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140502185212272 = 243133111123644701
BaseRepresentation
bin11111111100100100110110…
…110101101111100101110000
3200102110212200212022112112120
4133330210312311233211300
5121403441433403243042
61214453451322554240
741410643062124622
oct3774446665574560
9612425625275476
10140502185212272
114084a707738aa4
1213912321668980
1360523b74b2c90
14269a4b081cc12
151139bb6db9dec
hex7fc936d6f970

140502185212272 has 160 divisors (see below), whose sum is σ = 392490946638336. Its totient is φ = 43053994368000.

The previous prime is 140502185212261. The next prime is 140502185212303. The reversal of 140502185212272 is 272212581205041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217611522 + ... + 218256222.

Almost surely, 2140502185212272 is an apocalyptic number.

140502185212272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140502185212272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245473319168).

140502185212272 is an abundant number, since it is smaller than the sum of its proper divisors (251988761426064).

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

140502185212272 is a wasteful number, since it uses less digits than its factorization.

140502185212272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646159 (or 646153 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 140502185212272 in words is "one hundred forty trillion, five hundred two billion, one hundred eighty-five million, two hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 311 312 622 624 933 1123 1244 1866 2246 2488 3369 3732 4043 4492 4976 6738 7464 8086 8984 12129 13476 14599 14928 16172 17968 24258 26952 29198 32344 43797 48516 53904 58396 64688 87594 97032 116792 175188 194064 233584 349253 350376 644701 698506 700752 1047759 1289402 1397012 1934103 2095518 2578804 2794024 3868206 4191036 4540289 5157608 5588048 7736412 8381113 8382072 9080578 10315216 13620867 15472824 16762226 16764144 18161156 25143339 27241734 30945648 33524452 36322312 50286678 54483468 67048904 72644624 100573356 108966936 134097808 200502011 201146712 217933872 401004022 402293424 601506033 723999223 802008044 1203012066 1447998446 1604016088 2171997669 2406024132 2606526143 2895996892 3208032176 4343995338 4812048264 5213052286 5791993784 7819578429 8687990676 9411989899 9624096528 10426104572 11583987568 15639156858 17375981352 18823979798 20852209144 28235969697 31278313716 34751962704 37647959596 41704418288 56471939394 62556627432 75295919192 112943878788 125113254864 150591838384 225163758353 225887757576 450327516706 451775515152 675491275059 900655033412 1350982550118 1801310066824 2701965100236 2927128858589 3602620133648 5403930200472 5854257717178 8781386575767 10807860400944 11708515434356 17562773151534 23417030868712 35125546303068 46834061737424 70251092606136 140502185212272