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1274052100400 = 2452171259148817
BaseRepresentation
bin10010100010100011011…
…011000100000100110000
311111210112212210120121122
4102202203123010010300
5131333224314203100
62413142542041412
7161022125112332
oct22424333040460
94453485716548
101274052100400
11451360218172
12186b05579268
13931b13961b1
1445943377452
152321ae13985
hex128a36c4130

1274052100400 has 120 divisors (see below), whose sum is σ = 3243559742640. Its totient is φ = 479258951680.

The previous prime is 1274052100361. The next prime is 1274052100439. The reversal of 1274052100400 is 40012504721.

It is an interprime number because it is at equal distance from previous prime (1274052100361) and next prime (1274052100439).

It is a self number, because there is not a number n which added to its sum of digits gives 1274052100400.

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, 8486792 + ... + 8635608.

It is an arithmetic number, because the mean of its divisors is an integer number (27029664522).

Almost surely, 21274052100400 is an apocalyptic number.

1274052100400 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 1274052100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621779871320).

1274052100400 is an abundant number, since it is smaller than the sum of its proper divisors (1969507642240).

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

1274052100400 is a wasteful number, since it uses less digits than its factorization.

1274052100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150111 (or 150100 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 1274052100400 in words is "one trillion, two hundred seventy-four billion, fifty-two million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1259 1360 1700 2518 3400 5036 6295 6800 10072 12590 20144 21403 25180 31475 42806 50360 62950 85612 100720 107015 125900 148817 171224 214030 251800 297634 342448 428060 503600 535075 595268 744085 856120 1070150 1190536 1488170 1712240 2140300 2381072 2529889 2976340 3720425 4280600 5059778 5952680 7440850 8561200 10119556 11905360 12649445 14881700 20239112 25298890 29763400 40478224 50597780 59526800 63247225 101195560 126494450 187360603 202391120 252988900 374721206 505977800 749442412 936803015 1011955600 1498884824 1873606030 2997769648 3185130251 3747212060 4684015075 6370260502 7494424120 9368030150 12740521004 14988848240 15925651255 18736060300 25481042008 31851302510 37472120600 50962084016 63702605020 74944241200 79628256275 127405210040 159256512550 254810420080 318513025100 637026050200 1274052100400