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2124617012040 = 2335503117130059
BaseRepresentation
bin11110111010101101000…
…010101101001101001000
321112010000012201222022110
4132322231002231031020
5234302203423341130
64304011404022320
7306332663425665
oct36725502551510
97463005658273
102124617012040
1174a054a07436
122a3921b319a0
13125473144113
1474b91080a6c
153a3ed486ab0
hex1eead0ad348

2124617012040 has 128 divisors (see below), whose sum is σ = 6392189260800. Its totient is φ = 564936503040.

The previous prime is 2124617012033. The next prime is 2124617012071. The reversal of 2124617012040 is 402107164212.

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 = 2124617011989 and 2124617012007.

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, 70666531 + ... + 70696589.

It is an arithmetic number, because the mean of its divisors is an integer number (49938978600).

Almost surely, 22124617012040 is an apocalyptic number.

2124617012040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124617012040 is an abundant number, since it is smaller than the sum of its proper divisors (4267572248760).

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

2124617012040 is a wasteful number, since it uses less digits than its factorization.

2124617012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31747 (or 31743 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 2124617012040 in words is "two trillion, one hundred twenty-four billion, six hundred seventeen million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 503 1006 1171 1509 2012 2342 2515 3018 3513 4024 4684 5030 5855 6036 7026 7545 9368 10060 11710 12072 14052 15090 17565 20120 23420 28104 30059 30180 35130 46840 60118 60360 70260 90177 120236 140520 150295 180354 240472 300590 360708 450885 589013 601180 721416 901770 1178026 1202360 1767039 1803540 2356052 2945065 3534078 3607080 4712104 5890130 7068156 8835195 11780260 14136312 15119677 17670390 23560520 30239354 35199089 35340780 45359031 60478708 70398178 70681560 75598385 90718062 105597267 120957416 140796356 151196770 175995445 181436124 211194534 226795155 281592712 302393540 351990890 362872248 422389068 453590310 527986335 604787080 703981780 844778136 907180620 1055972670 1407963560 1814361240 2111945340 4223890680 17705141767 35410283534 53115425301 70820567068 88525708835 106230850602 141641134136 177051417670 212461701204 265577126505 354102835340 424923402408 531154253010 708205670680 1062308506020 2124617012040