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4422152740720 = 2451113419428093
BaseRepresentation
bin100000001011001110011…
…0101111101111101110000
3120122202100102112220021111
41000112130311331331300
51034423032100200340
613223301532203104
7634330032046051
oct100263465757560
916582312486244
104422152740720
111455473a33a50
125b5062009494
13261012b07280
14114067682728
157a06c603aea
hex4059cd7df70

4422152740720 has 160 divisors (see below), whose sum is σ = 12373581415104. Its totient is φ = 1448154931200.

The previous prime is 4422152740711. The next prime is 4422152740723. The reversal of 4422152740720 is 270472512244.

It is a happy number.

It is a super-2 number, since 2×44221527407202 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422152740723) by changing a digit.

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, 4245007 + ... + 5183086.

Almost surely, 24422152740720 is an apocalyptic number.

4422152740720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4422152740720 is an abundant number, since it is smaller than the sum of its proper divisors (7951428674384).

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

4422152740720 is a wasteful number, since it uses less digits than its factorization.

4422152740720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428171 (or 9428165 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 40.

The spelling of 4422152740720 in words is "four trillion, four hundred twenty-two billion, one hundred fifty-two million, seven hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 41 44 52 55 65 80 82 88 104 110 130 143 164 176 205 208 220 260 286 328 410 440 451 520 533 572 656 715 820 880 902 1040 1066 1144 1430 1640 1804 2132 2255 2288 2665 2860 3280 3608 4264 4510 5330 5720 5863 7216 8528 9020 10660 11440 11726 18040 21320 23452 29315 36080 42640 46904 58630 93808 117260 234520 469040 9428093 18856186 37712372 47140465 75424744 94280930 103709023 122565209 150849488 188561860 207418046 245130418 377123720 386551813 414836092 490260836 518545115 612826045 754247440 773103626 829672184 980521672 1037090230 1225652090 1348217299 1546207252 1659344368 1932759065 1961043344 2074180460 2451304180 2696434598 3092414504 3865518130 4148360920 4252069943 4902608360 5025173569 5392869196 6184829008 6741086495 7731036260 8296721840 8504139886 9805216720 10050347138 10785738392 13482172990 15462072520 17008279772 20100694276 21260349715 21571476784 25125867845 26964345980 30924145040 34016559544 40201388552 42520699430 50251735690 53928691960 55276909259 68033119088 80402777104 85041398860 100503471380 107857383920 110553818518 170082797720 201006942760 221107637036 276384546295 340165595440 402013885520 442215274072 552769092590 884430548144 1105538185180 2211076370360 4422152740720