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42302002214040 = 23351978979234917
BaseRepresentation
bin10011001111001001100111…
…10100001011010010011000
312112210000212021012220100020
421213210303310023102120
521021034000031322130
6225545134352510440
711624135023030032
oct1147446364132230
9175700767186306
1042302002214040
111252a1a64911a8
1248b24b2b4b420
131a7b0a56cb76a
14a635dbd80c52
154d558b056e10
hex267933d0b498

42302002214040 has 128 divisors (see below), whose sum is σ = 133587530208000. Its totient is φ = 10686640808448.

The previous prime is 42302002213997. The next prime is 42302002214057. The reversal of 42302002214040 is 4041220020324.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42302002214040.

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, 179954662 + ... + 180189578.

It is an arithmetic number, because the mean of its divisors is an integer number (1043652579750).

Almost surely, 242302002214040 is an apocalyptic number.

42302002214040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42302002214040 is an abundant number, since it is smaller than the sum of its proper divisors (91285527993960).

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

42302002214040 is a wasteful number, since it uses less digits than its factorization.

42302002214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313929 (or 313925 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42302002214040 its reverse (4041220020324), we get a palindrome (46343222234364).

The spelling of 42302002214040 in words is "forty-two trillion, three hundred two billion, two million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 78979 157958 234917 236937 315916 394895 469834 473874 631832 704751 789790 939668 947748 1174585 1184685 1409502 1500601 1579580 1879336 1895496 2349170 2369370 2819004 3001202 3159160 3523755 4463423 4501803 4698340 4738740 5638008 6002404 7047510 7503005 8926846 9003606 9396680 9477480 12004808 13390269 14095020 15006010 17853692 18007212 22317115 22509015 26780538 28190040 30012020 35707384 36014424 44634230 45018030 53561076 60024040 66951345 89268460 90036060 107122152 133902690 178536920 180072120 267805380 535610760 18553509743 37107019486 55660529229 74214038972 92767548715 111321058458 148428077944 185535097430 222642116916 278302646145 352516685117 371070194860 445284233832 556605292290 705033370234 742140389720 1057550055351 1113210584580 1410066740468 1762583425585 2115100110702 2226421169160 2820133480936 3525166851170 4230200221404 5287750276755 7050333702340 8460400442808 10575500553510 14100667404680 21151001107020 42302002214040