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140153034024352 = 2537535414128361
BaseRepresentation
bin11111110111011111101011…
…110011101010010110100000
3200101020111110220202110110001
4133313133223303222112200
5121332231403202234402
61214025225345145344
741343502560032266
oct3767375363522640
9611214426673401
10140153034024352
1140725627a19838
121387671b62b254
1360284b372802b
14268762b9c0436
151130a7e631187
hex7f77ebcea5a0

140153034024352 has 96 divisors (see below), whose sum is σ = 289264384244304. Its totient is φ = 66772424908800.

The previous prime is 140153034024323. The next prime is 140153034024403. The reversal of 140153034024352 is 253420430351041.

It can be written as a sum of positive squares in 8 ways, for example, as 134036098140816 + 6116935883536 = 11577396^2 + 2473244^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31884652 + ... + 36013012.

Almost surely, 2140153034024352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140153034024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144632192122152).

140153034024352 is an abundant number, since it is smaller than the sum of its proper divisors (149111350219952).

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

140153034024352 is a wasteful number, since it uses less digits than its factorization.

140153034024352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129002 (or 4128994 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 140153034024352 its reverse (253420430351041), we get a palindrome (393573464375393).

The spelling of 140153034024352 in words is "one hundred forty trillion, one hundred fifty-three billion, thirty-four million, twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 541 592 848 1082 1184 1696 1961 2164 3922 4328 7844 8656 15688 17312 20017 28673 31376 40034 57346 62752 80068 114692 160136 229384 320272 458768 640544 917536 1060901 2121802 4128361 4243604 8256722 8487208 16513444 16974416 33026888 33948832 66053776 132107552 152749357 218803133 305498714 437606266 610997428 875212532 1221994856 1750425064 2233443301 2443989712 3500850128 4466886602 4887979424 7001700256 8095715921 8933773204 16191431842 17867546408 32382863684 35735092816 64765727368 71470185632 82637402137 118372494953 129531454736 165274804274 236744989906 259062909472 330549608548 473489979812 661099217096 946979959624 1322198434192 1893959919248 2644396868384 3787919838496 4379782313261 8759564626522 17519129253044 35038258506088 70076517012176 140153034024352