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136423201400 = 23521748167
BaseRepresentation
bin111111100001101110…
…1001101101001111000
3111001010120022200110222
41333003131031221320
54213343314421100
6142401050355212
712566460036023
oct1770335155170
9431116280428
10136423201400
1152947382442
1222533a2bb08
13cb31846515
14686259c1ba
153836be4485
hex1fc374da78

136423201400 has 120 divisors (see below), whose sum is σ = 337048966920. Its totient is φ = 51353034240.

The previous prime is 136423201357. The next prime is 136423201433. The reversal of 136423201400 is 4102324631.

It is a super-2 number, since 2×1364232014002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136423201400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16700117 + ... + 16708283.

It is an arithmetic number, because the mean of its divisors is an integer number (2808741391).

Almost surely, 2136423201400 is an apocalyptic number.

136423201400 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 136423201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168524483460).

136423201400 is an abundant number, since it is smaller than the sum of its proper divisors (200625765520).

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

136423201400 is an frugal number, since it uses more digits than its factorization.

136423201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 136423201400 in words is "one hundred thirty-six billion, four hundred twenty-three million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1156 1445 1700 2312 2890 3400 4913 5780 7225 8167 9826 11560 14450 16334 19652 24565 28900 32668 39304 40835 49130 57800 65336 81670 83521 98260 122825 138839 163340 167042 196520 204175 245650 277678 326680 334084 408350 417605 491300 555356 668168 694195 816700 835210 982600 1110712 1388390 1633400 1670420 2088025 2360263 2776780 3340840 3470975 4176050 4720526 5553560 6941950 8352100 9441052 11801315 13883900 16704200 18882104 23602630 27767800 40124471 47205260 59006575 80248942 94410520 118013150 160497884 200622355 236026300 320995768 401244710 472052600 682116007 802489420 1003111775 1364232014 1604978840 2006223550 2728464028 3410580035 4012447100 5456928056 6821160070 8024894200 13642320140 17052900175 27284640280 34105800350 68211600700 136423201400