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135422031113040 = 24357701411149233
BaseRepresentation
bin11110110010101001100110…
…000011110010101101010000
3122202111012221012010021201110
4132302221212003302231100
5120222223304431104130
61200004004445533320
740344630113556120
oct3662514603625520
9582435835107643
10135422031113040
113a171185133421
1213231844274240
135a743203b1239
142562665a66c80
15109c9878daab0
hex7b2a660f2b50

135422031113040 has 160 divisors (see below), whose sum is σ = 479788167949056. Its totient is φ = 30953138872320.

The previous prime is 135422031113029. The next prime is 135422031113069. The reversal of 135422031113040 is 40311130224531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135422031112989 and 135422031113007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117262264 + ... + 118411496.

Almost surely, 2135422031113040 is an apocalyptic number.

135422031113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135422031113040 is an abundant number, since it is smaller than the sum of its proper divisors (344366136836016).

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

135422031113040 is a wasteful number, since it uses less digits than its factorization.

135422031113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219397 (or 1219391 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 135422031113040 its reverse (40311130224531), we get a palindrome (175733161337571).

The spelling of 135422031113040 in words is "one hundred thirty-five trillion, four hundred twenty-two billion, thirty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 70141 140282 210423 280564 350705 420846 490987 561128 701410 841692 981974 1052115 1122256 1149233 1402820 1472961 1683384 1963948 2104230 2298466 2454935 2805640 2945922 3366768 3447699 3927896 4208460 4596932 4909870 5611280 5746165 5891844 6895398 7364805 7855792 8044631 8416920 9193864 9819740 11492330 11783688 13790796 14729610 16089262 16833840 17238495 18387728 19639480 22984660 23567376 24133893 27581592 29459220 32178524 34476990 39278960 40223155 45969320 48267786 55163184 58918440 64357048 68953980 80446310 91938640 96535572 117836880 120669465 128714096 137907960 160892620 193071144 241338930 275815920 321785240 386142288 482677860 643570480 965355720 1930711440 80608351853 161216703706 241825055559 322433407412 403041759265 483650111118 564258462971 644866814824 806083518530 967300222236 1128516925942 1209125277795 1289733629648 1612167037060 1692775388913 1934600444472 2257033851884 2418250555590 2821292314855 3224334074120 3385550777826 3869200888944 4514067703768 4836501111180 5642584629710 6448668148240 6771101555652 8463876944565 9028135407536 9673002222360 11285169259420 13542203111304 16927753889130 19346004444720 22570338518840 27084406222608 33855507778260 45140677037680 67711015556520 135422031113040