Search a number
-
+
201215401054400 = 2652229549168671
BaseRepresentation
bin101101110000000100011100…
…100000001101000011000000
3222101110000010021010210110002
4231300010130200031003000
5202333203120132220100
61551541025032055132
760245222133653015
oct5560043440150300
9871400107123402
10201215401054400
1159127a77247577
121a698a868344a8
1388376b9513115
143798c3d72d70c
15183e11adb02d5
hexb7011c80d0c0

201215401054400 has 84 divisors (see below), whose sum is σ = 497277724182720. Its totient is φ = 80134692326400.

The previous prime is 201215401054373. The next prime is 201215401054403. The reversal of 201215401054400 is 4450104512102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201215401054403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274217936 + ... + 274950735.

Almost surely, 2201215401054400 is an apocalyptic number.

201215401054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201215401054400 is an abundant number, since it is smaller than the sum of its proper divisors (296062323128320).

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

201215401054400 is a wasteful number, since it uses less digits than its factorization.

201215401054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549168922 (or 549168907 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 201215401054400 its reverse (4450104512102), we get a palindrome (205665505566502).

The spelling of 201215401054400 in words is "two hundred one trillion, two hundred fifteen billion, four hundred one million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 229 320 400 458 800 916 1145 1600 1832 2290 3664 4580 5725 7328 9160 11450 14656 18320 22900 36640 45800 73280 91600 183200 366400 549168671 1098337342 2196674684 2745843355 4393349368 5491686710 8786698736 10983373420 13729216775 17573397472 21966746840 27458433550 35146794944 43933493680 54916867100 87866987360 109833734200 125759625659 175733974720 219667468400 251519251318 439334936800 503038502636 628798128295 878669873600 1006077005272 1257596256590 2012154010544 2515192513180 3143990641475 4024308021088 5030385026360 6287981282950 8048616042176 10060770052720 12575962565900 20121540105440 25151925131800 40243080210880 50303850263600 100607700527200 201215401054400