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2214748100040 = 2335724799106319
BaseRepresentation
bin100000001110101001010…
…001100001010111001000
321211201122121021122100220
4200032221101201113020
5242241301003200130
64413235150030040
7316003344144210
oct40165121412710
97751577248326
102214748100040
117842a6622913
122b92967a8320
13130b08173158
14792a1543240
153c9260a9410
hex203a94615c8

2214748100040 has 128 divisors (see below), whose sum is σ = 7593799680000. Its totient is φ = 506202962688.

The previous prime is 2214748100027. The next prime is 2214748100041. The reversal of 2214748100040 is 400018474122.

It is a junction number, because it is equal to n+sod(n) for n = 2214748099974 and 2214748100010.

It is not an unprimeable number, because it can be changed into a prime (2214748100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20778001 + ... + 20884319.

It is an arithmetic number, because the mean of its divisors is an integer number (59326560000).

Almost surely, 22214748100040 is an apocalyptic number.

2214748100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214748100040 is an abundant number, since it is smaller than the sum of its proper divisors (5379051579960).

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

2214748100040 is a wasteful number, since it uses less digits than its factorization.

2214748100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131139 (or 131135 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 2214748100040 in words is "two trillion, two hundred fourteen billion, seven hundred forty-eight million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 24799 49598 74397 99196 106319 123995 148794 173593 198392 212638 247990 297588 318957 347186 371985 425276 495980 520779 531595 595176 637914 694372 743970 744233 850552 867965 991960 1041558 1063190 1275828 1388744 1487940 1488466 1594785 1735930 2083116 2126380 2232699 2551656 2603895 2975880 2976932 3189570 3471860 3721165 4166232 4252760 4465398 5207790 5953864 6379140 6943720 7442330 8930796 10415580 11163495 12758280 14884660 17861592 20831160 22326990 29769320 44653980 89307960 2636604881 5273209762 7909814643 10546419524 13183024405 15819629286 18456234167 21092839048 26366048810 31639258572 36912468334 39549073215 52732097620 55368702501 63278517144 73824936668 79098146430 92281170835 105464195240 110737405002 147649873336 158196292860 184562341670 221474810004 276843512505 316392585720 369124683340 442949620008 553687025010 738249366680 1107374050020 2214748100040