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1340421361320 = 233537523157713
BaseRepresentation
bin10011100000010111010…
…101101100111010101000
311202010212021021100210110
4103200113111230322220
5133430140332030240
62503440413414320
7165561614403006
oct23402725547250
94663767240713
101340421361320
11477518a06228
1219794849a3a0
139952a55a212
1448c3babba76
1524d028dec80
hex1381756cea8

1340421361320 has 128 divisors (see below), whose sum is σ = 4130807984640. Its totient is φ = 347712491520.

The previous prime is 1340421361277. The next prime is 1340421361463. The reversal of 1340421361320 is 231631240431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23196784 + ... + 23254496.

It is an arithmetic number, because the mean of its divisors is an integer number (32271937380).

Almost surely, 21340421361320 is an apocalyptic number.

1340421361320 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 1340421361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065403992320).

1340421361320 is an abundant number, since it is smaller than the sum of its proper divisors (2790386623320).

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

1340421361320 is a wasteful number, since it uses less digits than its factorization.

1340421361320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62995 (or 62991 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 1340421361320 in words is "one trillion, three hundred forty billion, four hundred twenty-one million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 5231 10462 15693 20924 26155 31386 41848 52310 57713 62772 78465 104620 115426 125544 156930 173139 193547 209240 230852 288565 313860 346278 387094 461704 577130 580641 627720 692556 774188 865695 967735 1154260 1161282 1385112 1548376 1731390 1935470 2135381 2308520 2322564 2903205 3462780 3870940 4270762 4645128 5806410 6406143 6925560 7741880 8541524 10676905 11612820 12812286 17083048 21353810 23225640 25624572 32030715 42707620 51249144 64061430 85415240 128122860 256245720 301896703 603793406 905690109 1207586812 1509483515 1811380218 2415173624 3018967030 3622760436 4528450545 6037934060 7245520872 9056901090 11170178011 12075868120 18113802180 22340356022 33510534033 36227604360 44680712044 55850890055 67021068066 89361424088 111701780110 134042136132 167552670165 223403560220 268084272264 335105340330 446807120440 670210680660 1340421361320