 35285357510350 70570715020700 141141430041400