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30232041234400 = 25521491911327877
BaseRepresentation
bin1101101111110111100100…
…00101000001111111100000
310222001011011221012210112201
412313323302011001333200
512430310210024000100
6144144224044102544
76240123110342605
oct667736205017740
9128034157183481
1030232041234400
1196a6378146965
123483209534a54
1313b3b3b9a7205
1476734aa266ac
1537661118236a
hex1b7ef2141fe0

30232041234400 has 144 divisors (see below), whose sum is σ = 74688357139200. Its totient is φ = 11948759398400.

The previous prime is 30232041234397. The next prime is 30232041234481. The reversal of 30232041234400 is 443214023203.

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, 22103262 + ... + 23431138.

It is an arithmetic number, because the mean of its divisors is an integer number (518669146800).

Almost surely, 230232041234400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30232041234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37344178569600).

30232041234400 is an abundant number, since it is smaller than the sum of its proper divisors (44456315904800).

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

30232041234400 is a wasteful number, since it uses less digits than its factorization.

30232041234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328237 (or 1328224 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 30232041234400 its reverse (443214023203), we get a palindrome (30675255257603).

The spelling of 30232041234400 in words is "thirty trillion, two hundred thirty-two billion, forty-one million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 149 160 191 200 298 382 400 596 745 764 800 955 1192 1490 1528 1910 2384 2980 3056 3725 3820 4768 4775 5960 6112 7450 7640 9550 11920 14900 15280 19100 23840 28459 29800 30560 38200 56918 59600 76400 113836 119200 142295 152800 227672 284590 455344 569180 711475 910688 1138360 1327877 1422950 2276720 2655754 2845900 4553440 5311508 5691800 6639385 10623016 11383600 13278770 21246032 22767200 26557540 33196925 42492064 53115080 66393850 106230160 132787700 197853673 212460320 253624507 265575400 395707346 507249014 531150800 791414692 989268365 1014498028 1062301600 1268122535 1582829384 1978536730 2028996056 2536245070 3165658768 3957073460 4057992112 4946341825 5072490140 6331317536 6340612675 7914146920 8115984224 9892683650 10144980280 12681225350 15828293840 19785367300 20289960560 25362450700 31656587680 37790051543 39570734600 40579921120 50724901400 75580103086 79141469200 101449802800 151160206172 158282938400 188950257715 202899605600 302320412344 377900515430 604640824688 755801030860 944751288575 1209281649376 1511602061720 1889502577150 3023204123440 3779005154300 6046408246880 7558010308600 15116020617200 30232041234400