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543356370040 = 2351131101394411
BaseRepresentation
bin1111110100000101001…
…00000011110001111000
31220221111102212111212111
413322002210003301320
532400243212320130
61053340420422104
754153606640501
oct7720244036170
91827442774774
10543356370040
1119a488561a80
1289380b47934
133c31368b2c3
141c427481ba8
15e20210502a
hex7e82903c78

543356370040 has 128 divisors (see below), whose sum is σ = 1390349629440. Its totient is φ = 189316800000.

The previous prime is 543356370019. The next prime is 543356370061. The reversal of 543356370040 is 40073653345.

It is an interprime number because it is at equal distance from previous prime (543356370019) and next prime (543356370061).

It is a super-2 number, since 2×5433563700402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 543356369975 and 543356370002.

It is a congruent number.

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, 1180435 + ... + 1574845.

It is an arithmetic number, because the mean of its divisors is an integer number (10862106480).

Almost surely, 2543356370040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543356370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695174814720).

543356370040 is an abundant number, since it is smaller than the sum of its proper divisors (846993259400).

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

543356370040 is a wasteful number, since it uses less digits than its factorization.

543356370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394565 (or 394561 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 40.

The spelling of 543356370040 in words is "five hundred forty-three billion, three hundred fifty-six million, three hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 101 110 124 155 202 220 248 310 341 404 440 505 620 682 808 1010 1111 1240 1364 1705 2020 2222 2728 3131 3410 4040 4444 5555 6262 6820 8888 11110 12524 13640 15655 22220 25048 31310 34441 44440 62620 68882 125240 137764 172205 275528 344410 394411 688820 788822 1377640 1577644 1972055 3155288 3944110 4338521 7888220 8677042 12226741 15776440 17354084 21692605 24453482 34708168 39835511 43385210 48906964 61133705 79671022 86770420 97813928 122267410 134494151 159342044 173540840 199177555 244534820 268988302 318684088 398355110 438190621 489069640 537976604 672470755 796710220 876381242 1075953208 1234900841 1344941510 1593420440 1752762484 2190953105 2469801682 2689883020 3505524968 4381906210 4939603364 5379766040 6174504205 8763812420 9879206728 12349008410 13583909251 17527624840 24698016820 27167818502 49396033640 54335637004 67919546255 108671274008 135839092510 271678185020 543356370040