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30103711440 = 24351113783233
BaseRepresentation
bin11100000010010100…
…100010111011010000
32212200222102222201120
4130002110202323100
5443123022231230
621455055002240
72113666216365
oct340224427320
985628388646
1030103711440
111184883aa70
125a01809380
132ab9a0800a
14165812446c
15bb2cb3310
hex702522ed0

30103711440 has 160 divisors (see below), whose sum is σ = 102549614976. Its totient is φ = 7244513280.

The previous prime is 30103711433. The next prime is 30103711501. The reversal of 30103711440 is 4411730103.

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 30103711440.

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, 320064 + ... + 403296.

Almost surely, 230103711440 is an apocalyptic number.

30103711440 is a gapful number since it is divisible by the number (30) 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 30103711440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51274807488).

30103711440 is an abundant number, since it is smaller than the sum of its proper divisors (72445903536).

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

30103711440 is a wasteful number, since it uses less digits than its factorization.

30103711440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83397 (or 83391 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 30103711440 in words is "thirty billion, one hundred three million, seven hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 137 165 176 220 240 264 274 330 411 440 528 548 660 685 822 880 1096 1320 1370 1507 1644 2055 2192 2640 2740 3014 3288 4110 4521 5480 6028 6576 7535 8220 9042 10960 12056 15070 16440 18084 22605 24112 30140 32880 36168 45210 60280 72336 83233 90420 120560 166466 180840 249699 332932 361680 416165 499398 665864 832330 915563 998796 1248495 1331728 1664660 1831126 1997592 2496990 2746689 3329320 3662252 3995184 4577815 4993980 5493378 6658640 7324504 9155630 9987960 10986756 11402921 13733445 14649008 18311260 19975920 21973512 22805842 27466890 34208763 36622520 43947024 45611684 54933780 57014605 68417526 73245040 91223368 109867560 114029210 125432131 136835052 171043815 182446736 219735120 228058420 250864262 273670104 342087630 376296393 456116840 501728524 547340208 627160655 684175260 752592786 912233680 1003457048 1254321310 1368350520 1505185572 1881481965 2006914096 2508642620 2736701040 3010371144 3762963930 5017285240 6020742288 7525927860 10034570480 15051855720 30103711440