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31220403414000 = 2435341126912209
BaseRepresentation
bin1110001100101000100010…
…00011100010001111110000
311002112122022121000200200120
413012110101003202033300
513043003341233222000
6150222242203450240
76401412462300243
oct706242103421760
9132478277020616
1031220403414000
119a475538a4069
123602881b26980
1314560c0b6a098
1479d10b5ad25a
153921aad6a6a0
hex1c65110e23f0

31220403414000 has 160 divisors (see below), whose sum is σ = 103109571190080. Its totient is φ = 8122381312000.

The previous prime is 31220403413993. The next prime is 31220403414023. The reversal of 31220403414000 is 41430402213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63210105 + ... + 63702104.

It is an arithmetic number, because the mean of its divisors is an integer number (644434819938).

Almost surely, 231220403414000 is an apocalyptic number.

31220403414000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220403414000 is an abundant number, since it is smaller than the sum of its proper divisors (71889167776080).

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

31220403414000 is a wasteful number, since it uses less digits than its factorization.

31220403414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126912276 (or 126912260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31220403414000 its reverse (41430402213), we get a palindrome (31261833816213).

The spelling of 31220403414000 in words is "thirty-one trillion, two hundred twenty billion, four hundred three million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 126912209 253824418 380736627 507648836 634561045 761473254 1015297672 1269122090 1522946508 1903683135 2030595344 2538244180 3045893016 3172805225 3807366270 5076488360 5203400569 6091786032 6345610450 7614732540 9518415675 10152976720 10406801138 12691220900 15229465080 15610201707 15864026125 19036831350 20813602276 25382441800 26017002845 30458930160 31220403414 31728052250 38073662700 41627204552 47592078375 50764883600 52034005690 62440806828 63456104500 76147325400 78051008535 83254409104 95184156750 104068011380 124881613656 126912209000 130085014225 152294650800 156102017070 190368313500 208136022760 249763227312 253824418000 260170028450 312204034140 380736627000 390255042675 416272045520 520340056900 624408068280 650425071125 761473254000 780510085350 1040680113800 1248816136560 1300850142250 1561020170700 1951275213375 2081360227600 2601700284500 3122040341400 3902550426750 5203400569000 6244080682800 7805100853500 10406801138000 15610201707000 31220403414000