Search a number
-
+
4401253513200 = 2435223159465707
BaseRepresentation
bin100000000001011111100…
…1001101111011111110000
3120120202101220222010202210
41000002333021233133300
51034102231344410300
613205524041212120
7632660110411425
oct100027711573760
916522356863683
104401253513200
11144761995aa95
125b0baaa91040
1325c06204675b
14113043ba1d4c
1579747960050
hex400bf26f7f0

4401253513200 has 120 divisors (see below), whose sum is σ = 14711668357248. Its totient is φ = 1122638570240.

The previous prime is 4401253513187. The next prime is 4401253513289. The reversal of 4401253513200 is 23153521044.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 79705254 + ... + 79760453.

Almost surely, 24401253513200 is an apocalyptic number.

4401253513200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401253513200 is an abundant number, since it is smaller than the sum of its proper divisors (10310414844048).

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

4401253513200 is a wasteful number, since it uses less digits than its factorization.

4401253513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159465751 (or 159465740 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 4401253513200 in words is "four trillion, four hundred one billion, two hundred fifty-three million, five hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 138 150 184 200 230 240 276 300 345 368 400 460 552 575 600 690 920 1104 1150 1200 1380 1725 1840 2300 2760 3450 4600 5520 6900 9200 13800 27600 159465707 318931414 478397121 637862828 797328535 956794242 1275725656 1594657070 1913588484 2391985605 2551451312 3189314140 3667711261 3827176968 3986642675 4783971210 6378628280 7335422522 7654353936 7973285350 9567942420 11003133783 11959928025 12757256560 14670845044 15946570700 18338556305 19135884840 22006267566 23919856050 29341690088 31893141400 36677112610 38271769680 44012535132 47839712100 55015668915 58683380176 63786282800 73354225220 88025070264 91692781525 95679424200 110031337830 146708450440 176050140528 183385563050 191358848400 220062675660 275078344575 293416900880 366771126100 440125351320 550156689150 733542252200 880250702640 1100313378300 1467084504400 2200626756600 4401253513200